The answer is; C
A calorie is a unit of energy used to describe the energy required to raise the temperature of one gram of water by one degree at an ambient pressure of 1 atmosphere. This SI unit has gained popularity in its use in nutrition where the energy in a particular type of food (carbohydrates, proteins, and fats) is measured in calories.
Question 1: Which of the following graphs is traveling at a constant speed?
Graph E
Graph F
Graph G
Graph H
Question 2: Which line represents the constant acceleration?
A, B, and D
A only
C only
B and D only
Question 3: The following displacement graph was created from a toy cart's travel around a small track connected to a computer for data graphing.
Which statement below is true based on the graph?
Line segment AB is showing the cart travelling at 10 m/s.
Line segment BC is showing acceleration as the cart is increasing its speed.
Line segment DE is showing the cart is travelling at a constant rate.
Line segment CD is showing acceleration as the line has a straight increasing slope.
Question 4: Study the two graphs. Use your knowledge of speed and velocity to determine if they are representing the motion of the same object and why.
No, the speed graph shows an object (1) at a steady speed, (2) slowing down, (3) stopping and rolling back. The velocity graph shows the object (1) speed up (2) slow down, and (3) stop completely.
Yes, the object moves (1) at a steady rate (2) speeds up (3) stops and then rolls back, slowing down.
Yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.
No, the speed graph shows an object (1) speeding up and then (2) slowing down. The velocity graph shows the object in (1) constant motion and then (2)stopping.
(Graphs are uploaded in order of the questions)
1. Graph G shows constant speed.
2. C is constant speed and A is deceleration. So the answer is B and D only.
3. AB distance is same so car is not traveling. CD car is at constant speed. DE car is decelerating. So the answer is Line segment BC is showing acceleration as the cart is increasing its speed.
4. Yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.
(1) At constant speed, the change in distance per time is constant, Graphs G represents constant speed
(2) graph B and D represents constant acceleration.
(3) The increase in speed over time indicates acceleration as the line has a straight increasing slope.
(4) yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.
(1)
At constant speed, the change in distance per time is constant.
Graphs G represents constant speed
(2)
Constant acceleration occurs when the change in velocity is uniform over equal time interval.
graph A represents constant deceleration
graph B and D represents constant acceleration
(3)
The line segment CD represents increase in speed over time. The increase in speed over time indicates acceleration as the line has a straight increasing slope.
(4)
From the fourth graph, the object started at constant rate, slows down, stops and finally speeds up.
Thus, we can conclude that, yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.
Learn more here:https://brainly.com/question/24874645
In the picture above, is the scale measuring mass or weight? Explain.
OPEN ATTACHMENT FOR PICTURE*
The scale measures weight because it shows the object's force due to gravity, which varies between Earth (100) and the Moon (16.6).
The scale depicted in the picture is measuring weight not mass. Weight is the force exerted on an object due to gravity. It depends on both the mass of the object and the strength of the gravitational field it's in. In this case, the object is being weighed both on Earth and the Moon, two celestial bodies with different gravitational strengths.
On Earth, the object registers a weight of 100 units, reflecting the gravitational pull of Earth's stronger gravity. On the Moon, the object's weight is significantly less, measuring 16.6 units. This variation demonstrates that weight changes depending on the local gravitational field, while an object's mass remains constant regardless of its location.
To know more about gravity:
brainly.com/question/35699425
#SPJ3
Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm ?
Name two energy transformations that occur as Adeline pedals her bicycle up a steep hill and then coasts down the other side.
Potential energy is first transformed into kinetic energy as she pedals, then gravitational as she coasts down the hill.
Question
Name two energy transformations that occur as Adeline pedals her bicycle up a steep hill and then coasts down the other side.
Answer
Potential energy is first transformed into kinetic energy as she pedals, then gravitational as she coasts down the hill.
So it starts as potential engry sence they are staying still but then been they strt moveing by pedleing upnthe hill it turns/or changes in kentic energy sence we are gping up the when i go bake down i don't use as much force or have to push because the gravity is pulling me down thats when it turns into gravitational energy.
Hope this helps :)
Which one of the following letters is used as an abbreviation for electric current? A. A B. E C. C D. R
The letter most often used to represent electric current is ' I ' or ' i '.
The unit of electrical current is the Ampere, often abbreviated as ' A. ' .
An astronaut on a spacewalk accidentally drops a tool, and it floats away.Which of the following objects is exerting a gravitational force on the floating tool? Choose all that apply
the astronaut
the Moon
the Earth
the Sun
Gravitational force is given as
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]
so here gravitational force will be given by above formula where the force between two objects depends on the mass of two objects and distance between them.
Now here since the tool is at finite distance from Astronaut and Moon, Sun, Earth
So all the above will exert gravitational force on the tool but the magnitude of force will be different as all of the above are of different masses and situated at different distance.
So all options are correct here
The Astronaut
The Moon
The Sun
The Earth
Answer:
All of them are correct
Explanation:
They are all correct select all
Mechanical (sound) waves to Earth from satellites. How is this possible? aves are unable to travel through a vacuum, such as through space, but radio waves are transmitted
Sound waves are not able to travel in a vacuum, sound requires a medium such as air or a solid for example. Satellites are indeed in space, but radio waves are not sound waves they are a form of light. Light can travel in a vacuum so the messages that satellites beam back to Earth are light waves not sound waves, that is why it is possible.
Answer:
Waves that move through matter only are called
mechanical
waves. Waves that move through space are called
electromagnetic
waves.
Explanation:
Why does the background radiation in the universe have a temperature of 3ºC above absolute zero?
I know it's a result of the Big Bang, but why is it specifically 3ºC? Wouldn't the Universe cool down if it was expanding?
The background radiation is associated with a temperature of about 2.73 Kelvins (not Celsius). There is no particular reason for it to be at this specific value. This temperature is a snapshot of an ongoing process taken at our point in time. This temperature continues to change from where it used to be - many orders of magnitude higher in the early stages of our universe model - to today's measured value. The expanding universe view implies this temperature continues to decline as the universe expands, as you pointed out. It is just happening on an extremely slow time scale that we consider this value to be a constant.
The Cosmic Microwave Background (CMB) has a temperature of 2.7K due to the cooling of the universe as it expanded since the Big Bang. Initially hot and dense, the universe became transparent around 380,000 years after the Big Bang, allowing this radiation to travel through space. The CMB is a key piece of evidence for the Big Bang theory.
Cosmic microwave background (CMB)
The reason the background radiation in the universe has a temperature of about 2.7K, which is roughly 3ºC above absolute zero, is deeply connected to the events following the Big Bang. Cosmic Microwave Background (CMB) radiation is the afterglow of the Big Bang, produced when the universe was still young, hot, and dense. Over the last 13.8 billion years, as the universe expanded, this radiation cooled down.
Initially, the universe was opaque because photons were constantly colliding with electrons. However, about 380,000 years after the Big Bang, the temperature dropped to approximately 3000K, allowing electrons to combine with protons to form neutral hydrogen atoms, making the universe transparent to radiation. This period is called the recombination era. The CMB we observe today is the residual electromagnetic radiation from this era.
The universe has expanded significantly since then, stretching the wavelengths of these photons and decreasing their energy, which has cooled the radiation to its current temperature of about 2.7K. This cooling is expected in an expanding universe, as predicted by the Big Bang theory. Thus, the observed temperature of the CMB provides strong evidence supporting the Big Bang theory.
All living things are made up of cells. Some organisms, such as bacteria, exist only as single-celled organisms. Others, consist of countless cells all working together to form a single living being. Humans are comprised of trillions of cells that are organized into tissues such as muscle and skin or organs like the liver and lungs. Every organic life form starts from a single cell. Cells form a tissue, tissues form an organ and organs form the human body. These cell divisions by which a single cell divides a hundred trillion times is a process called growth. It is a unique and very complex process that happens in the body. A normal cell follows a uniform life cycle and reproduction. The abnormal (mutant) cells are cancer cells. Cancer cells happens when a certain cell (DNA) gets a different signal that causes mutation. When a cell senses a mistake, the system eliminates (self destructs) itself from the body, however, there are some instances that a cell’s mutation is left undetected. These cells reproduce and grow in a manner that is not even or regular in pattern or movement; hence, the growth of the cancers cells. Cancer cells vary from normal cells. They have different characteristics that allowed researchers to understand cell mutation extensively.
All normal cells carry characteristics that are essential to perform a normal bodily function. These cells differ in shape and size but they are uniformed depending on what type of cells they are. All human cells are eukaryotic (any organism having as it fundamental structural unit a cell type that contains specialized organelles in the cytoplasm, a membrane-bound nucleus enclosing genetic material organized into chromosomes, and an elaborate system of division by mitosis or meiosis, characteristic of all life forms except bacteria, blue-green algae, and other primitive microorganisms) because they contain a true nucleus that can hold genetic information, like DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). These genes are responsible for all cellular activities and functioning. Healthy cells divide in an orderly manner to produce more cells only when the body needs them. They follow the lifecycle which includes mitosis (the usual method of cell division, characterized typically by the resolving of the chromatin of the nucleus into a threadlike form, which condenses into chromosomes, each of which separates longitudinally into two parts, one part of each chromosome being retained in each of two new cells resulting from the original cell), meiosis (part of the process of gamete formation, consisting of chromosome conjugation and two cell divisions, in the course of which the diploid chromosome number becomes reduced to the haploid), and apoptosis ( the death of a cell).
Is this like a helping thing. If it is thanks so much. I appreciate your time and work. Is this a question?
Select all of the energy types present in the circuit system when the switch is set to "Off."
A. light energy
B. heat energy
C. sound energy
D. electrical energy
E. chemical energy
F. magnetic energy
Question
Select all of the energy types present in the circuit system when the switch is set to "Off."
A. light energy
B. heat energy
C. sound energy
D. electrical energy
E. chemical energy
F. magnetic energy
I have 1 Answer D
Final answer:
In a circuit system when the switch is set to 'Off,' the energy types present are electrical energy (D), chemical energy (E), and magnetic energy (F).
Explanation:
When the switch is set to 'Off' in a circuit system, the energy types present are:
Electrical energy: Even though the switch is off, there is still potential electrical energy in the circuit waiting to be used.Chemical energy: If there are batteries or any other chemical power sources in the circuit, there is still chemical energy stored in them.Magnetic energy: Some components in the circuit, such as inductors, can store magnetic potential energy even when the switch is off.Astronaut Mark Kelly and his crew traveled to the International Space Station in the space shuttle. The shuttle burned off all remaining fuel before entering Earth's atmosphere. When the shuttle returned to Earth it landed at a speed of approximately 354 km/hr or 220 mi/hr, about 20 times the landing speed of a commercial aircraft. What accounts for the shuttle's speed upon landing?
A couple of things, if the shuttle burned all of it's fuel before entering Earth's atmosphere then that means that the shuttle was accelerating towards Earth until it ran out of fuel. At that point, there is little to no air resistance (friction) by the lack of an atmosphere so it keeps accelerating due to Earth's gravitational force. The closer the shuttle gets to Earth the stronger the gravitational pull the shuttle experiences. Note that, once the shuttle reaches Earth's atmosphere it will cause significant amount of friction and thus will cause the shuttle to slow down.
A) Earth's atmosphere
B) initial thrust of take-off
C) angle of approach upon landing
D) gravitational potential energy
It would be D. Gravitational potential energy As the shuttle prepares to return to Earth it reduces its speed so that gravity pulls it out of its orbit and toward Earth. As it approaches the earth the gravitational potential energy is converted to kinetic energy. The drag of Earth's atmosphere slows the shuttle's descent and causes some kinetic energy to convert to heat energy.
What role did gravity play in the formation of the planets?
A.
The gravitational forces inside small asteroids pushed outward, causing the asteroids to swell to the size of planets.
B.
Planet-sized bodies passing by the solar system were pulled in by Earth's gravity and fell into orbit around the Sun.
C.
The gravity of the Sun was too weak to hold it together, and large pieces of the Sun broke off to form the planets.
D.
Gravitational forces brought together several moon-sized bodies, called planetesimals, to form larger bodies that became planets.
The planets gravitational force brought together several moon-sized bodies, called planetesimals, to form larger bodies that became planets.
The force of gravity is directly proportional the mass of an object.
F = mg
where;
g is acceleration due to gravity
m is the mass of the object
The force of gravity on objects increases with increase in the mass of the object. The effect of gravitational pull increases with increase in the mass of object.
During the formation of the planets, as smaller masses are brought together, with time the masses become bigger due to strong effect of gravity.
Thus, the planets gravitational force brought together several moon-sized bodies, called planetesimals, to form larger bodies that became planets.
Learn more about effect of gravity of formation planets here: https://brainly.com/question/10791466
The law of reflection states that if the angle of incidence is 78 degrees, the angle of reflection is ___ degrees.
the correct answer is Equal in measure because The law of reflection states that the incident ray, the reflected ray, and the normal to the surface of the mirror all lie in the same plane.
When all the forces on an object are equal and opposite, & the net force is zero, that's..
unbalanced forces.
reaction forces.
terminal velocity.
balanced forces.
That would be a balanced force because the forces cancel each other out.
When the forces acting on an object are equal and opposite, leading to a net force of zero, this is called balanced forces. An object under balanced forces will maintain its current state of motion, according to Newton's First Law of Motion.
Explanation:When all the forces acting on an object are equal and opposite, this condition is described as balanced forces
In a scenario with balanced forces, the net force acting on the object is zero, meaning that the object will not change its state of motion - it will either remain at rest, or continue moving at a constant speed in a straight line. This is due to Newton's First Law of Motion, also known as the Law of Inertia.
For example, if you're pulling a sled with a force of 50 Newtons to the right, and a friend is pulling with a force of 50 Newtons to the left, the total or net force on the sled is zero. These are balanced forces, and the sled will not move from its spot.
Learn more about Balanced Forces here:https://brainly.com/question/29268601
#SPJ3
A point P is placed exactly between two charges, Q1 and Q2. If the electric field experienced by point P due to charge Q1 is 1.5 × 105 newtons/coulomb and the field due to charge Q2 is 7.2 × 105 newtons/coulomb, what is the net electric field at point P?
A.
1.5 × 105 newtons/coulomb
B.
3.0 × 105 newtons/coulomb
C.
5.7 × 105 newtons/coulomb
D.
8.7 × 105 newtons/coulomb
E.
9.0 × 105 newtons/coulomb
Answer: D
Given data:
The electric field due to charge q₁ is (E₁) = 1.5 × 10⁵ N/C
The electric field due to charge q₂ is (E₂) = 7.2 × 10⁵ N/C
Determine the net electric field at point P (Enet) = ?
electric field measured in Newtons/coulomb
We know that,
The net electric field (Enet) is vector sum of E₁ and E₂ caused by the charge q₁ and q₂ respectively
Enet = E₁ + E₂
= (1.5 × 10⁵)+ (7.2 × 10⁵)
= 8.7 × 10⁵ Newtons/coulomb
The net electric field at point P is 8.7 × 10⁵ N/C
Answer:
D. 8.7 × 105 newtons/coulomb
Explanation:
A wrench is used to tighten a spark plug. If the wrench handle is 0.20m and a force of 20N is applied, what is the torque applied?
A) 0.01 Nm
B) 0.4 Nm
C) 4 Nm
D) 10 Nm
Torque [Nm] = Force [N] x Force arm [m]
C=F*b=20*0.20=4 Nm
The correct answer is C
which describes how transuranium elements are made in a lab?
A) by the transuranium of protons to electrons in a stable element
B) by the artificial transuranium of carbon compounds
C) by the artificial transurianium of lighter elements
Final answer:
Transuranium elements are created by bombarding target nuclei with particles like neutrons, resulting in new, heavier elements not found in nature.
Explanation:
Transuranium elements are made in a lab by the artificial transmutation of lighter elements. This process involves bombarding target nuclei with particles, such as neutrons or other atomic nuclei. During the bombardment, the target nuclei capture the incoming particles, which leads to the formation of a heavier element that did not previously exist naturally.
For example, the first transuranium element, neptunium (Z = 93), was synthesized by bombarding uranium-238 with neutrons. This creates uranium-239, which undergoes beta decay to form neptunium-239. Similar methods are used to create other transuranium elements, with the most advanced involving collisions with more massive nuclei to create superheavy elements like element 114 and element 116.
A frame hanging on a wall is held by two cables. The tension in each cable is 30 N, and the cables make an angle of 45° with the horizontal, as shown in the picture. What is the weight of the frame?
A) 10.2 N
B) 21.2 N
C) 32.4 N
D) 42.4 N
Answer:
(D) 42.4N
Explanation:
Since the frame is at rest, the net force acting on it must be 0. There are three forces acting on it: the gravity and the opposing forces of the two cables.
Since the gravity is a vertical force, we are only interested in the vertical components of the remaining forces. The net force equation is
F_net = 0 = F_g -2 * F_y
The vertical force of one cable (using the information in the drawing) is:
F_y = 30N * sin 45 deg = 21.21N
Now the weight can be determined:
0 = F_g - 2 * F_y
F_g= 2 * F_y = 2 * 21.21N = 42.4N
The weight of the frame is about 42.4N.
Vector:T₁+T₂+F=0 , you put the vectors where you need, on the site I'm not going to put them
We design the relationship on the vertical axis Oy:
T₁sinα+T₂sinα=0
T₁=T₂=>2Tsinα=0
We design the relationship on the horizontal axis Ox :
2Tcosα-F=0=>F=2Tcosα=2*30*√2/2=30√2=42.4 N
The right answer is D
An archer puts a 0.300kg arrow into a bow and draws the bowstring back. She exerts an average force of 201N to draw the bow string back 1.30m
a. Assuming no frictional loss with what speed does the arrow leave the bow?
b. How high will it rise if the arrow is shot straight up?
(I really need help.. I'm doing module work at my school by myself and I was told to go ask my science instructor but she refuses to give me simple help while and guidance while if i ever get stuck on a problem. PS. She's just sitting at her desk eating chips and watching netflix on her computer while the class she has is working. so the help would really be appreciated!)
Well sorry to hear about your potato head Netflix watching "teacher". But here we go! For part (a) we have:
(a)
m=0.3kg, F=201 N, [tex]\Delta x=-1.30[/tex] this is negative because our if we think of an undrawn bow as a zero, pulling it back 1.30 meters means -1.30 meters. First we will solve for the acceleration by using F=ma and so:
[tex]F=ma\\\\a=\frac{F}{m}=\frac{201N}{0.3kg}=670m/s^2[/tex]
Next we will use the following kinematic equation to solve for our initial velocity, note that our final velocity is zero since eventually it will stop and so:
[tex]v_{final}^2=v_{initial}^2+2ad[/tex]
where a is acceleration, and d is distance our bow was drawn and so:
[tex]0=v_{initial}^2+2(670)(-1.30)\\\\1742=v_{initial}^2\\\\\sqrt{1741}=v_{initial}\\41.74m/s=v_{initial}[/tex]
So the arrow leaves the bow at approximately 41.74 m/s (that's about 91.71 miles per hour ouch).
(a) Initial velocity = 41.74 m/s
(b)
Next If the arrow is shot an arrow straight up we have to worry about gravity (g = -9.8 m/s^2) "pushing" the arrow down as your arrow goes up higher and higher (ignoring air resistance) we have:
[tex]v_{final}=v_{initial}+at\\\\[/tex]
Note that the final velocity in this system is zero, at that point the arrow will come right down since it has no more velocity upwards therefore we have:
[tex]0=41.74+(-9.8)t[/tex]
[tex]0-41.74=41.74-41.74+(-9.8)t\\\\-41.74=-9.8t\\\\[/tex]
[tex]\frac{-41.74}{-9.8}=\frac{-9.8t}{-9.8} \\\\4.26=t[/tex]
Therefore it will take 4.26 seconds for the arrow to stop and return back down, meaning that the arrow will reach it's max height at that time. Finally we can figure out what that height is by using another kinematic equation:
[tex]h=v_{initial}t+\frac{1}{2}gt^2[/tex]
Where g=-9.8, initial velocity=41.74 m/s and t=4.26 seconds and so:
[tex]h=(41.74)(4.26)+\frac{1}{2}(-9.8)(4.26)^2\\\\h=88.89m[/tex]
So the arrow will reach a max height of 88.89 meters (about 292 ft).
(b) 88.89 meters
Ten seconds after starting from rest a freely falling object will have a speed of about
A)10m/s
B)50m/s
C)100m/s
D)more than 500m/s
A freely falling object gains about 10 m/s each second due to the acceleration of gravity. After 10 seconds, its speed would be 100 m/s, making the correct answer C) 100 m/s.
The given question specifically motion under gravity without considering air resistance.
When an object is freely falling under the influence of gravity, its velocity increases by about 9.8 m/s (approximately 10 m/s for simplification) each second, which is the acceleration due to gravity (g).
In the context of this question, after 10 seconds of free fall starting from rest, the object's speed would be -
= 10 m/s x 10 seconds
= 100 m/s.
Therefore, the correct answer is C) 100 m/s.
A frame hanging on a wall is held by two cables. The tension in each cable is 30 N, and the cables make an angle of 45° with the horizontal, as shown in the picture. What is the weight of the frame?
A) 10.2 N
B) 21.2 N
C) 32.4 N
D) 42.4 N
Answer: option D) 42.4 N
The weight of the frame is balanced by the vertical component of tension.
W = T sin θ + T sin θ = 2 T sin θ
The tension in each cable is T = 30 N
Angle made by the cables with the horizontal, θ = 45°
⇒ W = 2×30 N × sin 45° = 2 × 30 N × 0.707 = 42.4 N
Hence, the weight of the frame is 42.4 N. Correct option is D.
if y gets smaller as x gets bigger and y have an ---------- relationship?
Final answer:
In mathematics, when y decreases as x increases, they have an inverse relationship, which is a type of negative correlation where variables move in opposite directions.
Explanation:
If y gets smaller as x gets bigger, y and x have an inverse relationship. In an inverse relationship, when one variable increases, the other variable decreases. An example of this is the equation y = k/x, where k is a constant number. This illustrates that as x gets larger, y gets smaller, assuming k is a positive value. Conversely, as x becomes smaller, y becomes larger, which is often described as y being inversely proportional to x. An inverse relationship is a specific type of negative correlation where the two variables move in opposite directions.
It should not be confused with a positive correlation, where both variables change in the same direction, either both increasing or both decreasing. A positive value of r, the correlation coefficient, indicates a positive correlation, signifying that as x increases, y also tends to increase. Conversely, a negative value of r would suggest an inverse relationship.
An important aspect to consider is the rate of change in non-linear relationships, where the size of the change in x affects the measured change in y. This is different from linear relationships, where equal increments in x result in consistent changes in y. Therefore, for inverse relationships, large changes in x can result in rapidly diminishing values of y as x propagates towards infinity.
A substance has a mass of 360 g and a volume of 7.5 cm3. What is its density? a. 2700 g/cm3 c. 480 g/cm3 b. 270 g/cm3 d. 48 g/cm3 Please select the best answer from the choices provided A B C D
Density can be calculated by:
[tex]D=\frac{M}{V}[/tex]
where D is the density, M is the mass, and V is the volume. In this case we have m = 360g, V=7.5 cm^3 by plugging in these values we have:
[tex]D=\frac{360g}{7.5cm^3} =48\frac{g}{cm^3}[/tex]
C.) 480 g/cm^3
Pro-tip: Look at the units, they sometimes tell you what to do. In this case all of your answers have grams over cm^3 this means grams divided by cm^3. Even if you do not know the equation you can infer what it is by knowing what units you have vs. what units you should end up with.
The density of a substance is found by dividing its mass by its volume. For a substance with a mass of 360 g and a volume of 7.5 cm3, the density is 48 g/cm3. So, the correct answer is (d) 48 g/cm3.
Explanation:The density of a substance is calculated by dividing its mass by its volume. In this case, the substance has a mass of 360 g and a volume of 7.5 cm3. Therefore, the density would be calculated as follows: Density = Mass/volume = 360 g / 7.5 cm3 = 48 g/cm3. So, the correct answer from the provided multiple choices would be option (d) 48 g/cm3
Learn more about Density here:https://brainly.com/question/34199020
#SPJ2
A spring has a spring constant of 100 N/m, and the mass hanging from is is 0.71 kg. What is the period of the spring's motion?
answers are in metres per second:
A) 1
B) 0.031
C) 0.44
D) 0.53
k = spring constant of the spring = 100 N/m
m = mass hanging from the spring = 0.71 kg
T = Time period of the spring's motion = ?
Time period of the oscillations of the mass hanging is given as
T = (2π) √(m/k)
inserting the values in the above equation
T = (2 x 3.14) √(0.71 kg/100 N/m)
T = (6.28) √(0.0071 sec²)
T = (6.28) (0.084) sec
T = 0.53 sec
hence the correct choice is D) 0.53
a balloon is expanded to the same volume as that of a human head. Do an order-of-magnitude estimate of the volume of this balloon in cm^3
a. 100cm^3
b. 1,000,000cm^3
c. 10cm^3
d. 1,000cm^3
Answer:
Volume of balloon = 1000 cm^3
Explanation:
The head of a normal person can be assumed as a sphere with radius 10 cm.
Volume of sphere [tex]=\frac{4}{3} \pi r^3[/tex], where r is the radius.
We have approximate radius = 10 cm.
Approximate volume of head [tex]=\frac{4}{3} \pi r^3=\frac{4}{3} *\pi* 10^3=4188cm^3[/tex]
In the given options the closest value to the approximate volume is 1000 cm^3.
So, volume of head = Volume of balloon = 1000 cm^3
The table shows dimensions of four wheel and axles.
Which shows the order of mechanical advantage from least to greatest?
A- Y, X, W, Z
B- Z, W, X, Y
C- Z, X, W, Y
D- Y, Z, W, X
Answe is b
Mechanical advantage is given by formula
[tex]MA = \frac{F_{out}}{F_{in}}[/tex]
here we know that for torque balance in pulley system we have
[tex]F_{out}\times r_1 = F_{in}\times r_2[/tex]
[tex]MA = \frac{r_2}{r_1}[/tex]
for W
[tex]MA = \frac{12}{4} = 3[/tex]
for X
[tex]MA = \frac{36}{9} = 4[/tex]
For Y
[tex]MA = \frac{18}{3} = 6[/tex]
For Z
[tex]MA = \frac{16}{8} = 2[/tex]
so least to greatest order will be
Z < W < X < Y
so correct answer is
B- Z, W, X, Y
Answer:
b
Explanation:
The power is an electrical circuit is given by the equation P = i^2R, where I is the current flowing through the circuit and R is the resistance of the circuit. What is the power in a circuit that has a current of 0.1 amps and a resistance of 18 ohms?
A. 1.8 watts
B. 0.1 watts
C. 180 watts
D. 0.18 watts
Formula
Power = I^2 * R
Givens
R = 18 ohms
I = 0.1 amperes.
Solution
P = 0.1^2 * 18
P = 0.01 * 18
P = 0.18 watts.
D <<<< Answer
P=RI²=18*0,1²=18*0,01=0,18 W
Two plumbers are working at a site. The first tries to unscrew a pipe with a wrench and cannot budge it. The second one is twice as strong as the first one. He also has a wrench that is twice as long. How much more torque can the second plumber exert compared to the first?
Answer: The second plumber can exert 4 times more torque than the first one.
Explanation:
Torque is the cross product of force which causes rotation and the distance from the axis of rotation at which the force is applied.
τ = F × r
For the first plumber,
τ₁ = F₁ × r₁
For the second plumber,
τ₂ = F₂ × r₂ = 2 F₁ × 2 r₁ = 4 F₁ × r₁ = 4 τ₁ (∵ second plumber is twice as strong as first and second wrench is twice the length of first)
⇒τ₂ = 4 τ₁
Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm ?
To find the potential difference necessary to achieve a 0.57 nm wavelength for an electron, use the de Broglie wavelength equation in conjunction with the relationship between kinetic energy and voltage, leading to a calculation involving Planck's constant, electron charge, and mass.
Explanation:To determine through how many volts of potential difference an electron must be accelerated to achieve a wavelength of 0.57 nm, we utilize the de Broglie wavelength formula and the relationship between kinetic energy and voltage. The de Broglie equation is λ = h / p, where λ is the wavelength, h is Planck's constant (6.62607015 × 10⁻³⁴ m²kg/s), and p is the momentum of the electron. The momentum can be related to kinetic energy (½mv2) which can further be equated to the electric potential energy (eV, where e is the charge of an electron and V is the potential difference). Considering the charge of an electron (1.6 x 10⁻¹⁹ Coulombs) and rearranging the de Broglie equation to solve for V, we find:
V = (h2) / (2eλ2m)
Inserting Planck's constant, the electron charge, the given wavelength (0.57 nm or 0.57 x 10⁻⁹ m), and the mass of an electron (9.10938356 x 10⁻³¹ kg), we can solve for V.
This calculation reveals the potential difference required to accelerate an electron to a wavelength of 0.57 nm. Due to the complexity of the squares and the very small numbers involved, calculators or computational tools are recommended for an accurate result. This process illustrates the connection between quantum mechanics (as shown through de Broglie's equation) and classical physics (electric potential energy).
To determine the potential difference required to accelerate an electron to a wavelength of 0.57 nm, one must use the de Broglie wavelength formula and the kinetic energy equation associated with an electron's acceleration through a potential difference, involving algebraic manipulation and substitution of known constants.
The question asks: Through how many volts of potential difference must an electron be accelerated to achieve a wavelength of 0.57 nm? To find this, we can use the de Broglie wavelength formula, which relates the momentum of a particle to its wavelength, and connect it with the kinetic energy gained from acceleration through a potential difference.
First, the de Broglie wavelength equation is given by λ = h / p, where λ is the wavelength, h is Planck's constant (6.626 x 10-34 m2kg/s), and p is the momentum of the electron. To find the potential difference, we'll connect this with the kinetic energy an electron gains when accelerated through a potential difference V, which is given by the equation KE = qV, where q is the charge of an electron (1.6 x 10-19 C) and V is the potential difference in volts.
The momentum p can also be expressed in terms of kinetic energy KE, resulting in p = √(2mKE), where m is the mass of an electron (9.109 x 10-31 kg). Substituting the expression for KE based on the potential difference gives us a way to relate the potential difference directly to the desired wavelength.
After applying these equations and manipulating them to solve for V, the required potential difference to achieve a 0.57 nm wavelength can be numerically calculated.
What is the primary energy transformation that occurs when a match is lit? A. Electrical energy is transformed into heat and light. B. Chemical energy is transformed into heat and light. C. Chemical energy is transformed into electrical energy. D. Heat and light are transformed into chemical energy.
B. chemical energy is transformed into heat and light
Final answer:
The correct answer is (B) "Chemical energy is transformed into heat and light". The primary energy transformation when a match is lit is the conversion of chemical energy into heat and light, an exothermic reaction during combustion.
Explanation:
When a match is lit, the primary energy transformation that occurs is the conversion of chemical energy to both heat and light. This chemical energy is stored in the molecules of the match head's substances. Upon ignition, these chemicals react with oxygen in a process known as combustion, during which the stored chemical energy is released as thermal energy (heat) and electromagnetic energy (light).
Therefore, the correct answer to the question is B. Chemical energy is transformed into heat and light. This transformation is an example of an exothermic reaction where the energy stored in the chemical bonds is released to the surroundings when those bonds are broken and new ones are formed.