Answer:
D. 16
Explanation:
For this you must the gravitational force equation, i.e.
[tex]\mathbf{F = \frac{Gm_{1}m_{2}}{r^{2}}}[/tex]
where [tex]\textrm{m}_{1}[/tex] and [tex]\textrm{m}_{2}[/tex] are mass of objects,
[tex]\textrm{r}[/tex] is the distance between objects
and [tex]\textrm{G}[/tex] is the universal gravitational constant which is approximately equal to [tex]\mathrm{6.67\times10^{-11} \frac{m^3}{kg\cdot s^{2}}}[/tex].
You must know that energy and its conservation in terms of gravitational forces.
Let mass of earth be equal to M and radius of earth as R.
Potential energy of an object of mass m at a distance r from center of earth = [tex]\mathbf{PE = -\frac{GMm}{r}}[/tex]
Kinetic energy of same object at any point of time = [tex]\mathbf{KE = \frac{1}{2}mv^{2}}[/tex] where v is the speed of the object.
Energy conservation states that total energy of a system is always constant.
Total energy = Potential energy + Kinetic energy
∴ Total energy initial = Total energy final
let the mass of object be m and mass of planet be [tex]\mathbf{M_{p}}[/tex] and initial distance between object and center of plant is equal to 2R. let the speed of object of object on earth equal to v.
Initial Kinetic energy is zero(0) as it is at rest so its speed is zero.
Total energy initially on earth= [tex]\mathrm{-\frac{GMm}{(2R)^{2}}+0}[/tex]
Total energy initially on planet= [tex]\mathrm{-\frac{GM_{p}m}{(2R)^{2}}+0}[/tex]
Total Energy finally on earth = [tex]\mathrm{-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
Total Energy finally on planet = [tex]\mathrm{-\frac{GM_{p}m}{R^{2}}+\frac{1}{2}m(4v)^{2}}[/tex]
Solving equation of earth
[tex]\mathrm{-\frac{GMm}{(2R)^{2}}+0=-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{-\frac{GMm}{4R^{2}}=-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{GMm}{R^{2}}-\frac{GMm}{4R^{2}}=\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{3GMm}{4R^{2}}=\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM}{2R^{2}}=v^{2}}[/tex]
[tex]\therefore\mathbf{v^{2}=\frac{3GM}{2R^{2}}}[/tex] _________eq(1)
Solving equation of planet
[tex]\mathrm{-\frac{GM_{p}m}{(2R)^{2}}+0=-\frac{GM_{p}m}{R^{2}}+\frac{1}{2}m(4v)^{2}}[/tex]
[tex]\mathrm{-\frac{GM_{p}m}{4R^{2}}=-\frac{GM_{p}m}{R^{2}}+\frac{16}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{GM_{p}m}{R^{2}}-\frac{GM_{p}m}{4R^{2}}=8mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM_{p}m}{4R^{2}}=8mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM_{p}}{32R^{2}}=v^{2}}[/tex]
[tex]\therefore\mathbf{v^{2}=\frac{3GM_{p}}{32R^{2}}}[/tex] ___________eq(2)
Using eq(1) and eq(2)
[tex]\mathrm{\frac{3GM_{p}}{32R^{2}}=\frac{3GM}{2R^{2}}}[/tex]
[tex]\mathrm{\frac{M_{p}}{16}=M}[/tex]
[tex]\therefore\mathbf{M_{p}=16M}[/tex]
Therefore mass of planet is 16 times the mass of Earth.
The mass of the planet is 16 times that of Earth. This is calculated based on the speed of a dropped object on the planet compared to Earth, which indicates its gravity and mass.
Explanation:The speed of a dropped object on another planet is determined by the acceleration due to gravity on that planet, which is influenced by the planet's mass. If the speed of the object upon arriving at the ground is four times greater on this planet vs. Earth, that indicates that the gravity (and thus the mass) of this planet is 16 times that of Earth. Therefore, in units of Earth masses, the mass of the planet is 16.
To further elucidate, the speed of the object when it hits the ground is proportional to the square root of the mass of the planet. Thus, if the speed is 4 times higher than what it would be on Earth, the mass of the planet must be 4^2, or 16 times the mass of Earth. Hence, the correct option is D. 16.
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What type of energy is elastic energy?
Answer:
it is potential energy
Explanation:
There is no movement taking place, so it can't be kinetic. There are no chemical reactions, so it isn't chemical energy, and gravity does not take part in the stretching of a rubber band. The stretched spring or rubber band has lots of energy ready to go at any point, but it is not being used at the moment, so it is potential energy.
The crest of one wave lines up with the trough of another wave. What happens between the waves?
A. A breaking wave
B. Destructive interference
C. Constructive interference
D. Wave reflection
Answer:
D
Explanation:
wave reflection I think is preferable
Answer: Option B
Explanation: The peak of a wave can be called the "positive" part of the wave, and the trough part of a wave can be called the "negative" part of a wave.
So if these two parts of the wave interfere with each other, they cancel each other (because one is "positive" and the other "negative")
This effect is called Destructive Interference (in the case where two peaks or two troughs interfere, the phenomenon is called constructive interference)
Then the correct option is B
Culture creates the context for behavior in society,
Please select the best answer from the choices provided
OT
OF
Answer:
its true on practice test ed
Explanation:
Culture creates the context for behavior in society. Culture plays a major role in the lives of everyone living in the society. The given statement is true.
What is the effect of culture over behavior?Culture is such a powerful influence on the outlooks and behaviors which often we are not even aware of it, instead of believing the perspectives are just the way things are. In the context of increasingly diverse classroom settings, such as the unexamined beliefs can lead to avoidable conflict and a loss of valuable things.
A culture creates the context for behavior through the reinforcements and punishments which it provides for each discrete behavior. By shaping the behaviors, cultures that reaffirm acceptable behavior and discourage deviant behavior.
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radio waves travel 300,000,000 m/s. The frequency is 101,700,000. ehats the wavelength
Answer:
we have formula of frequency :
frequency(f)= speed of sound(c)/wavelength(λ)
for wavelength we swipe it with frequency as follows
λ=c/f
λ=300,000,000/101,700,000
λ=2.949
A man of mass 50kg ascends a flight of stairs 5m high in 5 seconds. If acceleration due to gravity is 10ms-2, the power expended is
The power expended is 500 W
Explanation:
First of all, we start by calculating the work done by the man in order to ascend: this is equal to the gravitational potential energy gained by the man, which is
[tex]W=mg\Delta h[/tex]
where
m = 50 kg is the mass of the man
[tex]g=10 m/s^2[/tex] is the acceleration of gravity
[tex]\Delta h = 5 m[/tex] is the change in height
Substituting,
[tex]W=(50)(10)(5)=2500 J[/tex]
Now we can calculate the power expended, which is given by
[tex]P=\frac{W}{t}[/tex]
where
W = 2500 J is the work done
t = 5 s is the time elapsed
Substituting, we find
[tex]P=\frac{2500}{5}=500 W[/tex]
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________ can help reach your goals. A.) eustress B.) distress C.) a phobia D.) a compulsion
WILL BE MARKED AS BRAINLIEST AND ALSO GET 50 POINTS
Eustress can act as a positive force that helps reach one's goals by fostering optimal performance and well-being. It is different from distress, which has negative effects on health and productivity.
Explanation:The option that can help reach your goals is A) eustress. Eustress is a type of stress that acts as a positive, motivating force. It is associated with feelings of optimism, optimal health, and peak performance levels. When managed well, this kind of stress can enhance well-being and productivity, as is the case with athletes experiencing pregame stress or students experiencing stress before a major exam that may lead to improved memory recall. Contrarily, too much stress, known as distress, can have the opposite effect, highlighting the importance of maintaining stress at an optimal level for positive outcomes.
A Stone of mass 20kg fall from a height 5m.what is the time take to reach the ground? 2 . The average kinetic energy of body(neglect energy loss and take gravity 10m/s2)
Answer:
a) t = 1second
b) KE = 1000Joules
Explanation:
According to equation of motion,
S = ut+1/2at² where
S is the distance or height of fall = 5m
u = initial velocity = 0m/s²
a = +g = acceleration due to gravity = 10m/s²
Substituting the values in the formula to get the time we have,
5 = 0+1/2(10)t²
5 = 5t²
t² = 1
t = 1second
Time taken by the stone to reach the ground is 1second
b) Kinetic energy is the energy possessed by a body by virtue if its motion.
KE = 1/2MV² where m is the mass of the body and v is the velocity.
Given mass = 20kg
To get the velocity, we will use the equation of motion,
v = u + at
v is the final velocity
u is the initial velocity = 0m/s
a = +g = 10m/s
t = time = 1second
v = 0+10(1)
v = 10m/s
KE = 1/2×20×10²
KE = 10×100
KE = 1,000Joules
Four children pull on the same stuffed toy at the same time yet there is no net force on the toy. How is this possible.
Answer:
Net force is Zero.
Explanation:
If all forces that are equal and opposite are exerted on an object the resulting force will be Zero.
Answer:
If the net force in the stuffed toy is zero, this means that the forces that the children apply on the toy cancel each other.
This can happen if, for example, two kids pull by one side with a force F and the other two kids pull by the other side with the same force -F (the minus sign is because the direction is the opposite)
Then, the total force is F + (-F) = F - F = 0
If a box is not accelerating on a slope of 20 degrees, what is the net Force acting on the box?
If it is accelerating, what is the net Force?
Answer:
The net force is zero, if there is not external forces. The net force if the body is accelerating will be the product of the mass by the acceleration.
Explanation:
If the box does not accelerate, there are two possible options, either the box moves at constant velocity or does not receive any external force to alter its balance.
Newton's Second Law, also known as the Fundamental Law of dynamics, determines a proportional relationship between Force and variation of the amount of motion or linear moment of a body. In other words, The Force is directly proportional to the mass and acceleration of a body.
[tex]F=m*a\\where:\\m= mass [kg]\\a=acceleration[m/s^2][/tex]
[tex]0=m*a\\a=0[m/s^2][/tex]
If there are forces acting on the body and these forces are not in balance the body will move with a resulting force equal to the product of mass by acceleration.
[tex]F_{net} =m*a[/tex]
Which word or phrase does NOT fit with the others?
A) darkness
B) absence of light
C) light
D) night
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The correct option would be C. light.
All the rest are talking about darkness whilst this one is the opposite.
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Final answer:
The word 'light' does not fit with 'darkness', 'absence of light', and 'night', as it represents illumination, while the other terms are associated with the absence of light.
Explanation:
Among the listed options, C) light does not fit with the others. The words 'darkness', 'absence of light', and 'night' all relate to scenarios with limited or no light, whereas 'light' itself represents the presence of illumination. Common associations with darkness include the concept of dark energy being a form of energy that is invisible, and dark matter referring to matter in the universe that does not emit light or radiation, hence is not directly observable.
In literature, darkness often symbolizes the unknown, fear, or the presence of evil, while light typically symbolizes clarity, purity, and goodness. The poetic excerpt mentioning the transformation of 'Darkness become a light-possessing darkness' metaphorically depicts the emergence of light from within the darkness, highlighting the powerful connotations of light in literature.
Answer the question please
Answer: Commercialism
Explanation: Because one organism is benefited and one stay neutral
As a box is pushed 30 meters across a horizontal floor by a constant horizontal force of 25 newtons, the ki- netic energy of the box increases by 300 joules. How much total internal energy is produced during this process?
1. 150j
2.250j
3. 450j
4. 750j
The internal energy produced during this process is 450 J.
Answer: Option C
Explanation:
We know, that work done to perform a displacement will be equal to the change in the kinetic energy as per work energy theorem. Also the work done on that object can be determined by the product of force with displacement.
As the force here is applied in horizontal direction with magnitude of 25N. And with this force, the box got displaced by 30 m. So,
[tex]\text { Workdone }=\text { Force } \times \text { Displacement }=25 \times 30=750 \mathrm{J}[/tex]
But, according to work energy theorem, the workdone should be equaled to the variation in kinetic energy. While here, the kinetic energy has been found to change as 300 J in positive side.
So, the variation in kinetic energy is not matching with the work done to displace the box. Hence, it can be concluded that the difference in work done and modified kinetic energy will be giving the total internal energy of the box. Thus,
[tex]Total internal energy of the box = Work done - Kinetic energy =750-300=450 \mathrm{J}[/tex]
in an experiment, 1 mol of propane is burned to form carbon dioxide and water.
C3H8 + 502 3C02 + 4H20
1. How many moles of oxygen are needed for the reaction?
A 3 mol
B 1 mol
C 5 mol
D 10 mol
Answer:
5 moles of O2are required, you can see it in your equation.
Answer:
5 moles of O2are required, you can see it in your equation.
Explanation:
Guys I really need help with these 2 questions , it's for my final plz help asap
Answer:
(1) Initial speed, [tex]u=0[/tex]
Final speed, [tex]v=165.76m/s[/tex]
Average speed, [tex]v_a_v_g=82.87m/s[/tex]
(2) Force of gravity, [tex]F_g=12.8\times10^1^5N[/tex]
Explanation:
(1)
Given,
Distance, [tex]S=300meter[/tex]
Time, [tex]t=3.62second[/tex]
It is given that drag racer started at rest.
So Initial speed, [tex]u=0[/tex]
Using Newton's second equation of motion,
[tex]S=ut+\frac{1}{2}at^2\\300=0+\frac{a\times3.62^2}{2} \\a=45.79m/s^2[/tex]
Newton's first equation of motion,
[tex]v=u+at\\=0+45.79\times3.62\\=165.76 m/s[/tex]
So, Final speed, [tex]v=165.76m/s[/tex]
Average speed is defined as totle distance divided by totle time.
[tex]v_a_v_g=\frac{S}{t}\\=\frac{300}{3.62} \\=82.87m/s[/tex]
So, Average speed, [tex]v_a_v_g=82.87m/s[/tex]
(2)
Gravitation: It is the natural phenomenon in which two different bodies attract each other by virtue of their masses.
According to Newton's law of gravitation, the force of attraction between two bodies is directly proportional to the masses of the bodies and inversely proportional to square of distance between centers of mass of the bodies.
[tex]F_g\propto\frac{m_1m_2}{r^2} \\F_g=G\frac{m_1m_2}{r^2}[/tex]where [tex]G[/tex]is constant of proportionality and known as gravitation constant.
Given,
Mass of Jupiter, [tex]m_1=1.9\times10^2^7kg[/tex]
Mass of Ganymede, [tex]m_2=1.48\times10^2^3kg[/tex]
Distance between their centers of mass, [tex]r=1.21\times10^1^2meter[/tex]
[tex]F_g=G\frac{m_1m_2}{r^2}\\=\frac{6.67\times10^-^1^1\times1.9\times10^2^7\times1.48\times10^2^3}{(1.21\times10^1^2)^2} \\=12.8\times10^1^5N[/tex]
So, Force of gravity, [tex]F_g=12.8\times10^1^5N[/tex]
Rodney is trying out one of Santa's new games that consists of three pieces that blow apart if the wrong key is inserted into the door. The elf picks the wrong key and the board explodes. One piece of mass 2 kg goes off at an angle of 60° from the horizon at 10 m/s. A second piece of mass 1.2 kg travels at an angle of 180° and is moving at 15 m/s.
a) find the momentum of the third piece.
b) find the velocity of the third piece if it's mass is 3 kg.
Answer:
The third piece moves at 6.36 m/s at an angle of 65° below the horizon
Explanation:
Linear Momentum
It's a physical magnitude that measures the product of the velocity by the mass of a moving object. In a system where no external forces are acting, the total momentum remains unchanged regardless of the interactions between the objects in the system.
If the velocity of an object of mass m is [tex]\vec v[/tex], the linear momentum is computed by
[tex]\displaystyle \vec{P}=m.\vec{v}[/tex]
a)
The momentum of the board before the explosion is
[tex]\displaystyle \vec{P}_{t1}=m_t\ \vec{v}_o[/tex]
Since the board was initially at rest
[tex]\displaystyle \vec{P}_{t1}=<0,0>[/tex]
After the explosion, 3 pieces are propelled in different directions and velocities, and the total momentum is
[tex]\displaystyle \vec{P}_{t2}=m_1\ \vec{v}_1\ +\ m_2\ \vec{v}_2+m_3\ \vec{v}_3[/tex]
The first piece of 2 kg moves at 10 m/s in a 60° direction
[tex]\displaystyle \vec{v}_1=(10\ m/s,60^o)[/tex]
We find the components of that velocity
[tex]\displaystyle \vec{v}_1=<10\ cos60^o,10\ sin60^o>[/tex]
[tex]\displaystyle \vec{v}_1=<5,5\sqrt{3}>m/s[/tex]
The second piece of 1.2 kg goes at 15 m/s in a 180° direction
[tex]\displaystyle \vec{v}_2=(15,180^o)[/tex]
Its components are computed
[tex]\displaystyle \vec{v}_2=(15\ cos180^o,15\ sin180^o)[/tex]
[tex]\displaystyle \vec{v}_2=(-15,0)\ m/s[/tex]
The total momentum becomes
[tex]\displaystyle P_{t2}=2<5,5\sqrt{3}>+1.2<-15,0>+m_3\ \vec{v}_3[/tex]
Operating
[tex]\displaystyle P_{t2}=<10,10\sqrt{3}>+<-18,0>+m_3\ \vec{v}_3[/tex]
Knowing the total momentum equals the initial momentum
[tex]\displaystyle P_{t2}=<-8,10\sqrt{3}>+m_3\ \vec{v}_3=0[/tex]
Rearranging
[tex]\displaystyle m_3\ \vec{v}_3=<8,-10\sqrt{3}>[/tex]
Calculating
[tex]\displaystyle m_3\ \vec{v}_3=<8,-17.32>[/tex]
This is the momentum of the third piece
b)
From the above equation, we solve for [tex]\vec v_3[/tex]:
[tex]\displaystyle \vec{v}_3=\frac{1}{3}<8,-17.32>[/tex]
[tex]\displaystyle \vec{v}_3=<2.67,-5.77>m/s[/tex]
The magnitude of the velocity is
[tex]\displaystyle \vec{v}_3|=\sqrt{2.67^2+(-5.77)^2}=6.36[/tex]
And the angle is
[tex]\displaystyle tan\theta =\frac{-5.77}{2.67}=-2.161[/tex]
[tex]\displaystyle \theta =-65.17^o[/tex]
The third piece moves at 6.36 m/s at an angle of 65° below the horizon
An astronaut (mass of 100 kg, with equipment) is headed back to her space station at a speed of 0.750 m/s s but at the wrong angle. To correct her direction, she fires rockets from her backpack at right angles to her motion for a brief time. These directional rockets exert a constant force of 100.0 N for only 0.200 [Neglect the small loss of mass due to burning fuel and assume the Impulse at right angles to her initial momentum.(a) What is the magnitude of the impulse delivered to the astronaut? (b) What is her new direction (relative to the initial direction) (C) What is her new speed ?
Answer:
(a) 20.0 Ns
(b) 14.9°
(c) 0.776 m/s
Explanation:
Let's say the astronaut's original velocity is in the x direction. The impulse from rockets is at a right angle to this, or in the y direction.
(a) Impulse is force times time.
J = (100.0 N) (0.200 s)
J = 20.0 Ns
(b) Impulse is change in momentum.
J = mΔv
20.0 Ns = (100 kg) (vᵧ − 0 m/s)
vᵧ = 0.200 m/s
The angle of the new total velocity, relative to the x direction, is:
θ = atan(vᵧ / vₓ)
θ = atan(0.200 m/s / 0.750 m/s)
θ = 14.9°
(c) The magnitude of the new total velocity is:
v² = vₓ² + vᵧ²
v² = (0.750 m/s)² + (0.200 m/s)²
v = 0.776 m/s
To determine the speed at which the astronaut moves towards the space station after tossing a bag of tools, calculate the initial and final momenta of the system and apply the conservation of momentum principle.
An astronaut is detached from the space station during a spacewalk. To return, she tosses a 12 kg bag of tools away from the station at 5 m/s. Given that her total mass including the suit and equipment is 120 kg, we can calculate the speed at which she will move towards the station.
First, calculate the initial momentum of the system before the tools are tossed. Then, apply the principle of conservation of momentum to find the final velocity of the astronaut. This final velocity will represent the speed at which she moves towards the space station.
The process involves setting the initial momentum (before the toss) equal to the final momentum (after the toss) and solving for the final velocity.
A car starts from rest with an acceleration of 2ms-2.At the same time a motor cycle starts with an uniform velocity of 20ms-1 in the same path 84m behind the car.How many times will the vehicles meet during their motion?
Answer:
Twice
Explanation:
Use constant acceleration equation:
x = x₀ + v₀ t + ½ at²
where x is the final position,
x₀ is the initial position,
v₀ is the initial velocity,
a is the acceleration,
and t is time.
The position of the car is:
x = (84) + (0) t + ½ (2) t²
x = 84 + t²
The position of the motorcycle is:
x = (0) + (20) t + ½ (0) t²
x = 20t
When the positions are equal:
84 + t² = 20t
t² − 20t + 84 = 0
(t − 6) (t − 14) = 0
t = 6 or 14
The vehicles meet twice, once after 6 seconds, and once after 14 seconds.
100 POINTS 2H2O
How many hydrogen atoms are represented by this much water?
A) 1
B) 2
C) 4
D) 6
-- H₂O is a single molecule of water. It's made of two Hydrogen atoms and one Oxygen atom.
-- 2 H₂O is two molecules of water. Between them, they have a total of four Hydrogen atoms and two Oxygen atoms. (C)
The number of hydrogen atoms in 2H₂O is 4 atoms.
The compound is water . And the water can be interpreted as 2 molecules of water.
H₂O → Water
2H₂O → 2 molecules of water.
The number of hydrogen atoms in 2 molecules of water is the individual number of hydrogen atoms in the compound.
Therefore, the number of hydrogen atom in the compounds is as follows:
2H₂O → 2 × 2 = 4 atoms of hydrogen.
The number of hydrogen atom is 4.
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i drop an egg from a certain distance and it takes the egg 3.74 seconds to reach the ground. How high up was the egg?
A. - 34.3m
B. 68.6m
C. 34.3m
D. - 68.6m
Answer:
B. 68.6m
Explanation:
Free Fall Motion
When a body is left to move in the air with no friction, the motion is ruled only by the force of gravity. The vertical distance a body travels in the air after a time t is .
[tex]\displaystyle y=\frac{gt^2}{2}[/tex]
We know the egg takes 3.74 seconds to reach the ground. The height it was launched from is
[tex]\displaystyle y=\frac{(9.8)(3.474)^2}{2}[/tex]
[tex]\displaystyle y=68.54\ m[/tex]
The closest correct option is
B. 68.6m
Physical science help!
“Match the wavelength and type of wave.”
Teacher said we may use google but I can’t seem to find the correct direct answers so if anybody is polite enough to help ya girl out then I’d greatly appreciate it :)
Answer:
Let's begin by explaining that the electromagnetic spectrum is the set of electromagnetic radiations distributed in their different frequencies or wavelengths. So, if we go from the smallest wavelengths known up to now (because according to physics the electromagnetic spectrum is infinite and continuous) to the longest, the electromagnetic spectrum covers the following radiations:
Gamma rays, X-rays, ultraviolet, visible light, infrared, radio waves and microwaves:
-Gamma rays: With a wavelength in the order of [tex]10^{-12}m [/tex], is a type of ionizing radiation capable of penetrating matter quite deeply and is able to cause serious damage to the nucleus of the cells.
-X rays: With a wavelength between [tex]1m[/tex] and [tex]10km[/tex]. It is invisible to the human eye, capable of crossing opaque bodies and is also an ionizing radiation.
-Ultraviolet light (UV): Whose wavelength is approximately between 100 nm and 380 nm; is a type of electromagnetic radiation that is not visible to the human eye.
-Visible light: This part of the spectrum is located between ultraviolet light and infrared light (400 nm - 800 nm). It should be noted, the fact the only part of the whole electromagnetic spectrum is visible to humans is because the receptors in our eyes are only sensitive to these wavelengths.
-Infrared: This type of radiation is not visible to the human eye, since its wavelengths are outside the visible spectrum (between 700 nm and 1 mm).
These waves can be divided into:
- Near infrared or long wave infrared: it is the least sensitive to color and is easily absorbed by water.
- Medium or medium wave infrared: it is also insensitive to color and easily absorbed by water and many types of plastics and paints.
- Far infrared or short wave infrared: it is more penetrating than the long wave and is good for heating metals, these waves also can pass through clear materials.
This light has many uses, including heating lamps in physiotherapy and medical treatments, heat sensing devices, among others.
-Radio waves: This is a type of electromagnetic radiation with wavelengths between 10 m to 10,000 m. This type of electromagnetic waves is very well reflected in the ionosphere, the layer of the atmosphere through which they travel directly or using repeaters. In addition, this radiation is important in telecommunications.
A 2.00x10^6 hertz radio signal is sent a distance of 7.30x10^10 meters from earth to a spaceship orbiting Mars. How much time does it take for the radio signal to travel from earth to the spaceship
Answer:
It takes [tex] 2.43\times 10^2[/tex] for the radio signal to travel from earth to the spaceship.
Explanation:
Given:
The frequency of the radio signal = [tex]2.00 \times 10^6[/tex] hertz
Distance =[tex]7.30\times 10^10[/tex] meters
To Find:
The time taken for the radio signal to travel from the earth to the spaceship= ?
Solution:
we know that the time taken can be found by dividing the distance travelled by the speed at which the signal travels
So
[tex]Time = \frac{Distance}{Speed}[/tex]
Here the speed of the radio signal is equal the the speed of light
Now substituting the values,
Time taken is
=>[tex]Time = \frac{7.30\times 10^10}{3 \times 10^8}[/tex]
=>[tex]Time = 2.43\times 10^{10-8}[/tex]
=>[tex]Time = 2.43\times 10^2[/tex]
The time taken for the 2×10⁶ Hz radio signal to get to the spaceship from Earth is 243.33 s
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
How to determine the timeSpeed of radio signal = 3×10⁸ m/sDistance = 7.3×10¹⁰ mTime =?speed = distance / time
3×10⁸ = 7.3×10¹⁰ / time
Cross multiply
3×10⁸ × time = 7.3×10¹⁰
Divide both sides by 3×10⁸
Time = 7.3×10¹⁰ / 3×10⁸
Time = 243.33 s
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1. Which wave refracts?
an ocean wave approaching the shore at an angle
a wave that ripples in a fountain
an ocean wave hitting a break wall
a wave going around an obstruction
Answer:
I want to say your answer is A) an ocean wave approaching the shore at an angle. But not 100% sure. I'm so sorry if it's wrong I really tried to figure it out.
Explanation:
Refraction of waves involves a change in the direction of waves as they pass from one medium to another. Refaction , or the bending of the path of the waves, is accompanied by a change in speed and wavelength of the waves. Thus, if water waves are passing from deep water into shallow water, they will slow down. ( This is what I read on google maybe it'll help you out).
Answer:
an ocean wave approaching the shore at an angle
a projectile is lunched with an initial speed of 60.0mm/s at an angle of 30.0° above the horizontal.The projectile lands on a hillside 4 s later.Neglect air friction.(a)what is the projectile's velocity at the highest point of its trajectory?
Answer:
52 mm/s (approximately)
Explanation:
Given:
Initial speed of the projectile is, [tex]u=60.0\ mm/s[/tex]
Angle of projection is, [tex]\theta=30.0\°[/tex]
Time taken to land on the hill is, [tex]t=4\ s[/tex]
In a projectile motion, there is acceleration only in the vertical direction which is equal to acceleration due to gravity acting vertically downward. There is no acceleration in the horizontal direction.
So, the velocity in the horizontal direction always remains the same.
The horizontal component of initial velocity is given as:
[tex]u_x=u\cos\theta\\u_x=60\times \cos(30)\\u_x=30\sqrt3\approx52\ mm/s[/tex]
Now, the velocity in the vertical direction goes on decreasing and becomes 0 at the highest point of the trajectory. So, at the highest point, only horizontal component acts.
Therefore, the projectile's velocity at the highest point of its trajectory is equal to the horizontal component of initial velocity and thus is equal to 52 mm/s.
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How much energy is needed to melt 5 g of ice? The specific latent heat of melting for water is 334000 J/kg.
The amount of energy needed to melt the ice is 1670 J
Explanation:
The amount of thermal energy needed to completely melt a certain amount of solid substance (already at melting point) is given by
[tex]Q=m\lambda_f[/tex]
where
m is the amount of the substance
[tex]\lambda_f[/tex] is the specific latent heat of fusion of the substance
Here, the mass of the ice is
m = 5 g = 0.005 kg
And the specific latent heat of fusion of ice is
[tex]\lambda_f = 334,000 J/kg[/tex]
Assuming that the ice is already at melting point, the thermal energy needed to melt the ice is
[tex]Q=(0.005)(334,000)=1670 J[/tex]
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To melt 5 grams of ice, 1670 J or 1.67 kJ of energy is required. This calculation is based on the specific latent heat of melting for water, which is 334000 J/kg.
Explanation:To calculate the energy required to melt ice, the specific latent heat of melting for water is required. For water, the specific latent heat of fusion (melting) is 334000 J/kg. To find the energy needed to melt 5 grams of ice, this value needs to be used in the formula:
Q = mLf
where Q is the energy in joules, m is the mass of the substance in kilograms, and Lf is the latent heat of fusion in joules per kilogram. First, convert the mass of ice from grams to kilograms:
5 g = 0.005 kg
Next, apply the values to the formula:
Q = (0.005 kg)(334000 J/kg) = 1670 J or 1.67 kJ.
This is the amount of energy needed to melt 5 grams of ice at 0°C.
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An example of an atom that has no charge is one that has
A. 3 protons, 2 electrons, and 1 neutron.
B. 1 proton, 2 electrons, and 3 neutrons.
C. 2 protons, 2 electrons, and 1 neutron.
D. 3 protons, 1 electron, and 3 neutrons.
Answer:
2 protons, 2 electrons and 1 neutron
Explanation:
Steam enters a turbine at 400K and exhausts at 360K. Calculate the maximum efficiency. =%
The maximum efficiency is 10%
Explanation:
The maximum efficiency of a machine is given by:
[tex]\eta=1-\frac{T_C}{T_H}[/tex]
where
[tex]T_H[/tex] is the temperature of the hot reservoir
[tex]T_C[/tex] is the temperature of the cold reservoir
For the machine in this problem, we have:
[tex]T_H=400K[/tex] is the temperature of the hot reservoir
[tex]T_C=360K[/tex] is the temperature of the cold reservoir
substituting, we find the max efficiency:
[tex]\eta=1-\frac{360}{400}=0.1[/tex]
So, the efficiency is 0.10 (10%).
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Answer:
10.0%
Explanation:
how many days does it take a team of drivers to drive a truck california and back to lansing if the drivers average 15m/s including breaks and traffic? california is 1800 miles from lansing
Answer:
t = 2.2 [days] and is there is a round trip, it will be double time t = 4.4 [days]
Explanation:
First, we need to arrange the problem to work in the same unit system (SI).
We need to convert the 1800 [miles] to meters, therefore:
[tex]1800[miles] * \frac{1609.34[m]}{1[mile]} }=2896812[m] = 2896.8[km][/tex]
Now using the following equation of kinematics, for the avarage velocity we have:
[tex]v=\frac{x}{t} \\where \\v=velocity [m/s]\\t = time [s]\\x=distance traveled [m]\\[/tex]
therefore:
[tex]t=\frac{x}{v} \\t=\frac{2896812}{15}\\ t=193120.8[s][/tex]
Now we can convert from seconds into days.
[tex]193120.8[s]*\frac{1[hr]}{3600[s]}*\frac{1[day]}{24[hr]}\\ t = 2.2[days][/tex]
Now if the truck has the need to come back, the team will spend double time.
t= 4.4 [days]
It would take approximately [tex]4.47[/tex] days to drive a truck from California to Lansing and back, considering an average speed of [tex]15 m/s[/tex]. This speed converts to [tex]33.55 mph[/tex], and the total round trip distance is 3600 miles.
Calculating the Duration of the Trip
To determine how many days it takes a team of drivers to drive a truck from California to Lansing and back, we need to follow these steps:
Calculate the total distance of the round trip. Since California is [tex]1800[/tex] miles from Lansing, a round trip would be [tex]1800 \, \text{miles} \times 2 = 3600 \, \text{miles}[/tex]Convert the average speed from meters per second to miles per hour.Given the average speed is [tex]15 m/s[/tex] , we convert it as follows:[tex]15 \, \text{m/s} = 15 \times 2.23694 = 33.55 \, \text{mph}[/tex] (since [tex]1 m/s = 2.23694 mph[/tex]).
Calculate the total time taken for the trip.Time is distance divided by speed . Hence,
[tex]\text{time} = \frac{3600 \, \text{miles}}{33.55 \, \text{mph}} \approx 107.3 \, \text{hours}[/tex]
Convert the total time from hours to days.Since there are 24 hours in a day, the time in days is [tex]\frac{107.3 \, \text{hours}}{24} \approx 4.47 \, \text{days}[/tex]
Therefore, it would take approximately [tex]4.47[/tex]days for the team of drivers to drive a truck from California to Lansing and back.
According to the kinetic molecular therory, the pressure of a gas in a container will increase if the
According to the kinetic molecular theory, the pressure of a gas in a container will increase if the number of collisions with the container wall increases.
Explanation:
Keeping the volume of the vessel constant, if we increase the amount of gas in it; the pressure will increase. This is because when the number of gas particles increases in that limited volume, they hit the walls of the container with more energy and hence, the overall pressure of the gas increases.
If we decrease the amount of gas in the vessel or increase the volume for the same amount of gas, the pressure decreases. As the pressure inside the vessel depends upon the gas supplied in the container.
A stone is whirled with uniform speed in a horizontal circle of radius 15cm .It takes the stone 10 seconds to describe an arc of length 4cm . Calculate . a.Angular velocity b. linear velocity c. periodic time
Final answer:
The angular velocity is 0.02667 radians/second, the linear velocity is 0.004 m/s, and the periodic time is approximately 235.62 seconds.
This question involves circular motion. We will apply the concepts of circular motion to analyse each part of the question.
a. Angular Velocity
To find the angular velocity (ω), we start by calculating the angle (θ) in radians.
Since 1 complete circle is 2π radians:
θ = s / r = 4 cm / 15 cm = 4 / 15 radians
Given the time (t) is 10 seconds:
ω = θ / t = (4 / 15) / 10 = 4 / 150 radians/second = 0.02667 radians/second
b. Linear Velocity
The linear velocity (v) is related to the angular velocity by:
v = ω r
Here, r = 15 cm = 0.15 m:
v = 0.02667 rad/s × 0.15 m = 0.004 m/s
c. Periodic Time
The periodic time (T) is the time it takes for one complete revolution.
First, we find the circumference (C) of the circle:
C = 2πr = 2π × 0.15 m = 0.3π m
We already know the linear velocity (v):
T = C / v = 0.3π / 0.004 = 75π s ≈ 235.62 seconds
A substance that speeds up a chemical reaction without undergoing a permanent change itself is a(n)
a. inhibitor.
c. reactant.
b. coefficient.
d. catalyst.
Catalyst
Explanation:To answer the following question we need to ask ourselves the following questions;
What is a catalyst?
A catalyst is any substance that increases the rate at which a chemical reaction occurs.How does it perform its function?
Catalysts increase the rate of chemical reaction without be consumed.They do so by reducing the amount of activation energy of the reactants. By so doing the rate of formation of products increases.Do catalysts undergo any change after the reaction?
Catalysts do not undergo permanent changes during the reaction. They remain the same at the end of the reaction/