a. [tex]x(t) = vt' = v(t+4) = 6(t+4) [m][/tex]
Let's call:
[tex]t[/tex] the time calculated from the moment Diane starts her motion and [tex]t'[/tex] the time calculated from the moment Derek starts his motion. Derek starts his motion 4 seconds before Diane: this means that has an "advantage" of 4 seconds, so we can write
[tex]t'=t+4[/tex]
Then:
[tex]v=6 m/s[/tex] is the uniform speed of Derek
Derek is moving in a uniform motion, so Derek's position will be given by (assuming that the starting position is zero):
[tex]x(t) = vt' = v(t+4) = 6(t+4) [m][/tex]
We see that this is correct: in fact, when t=0 (instant when Diane starts her motion), Derek has already travelled for
[tex]x(t=0)=v(0+4)=6 (4)=24 m[/tex]
b. [tex]x'(t)= \frac{1}{2}at^2 =\frac{1}{2}(2)t^2=t^2 [m][/tex]
t is the time calculated from the moment Diane starts her motion. Diane is moving by accelerated motion, with constant acceleration [tex]a=2 m/s^2[/tex] and initial velocity [tex]v_0=0[/tex], so its position at time t is given by the law of uniform accelerated motion:
[tex]x'(t)= \frac{1}{2}at^2 =\frac{1}{2}(2)t^2=t^2[/tex]
c. t = 8.74 s
The time t at which Diane catches up with Derek is the time t at which the positions of the two persons is equal:
[tex]x(t)=x'(t)[/tex]
By solving, we have:
[tex]6 (t+4) = t^2\\t^2 -6t -24 =0[/tex]
Which has two solutions:
t = -2.74 s --> negative, we can discarde it
t = 8.74 s --> this is our solution
d. 76.4 m
When Diane catches Derek, at t=8.74 s, she has covered the following distance:
[tex]x'(t=8.74s)=t^2 = (8.74 s)^2=76.4 m[/tex]
We can verify that Derek is at the same position:
[tex]x(t=8.74 s)=6(t+4)=6(8.74 +4)=76.4 m[/tex]
What is the amplitude of the wave shown in the diagram?
Answer: The amplitude of the wave is 3 cm
Explanation:
Amplitude is defined as the maximum distance that is moved by a point on a wave which is measured from its equilibrium position. It is equal to the half the length of the vibration path.
In the given figure,
OA is the one half of the distance of the vibration pathway and is the amplitude of the wave.
Distance of OA = 3 cm
Hence, the amplitude of the wave is 3 cm
please help on this one ?
Answer:
N/nm
Explanation:
The spring constant is a factor on the proportionality between the force of a spring and its stretched distance. The force is the product of the spring constant, typically measured in Newtons per meter and the distance measured in meters.
The unit N/nm is correct, however, it implies the distance must be expressed in nanometers (billionths of a meter), which is quite unusual.
force/ectension suggesta A
what are the factors that affect the strength of a frictional force?
the acceleration of the object
the color and density of an object
the bouyant forces acting on an object
the mass of an object and how rough the surface is
The (blank) is something that should be tested according to the comfort level of the golfer. a. GRIP b. PUTTING GREEN c. SAND TRAP d. TEE
Answer: a). Grip
The grip is the important thing to be consider for golfer. It is the most fundamental important aspects to the game, because it provides the solid contact.
Applying the correct grip, results in better golf shots and an increased confidence to the golfer, to address the ball in the right direction.
Simply the grip is the pressure applied to the club with the hand such that the golfer feels comfortable to make a brilliant shot.
What point is labeled in the scatter plot?
A. (2,8)
B. (7,4)
C. (8,2)
D. (4,7)
What is the mass of an object that has a density of 3.2 g/cm^3 and a volume of 5.5cm^3? (The density of an object has the equation d = m/v.)
Mass = density * volume
m = ???
d =3.2 grams / cm^3
V = 5.5 cm^3
Mass = 3.2 grams/cm^3 * 5.5 cm^3
Mass = 17.6 grams
The more reactive an atom, the higher its potential energy. Which atom has the higher potential energy? Ne F Which of these statements is true about your choice? This atom will gain two more electrons to fill its outer energy level. This atom will lose one more electron to fill its outer energy level. This atom will gain one more electron to fill its outer energy level. This atom will lose two more electrons to fill its outer energy level.
Fluorine (F) has higher potential energy as Neon (N) is a noble/inert gas.
Fluorine will lose another electron to gain stability.
Fluorine has the higher potential energy. And the statement, "This atom will lose two more electrons to fill its outer energy level" is correct.
The concept of potential energy of an atoms is like that, the electrons absorb energy, they excites and move to higher energy level. Then the distance between lower energy level and higher energy level decides the potential energy. Which means, higher the energy level, higher will be the potential energy.
Also, more the tendency to loose electrons, more will be the potential energy of electrons of an atoms.
In the given problem, the neon (Ne) is a noble gas which do not has tendency to either loose electrons or gain electrons. Which means it is highly stable and do not have any observed value of potential energy.While fluorine has the electronic configuration of [tex][2s^{2}\;\; 2p^{5}][/tex], which means it has the tendency to loose two electrons to gain the stability. So, compared to neon, fluorine has higher potential energy. Because the atoms will loose two more electrons to fill its outer energy level.Thus, we can conclude that fluorine has the higher potential energy. And the statement, "This atom will lose two more electrons to fill its outer energy level" is correct.
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the electric force between two charged objects depends on
Answer:And the equation shows that the electrical force depends inversely upon the distance of separation between the two charged objects. So whatever change is made in the separation distance, the opposite or inverse change is made in the strength of the electrical force.
Explanation:
does this help
A combustion engine converts ______ energy to ______ energy
A combustion engine converts chemical energy (from the gasoline/kerosene/jet fuel) to mechanical/kinetic energy (in the rotating drive-shaft).
A combustion engine converts chemical energy stored in fuel into mechanical energy with an efficiency of typically 25%-30%. Gas-electric hybrid engines aim for higher efficiency, while large electrical generators and mammalian liver cells can demonstrate efficiencies from 30% to approximately 99%.
Explanation:A combustion engine converts chemical energy to mechanical energy. This transformation occurs when a fuel, such as gasoline, is combusted inside the engine's cylinders. The chemical reaction between the gasoline and oxygen rapidly produces gaseous products that expand and exert a force on the pistons. As the pistons move, they generate mechanical energy, which moves the vehicle. However, the efficiency of this conversion is low, with most internal combustion engines converting only 25%-30% of the fuel's stored energy into work, while the remainder is wasted as heat.
Modern advancements, such as gas-electric hybrid engines, aim to increase fuel efficiency by up to 50% compared to traditional combustion engines. On the other hand, large electrical generators demonstrate high efficiency (approximately 99%) in their energy conversion from mechanical to electrical energy. In terms of everyday appliances, the traditional incandescent light bulb exhibits one of the lowest efficiencies, with only around 5% of the electrical energy turning into light, whereas mammalian liver cells can have an efficiency between 30%-50% when using fuels like glucose.
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Kayakers wax their boats to a) reduce the work output b) reduce the weight of the kayak c) reduce their input force d) reduce the speed the boat traveles in water
Kayakers wax their boats to
c) reduce their input force
Wax is applied by the kayakers to reduce the force of friction between the water and surface of boat. reducing the force of friction between the water and surface of boat reduces the amount of force needed to gain a particular amount of acceleration. hence the input force is greatly reduced by waxing the surface of boat.
All of the following could cause diffraction except
Answer
Another wave
Explanation
Diffraction is the is the change of direction of a wave due to an obstacle or an opening in the media. It results in to a disturbance.
It occurs when a wave goes through a gap or meets a barrier in a media such as a small island, a large ship or a protruding rock.
The correct answer is another ship.
B. another wave
is the correct choice
Based on its location on the periodic table, which element is a metal?
A. Sodium (Na)
B. Neon (Ne)
C. Chlorine (Cl)
D. Carbon (C)
Sodium (Na) is a Alkali metal so that's the answer
The metric unit of force is the _____.
A.newton
B.pound
C.kilogram
D.watt
Force = mass × acceleration = kg × m/s^2 = Newton
Answer:
Option A is the correct answer.
Explanation:
Force = Mass x acceleration
Unit of force = Unit of mass x Unit of acceleration = kg x m/s²
kg m/s² is also called as Newton (N)
Option A is the correct answer.
If at the rate at which a disturbence is made is doubled, what what is the effect on the period, frequency, amplitude, and wavelength of a wave?
by definition , frequency is the rate at which disturbance is made through a medium. hence when rate at which disturbance is made doubled, the frequency also gets doubled,
Time period is given as
T = 1/f where T = time period , f = frequency
so when frequency is doubled , Time period becomes half , since Time period is inversely related to the frequency.
Amplitude does not depend on frequency hence amplitude remains unchanged .
wavelength is given as
λ = v/f
Wavelength becomes half when the frequency is doubled since wavelength is inversely related to frequency and speed is constant.
A 700.0-cm rope under a tension of 65.0 N is set into oscillation. The mass density of the rope is 90.0 g/cm. What is the frequency of the second overtone (n = 3)?
0.58 Hz . . . . (none of the offered choices)
Explanation:The attachment shows the formula for the fundamental frequency. In order to use it, we need the various parameters to be in compatible units. For tension (T) in Newtons, the mass density (m/L) must be in kg/m.
We have a mass density of 90 g/cm, so ...
... (90 g/cm)×(1 kg/(1000 g))×(100 cm/m) = 9 kg/m
Likewise, the length (L) must be in meters:
... (700 cm)×(1 m/(100 cm)) = 7 m
Then the fundamental frequency (f₁) is ...
... f₁ = √(T/(m/L))/(2L) = √(65/9)/(2·7) = 0.192 . . . Hz
The 2nd overtone (3rd harmonic) is 3 times this frequency:
... f₃ = 3·f₁ ≈ 3·0.192 Hz = 0.576 Hz
_____
Comment on answer choices
Very likely, your computer is expecting you to select 0.18 Hz. This number is the number you get if you use the mass density of 90 g/cm directly, without changing it to kg/m first. That is, the correct answer (0.58 Hz) is inappropriately divided by √10 to get 0.18 "Hz." (The units are not actually Hz, but are Hz×√10.)
Have your teacher show you the dimensional analysis that goes along with arriving at the number 0.18 "Hz".
You can't do this problem the way the units are now, and when you do try it as it stands, you can't get the answers they are getting. Since you are likely doing a review, you might be intended to get the a different answer than the ones listed so that you can make an educated appeal. You can proceed in one of two ways but you must choose one of them.
The rope is in gram / cm so you could change the 65 N into dynes
1 Newton = 10^5 dynesT = 65 * 10^5 dynesm/l = 90 grams / cmL = 700 cmf = ??Formula
f = sqrt(T / (m/L )) * 2 * L
Solution
f= sqrt(65 * 10^5 / (90) / 700 cm * 2f = sqrt(65 * 10^5 / 90) / 1400f = sqrt(72222.2) / 1400f = 268.741 / 1400f = 0.192 Note this is the fundamental frequency.f3 = 3*0.192f3 = 0.576 HzThe other way to do it to convert the 90 grams / cm into kg / m
90 grams / cm * [ 1 kg/1000 grams] * [100 cm / 1 m]
90 grams / cm = 9 kg / m
Givens
T = 65 Ndensity = 9 kg / mL = 700 cm = 7 meters.Solution
f = sqrt(65 /(9) ) / 2 * 7f = sqrt(7.2222) / 14F = 2.69 / 14F = 0.192 Hzf3 = 3*0.192f3 = 0.576 Hz In any case the answer is not there and I'm reasonably certain that two of us doing the same question getting more or less the same answer cannot be totally incorrect unless we are both making the same mistake.
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Bobby tries to push his new big screen TV into the living room. However, Bobby does not push hard enough and cannot move the TV. List and describe the forces that would be included on the free body diagram of Bobby's TV. Be sure to include the name, direction, and brief description, for each force.
Please help on this one
Earth revolves around the sun, (and rotates on its axis).
Ball a of mass 5.0 kilograms moving at 20 meters per second collides with ball b of unknown mass moving at 10 meters per second in the same direction. after the collision, ball a moves at 10 meters per second and ball b at 15 meters per second, both still in the same direction. what is the mass of ball b? * 1 point your answer
M = mass of the ball A = 5.0 kg
m = mass of the ball B = ?
V = initial velocity of the ball A before collision = 20 m/s
v = initial velocity of the ball B before collision = 10 m/s
V' = final velocity of the ball A after collision = 10 m/s
v' = final velocity of the ball B after collision = 15 m/s
using conservation of momentum
M V + m v = M V' + m v'
(5.0) (20) + m (10) = (5.0) (10) + m (15)
100 + 10 m= 50 + 15 m
5 m = 50
m= 10 m/s
The mass of unknown ball is of 10 kg.
What is Conservation of Momentum?
The conservation of momentum says that, "When there is a collision between the two objects, then the momentum of each object before the collision is equal to the momentum of objects after the collision.
Given data:
The mass of the first ball is, m = 5.0 kg.
The speed of the first ball is, u = 20 m/s.
The speed of unknown ball is, u' = 10 m/s.
Speed of first ball after collision is, v = 10 m/s (same direction).
Speed of second ball after collision is, v' = 15 m/s (same direction).
Since each ball has the same direction, before and after the collision. So, the expression for the conservation of linear momentum is,
mu + Mu' = mv + Mv'
here,
M is the mass of unknown ball.
Solving as,
(5 × 20) + (M × 10) = (5 × 10) + (M × 15)
100 + 10M = 50 + 15M
50 = 5 M
M = 10 kg
Thus, we can conclude that the mass of unknown ball is of 10 kg.
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Match the nitrogenous base of RNA with its complement. TTACCGG TAACGCA CGCATGT TGACCTA GCCAATT ACTGGAT arrowRight GCGTACA arrowRight CGGTTAA arrowRight AATGGCC arrowRight ATTGCGT arrowRight
I took the test and this is the answer key showing I got it right..
Hope this helps!
Answer: The nitrogenous bases are complementary to each other which means the complementary bases will bind with each other. Example: Adenine will bind with Thymine and Guanine will bind to Cytosine.
Explanation:
ACTGGAT→ TGACCTA
GCGTACA→ CGCATGT
CGGTTAA→ GCCAATT
AATGGCC→ TTACCGG
ATTGCGT→ TAACGCA
This is how the nitrogenous bases are paired in DNA(deoxyribonucleic acid) which makes one individual different from other.
WILL MARK BRAINLIEST!!!!!!!!!
As the distance between an object and the center of the Earth is increased,
the object's mass decreases and its weight remains the same
both the object's mass and its weight remain the same
both the object's mass and its weight decrease
the object's mass remains the same and its weight decreases
Answer:
The objects mass remains the same and its weight decreases
Explanation:
Mass is just a measurement of how much matter something contains. Weight is proportional to the gravitational pull the object is undergoing.
As the distance between an object and the center of the Earth is increased, the object's mass remains the same and its weight decreases.
What is mass?It is the most fundamental characteristic of matter and one of the fundamental quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilograms is the SI unit of mass (kg).
A body's mass remains constant at all times. only in exceptional cases where a significant amount of energy is supplied to or taken away from a body. A nuclear reaction, for instance, results in the mass of the substance being reduced as a very small amount of matter is transformed into a very large amount of energy.
What is weight?It gauges how much gravity is pulling on a body.
The weight formula is provided by: w = mg
Weight being a force The SI unit of weight is the Newton, which is also the same as the SI unit of force (N). When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not change from one location to another, the acceleration caused by gravity does.
As the distance between an object and the center of the Earth is increased, acceleration due to gravity decreases. So the object's mass remains the same but its weight decreases.
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please help on this one
When a hypothesis is confirmed true by evidence from many experiments, it becomes widely accepted by scientists, and it gets a new name: 'Theory' .
Can someone just show me how to work this out.
For a home sound system, two small speakers are located so that one is 45cm closer the listener than the other. For what value of the fundamental frequency of audible sound will these speakers produce constructive interference at the listener? The speed of sound is 340m/sec
A.764Hz
B.500Hz
C.900Hz
D.387Hz
Δx = path difference between the waves from two speaker at the listener = difference in distance of speakers from the listener = 45 cm = 0.45 m
n = 1 (for fundamental frequency )
λ = wavelength
v = speed of sound = 340 m/s
f = frequency of the sound = ?
using the condition for constructive interference
Δx = n λ
0.45 = 1 λ
λ = 0.45 m
frequency of sound is given as
f = v/λ
f = 340/0.45
f = 756 Hz
nearest choice is 764 Hz , hence the correct choice is A. 764 Hz
____ energy is the energy an object has because of its motion. a. Kinetic b. Potential c. Chemical d. Magnetic
Kinetic energy is energy that is moving
Kinetic energy is the energy an object has because of its motion. It's different from potential energy which is stored energy based on an object's position. These energies are often interconverted in many systems.
The correct option is A.
The energy an object has due to its motion is termed as kinetic energy. It can be calculated using the equation KE = 0.5mv², where 'm' is the mass of the object and 'v' is its speed. For example, a ball thrown in a field will gain kinetic energy as it moves through the air. This energy is a form of translational motion which stands true for non-rotational motion.
This is different from potential energy, which is stored energy based upon an object's position or state. A good example is a sled poised at the top of a hill, it has gravitational potential energy because of its elevated position. These types of energy are interrelated, as in many systems potential energy is transformed into kinetic energy, and vice versa.
Hence The correct option is A.
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How does an atom of potassium-41 become a potassium ion with a +1 charge? 19 K 39.10
A. The atom gains 1 proton, to make a total of 20.
B. The atom loses 1 electron, to make a total of 18.
C. The atom gains 1 proton, to make a total of 42.
D. The atom loses 1 electron, to make a total of 21.
It is very difficult for an atom to accept a proton. It can only be done under very special circumstances. So A and C are both incorrect. I don't see how D is possible. The atom does lose 1 electron, but how it gets 21 is think air.
The answer is B which is exactly what happens.
Answer:
B. The atom loses 1 electron, to make a total of 18.
Explanation:
Since proton lies inside the nucleus of the atom so it is bounded strongly by the nuclear forces
So it is very difficult to charge an atom by transfer of protons as it need to work against nuclear forces
But electrons orbit around the nucleus in different energy state so all those electrons which are lying at the outermost orbit is loosely bound and hence it is easy to remove that electron.
Since potassium ion has atomic number 19
so for a neutral ion it has 19 electrons and 19 protons in it
now in order to make it a charge of +1
so we can remove one electron from it so that it has 19 protons and 18 electrons it so due to which it will have +1 charge on it
so correct answer will be
B. The atom loses 1 electron, to make a total of 18.
please help on this one?
Answer:
(A) Perform another experiment to test their conclusions
Explanation:
Assuming both scientists are not making logical mistakes in their reasoning, if the data set permits two reasonable but different conclusions, then there is a need to improve such a data set. An improvement could comprise adding new/more samples, increasing accuracy of the measurement, or adding new aspect to the data sampling. This is repeated until there is a reasonable consensus among the scientists.
if an object is at rest and experiences a force of 100 to the right and 50N to the left which way will the object accelerate?
im pretty sure it will go to the right side.
subtract 100 - 50
= 50
it is the right side because u have to subtract 50 - 10
Read the (above) article from the Fremont Gazette and be sure to answer all THREE QUESTIONS that follow:
a. Identify and describe TWO environmental problems associated with fracking.
b. Describe one economic benefit to society of using fracking to obtain natural gas from shale.
c. Describe which earthly sphere (or spheres) are impacted by fracking.
Answer: a. Identify and describe TWO environmental problems associated with fracking.
The two environmental problems associated with fracking are:
1. The natural gas liberated after fracking contaminates the ground water and the atmosphere. Hence, causes water and air pollution.
2.The chemicals used along with application of pressure to cause fracking will contaminate ground water.
b. Describe one economic benefit to society of using fracking to obtain natural gas from shale.
The fracking process is beneficial as it provided with natural gas from a shale. Natural gas is required to generate electrical energy and to meet transportation and household needs.
c. Describe which earthly sphere (or spheres) are impacted by fracking.
Geosphere and hydrosphere are the earth spheres which are impacted by fracking.
3) A driver in a 1000-kg car traveling at 24 m/s slams on the brakes and skids to a stop. If the coefticient of friction between the tires and the level road is 0 80 how long will the skid marks be? A) 37 m B) 30 m C) 34 m D 46 m
Answer:
A) 37 m
Explanation:
The car is moving of uniformly accelerated motion, so the distance it covers can be calculated by using the following SUVAT equation:
[tex]v^2 -u^2 = 2ad[/tex] (1)
where
v = 0 m/s is the final velocity of the car
u = 24 m/s is the initial velocity
a is the acceleration
d is the length of the skid
We need to find the acceleration first. We know that the force responsible for the (de)celeration is the force of friction, so:
[tex]F=ma=-\mu mg[/tex]
where
m = 1000 kg is the mass of the car
[tex]\mu = 0.80[/tex] is the coefficient of friction
a is the deceleration of the car
g = 9.8 m/s^2 is the acceleration due to gravity
The negative sign is due to the fact that the force of friction is against the motion of the car, so the sign of the acceleration will be negative because the car is slowing down. From this equation, we find:
[tex]a=-\mu g[/tex]
And we can substitute it into eq.(1) to find d:
[tex]v^2 -u^2 = 2(\-mu g) d\\d= \frac{v^2-u^2}{-2 \mu g}=\frac{0-(24 m/s)^2}{-2(0.80)(9.8 m/s^2)}=36.7 m \sim 37 m[/tex]
The length of skidding marks will be of 37 m. Hence, option (A) is correct.
Given data:
The mass of car is, [tex]m = 1000\;\rm kg[/tex].
The initial speed of car is, u = 24 m/s.
The final speed of car is, v=0. (Car stops finally due to friction)
The coefficient of friction between the tires road is, [tex]\mu = 0.80[/tex].
The linear force acting on the car is opposed by the frictional force. Therefore,
Linear force = frictional force
[tex]F = -f\\ma= -\mu mg\\a= -\mu g\\a = -0.8 \times 9.8\\a =-7.84 \;\rm m/s^{2}[/tex]
Now, apply the third kinematic equation of motion as,
[tex]v^{2}=u^{2}+2as\\0=24^{2}+2(-7.84)s\\s \approx 37 \;\rm m[/tex]
Thus, the length of skidding marks will be of 37 m. Hence, option (A) is correct.
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Select all that apply.
Which of the following illustrate a situation in which the magnets will attract?
sn sn
sn ns
ns ns
ns sn
The first and third choices on the list will attract, because UNlike poles are facing across the gap.
Choice #1: . . . [S]-----[N] . . . [S]-----[N]
Choice #3: . . . [N]-----[S] . . . [N]-----[S]
the first and the third chooses are the answer
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] Find the associated radius of convergence R. f(x) = cos(3x)/5
The statement about pointwise convergence follows because C is a complete metric space. If fn → f uniformly on S, then |fn(z) − fm(z)| ≤ |fn(z) − f(z)| + |f(z) − fm(z)|, hence {fn} is uniformly Cauchy. Conversely, if {fn} is uniformly Cauchy, it is pointwise Cauchy and therefore converges pointwise to a limit function f. If |fn(z)−fm(z)| ≤ ε for all n,m ≥ N and all z ∈ S, let m → ∞ to show that |fn(z)−f(z)|≤εforn≥N andallz∈S. Thusfn →f uniformlyonS.
2. This is immediate from (2.2.7).
3. We have f′(x) = (2/x3)e−1/x2 for x ̸= 0, and f′(0) = limh→0(1/h)e−1/h2 = 0. Since f(n)(x) is of the form pn(1/x)e−1/x2 for x ̸= 0, where pn is a polynomial, an induction argument shows that f(n)(0) = 0 for all n. If g is analytic on D(0,r) and g = f on (−r,r), then by (2.2.16), g(z) =