A ball of mass 0.500 kg is carefully balanced on a shelf that is 2.70 m above the ground. What is its gravitational potential energy

Answers

Answer 1

Answer:

The gravitational potential energy of the ball is 13.23 J.

Explanation:

Given;

mass of the ball, m = 0.5 kg

height of the shelf, h = 2.7 m

The gravitational potential energy is given by;

P.E = mgh

where;

m is mass of the ball

g is acceleration due to gravity = 9.8 m/s²

h is height of the ball

Substitute the givens and solve for gravitational potential energy;

PE = (0.5 x 9.8 x 2.7)

P.E = 13.23 J

Therefore, the gravitational potential energy of the ball is 13.23 J.


Related Questions

An astronaut with mass 84kg is at rest in space, before firing her water pack to move toward the shuttle. If the amount of water shot out is
2kg and it is fired at a speed of 10m/s, what will the speed of the astronaut be?

Answers

Answer:

The astronaut is moving at a speed of 0.238 m/s in a direction opposite the direction of the water shot out.

Explanation:

We are given;

Mass of astronaut; m1 = 84 kg

Mass of water shoot out; m2 = 2 kg

Initial speed of astronaut; u1 = 0 m/s

Initial speed of water shoot out; u2 = 0 m/s

Final speed of shoot out; v2 = 10 m/s

From law of conservation of momentum, we can say that;

Initial momentum = final momentum

Thus;

m1•u1 + m2•u2 = m1•v1 + m2•v2

Where v1 is the final speed of the astronaut

Plugging in the relevant values, we get;

(84 × 0) + (2 × 0) = (84 × v1) + (2 × 10)

0 = 84v1 + 20

-20 = 84v1

v1 = -20/84

v1 = -0.238 m/s

The negative sign indicates that the astronaut is moving 0.238 m/s in a direction opposite the direction of the water shot out.

What is the approximate efficiency of the engine?
A heat engine has a temperature of 1800 K. Some of the
heat from the engine flows to the surroundings, which
are at a temperature of 160 K.
0 16%
O 91%
O 103%
O 109%

Answers

Answer:91% I think

Explanation:

The typical engine efficiency for a modern petrol combustion engine is from 20 to 30 percent. The remaining 70 to 80 percent of the heat energy of the petrol is released from the engine as friction loss, mechanical sound energy, or exhaust heat. Thus, option B is correct.

What approximate efficiency of the engine?

An engine's efficiency is measured by the heat produced divided by the amount of useful work done. Is the task complete. Is the task finished. Please be aware that the phrase “work done” refers to the force applied to the clutch or driveshaft.

Utilizing the following formula, efficiency may be represented as a ratio: output input. Output, often called work output, is the entire quantity of productive work completed, excluding waste and spoilage.

You may determine the efficiency by figuring out what proportion of the energy input results in the desired output: Efficiency is defined as Energy Out/Energy In 100%.

Therefore, This implies that the work produced by thermodynamic expansion is reduced by the friction and other losses.

Learn more about engine here:

https://brainly.com/question/13154811

#SPJ2

Find the magnitude of the vector v given its initial and terminal points. Round your answer to four decimal places.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is [tex]|v| = 6.93[/tex]

Explanation:

From the question we are told that

    The initial point is [tex](x_1 , y_1 , z_1 ) = (-1 , 7 , 4 )[/tex]

    The  terminal point is  [tex](x_2 , y_2 , z_2) = (-5 , 11, 8 )[/tex]

Generally the magnitude of the vector is mathematically represented as

     [tex]|v| = \sqrt{(x_2 -x_1 )^2 + (y_2 - y_1 )^2 + (z_2 -z_1)^2}[/tex]

=>   [tex]|v| = \sqrt{(-5 -(-1) )^2 + (11 - 7 )^2 + (8 -4)^2}[/tex]

=>   [tex]|v| = 6.93[/tex]

The earth rotates every 86,160 seconds. What is the tangential speed (in m/s) at Livermore (Latitude 37.6819° measured up from equator, Longitude 121.

Answers

Answer:

The tangential speed at Livermore is approximately 284.001 meters per second.

Explanation:

Let suppose that the Earth rotates at constant speed, the tangential speed ([tex]v[/tex]), measured in meters per second, at Livermore (37.6819º N, 121º W) is determined by the following expression:

[tex]v = \left(\frac{2\pi}{\Delta t}\right)\cdot R \cdot \sin \phi[/tex] (1)

Where:

[tex]\Delta t[/tex] - Rotation time, measured in seconds.

[tex]R[/tex] - Radius of the Earth, measured in meters.

[tex]\phi[/tex] - Latitude of the city above the Equator, measured in sexagesimal degrees.

If we know that [tex]\Delta t = 86160\,s[/tex], [tex]R = 6.371\times 10^{6}\,m[/tex] and [tex]\phi = 37.6819^{\circ}[/tex], then the tangential speed at Livermore is:

[tex]v = \left(\frac{2\pi}{86160\,s} \right)\cdot (6.371\times 10^{6}\,m)\cdot \sin 37.6819^{\circ}[/tex]

[tex]v\approx 284.001\,\frac{m}{s}[/tex]

The tangential speed at Livermore is approximately 284.001 meters per second.

What is the ratio of the radii of curvature for a proton and an an electron traveling through this apparatus

Answers

Answer:

hello your question is incomplete below is the missing part of the question

Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.55 T.

answer :   ≈ 42

Explanation:

Ratio of the Radii of curvature for a proton and an electron travelling through this apparatus

= [tex]\frac{Rp}{Re}[/tex] = 0.025 m / 5.94 * 10^-4 m = 42.08

Rp = 0.025 m ( calculated )

Re = 5.94 * 10^-4 ( calculated )

it is rate for any motion to

a. stay the same for very long
b. change quickly
c. increase in velocity
d. decrease in speed

Answers

Answer:

a. stay the same for very long

Explanation:

It is rare for any motion to stay the same for a very long time. The force applied on a body causes changes in the magnitude of motion.

For motion to remain constant, there must not be a net force acting on the body All the forces on the body must be balanced. This is very hard to come by. Motion changes very frequently.

A 500 g ball and a 200 g ball are dropped from a tower. Both balls are the same size and there is no air resistance. When do they hit the ground? The 200 g mass hits the ground first. They both hit the ground at the same time. The 500 g mass hits the ground first.

Answers

Answer:

They both hit the ground at the same time.

Explanation:

if you drop a 100 g and 200 g mass simultaneously from the same height they’ll hit the ground at the same time.

Yes, there is a role of a very simple equation of kinematics i.e.

s=ut+1/2(at^2)

so, s means the height is the same for both masses(h), u(initial velocity) is obviously zero cause you are dropping it, a (acceleration) is due to the gravity here only ‘g’.

time is taken for a particular object to hit the ground,

t= (2h/g)^1/2 .

We can see that there is no term for the mass of objects, meanwhile, the mass of the object has nothing to do with the time taken in hitting the ground in this case.

A diffraction grating with 230 lines per mm is used in an experiment to study the visible spectrum of a gas discharge tube. At what angle from the beam axis will the first order peak occur if the tube emits light with wavelength of 405.3 nm? Tries 0/20 At what angle will the second order peak occur?

Answers

Answer:

θ₁ = 5.4°

θ₂ = 10.86°

Explanation:

The angle ca be found by using grating equation:

mλ = d Sinθ

where,

m = order of diffraction

λ = wavelength = 405.3 nm = 4.053 x 10⁻⁷ m

d = grating element = 1/230 lines/mm = 0.0043 mm/line = 4.3 x 10⁻⁶ m/line

θ = angle = ?

FOR m = 1:

(1)(4.053 x 10⁻⁷ m) = (4.3 x 10⁻⁶ m/line) Sin θ₁

Sin θ₁ = 0.09425

θ₁ = Sin⁻¹(0.09425)

θ₁ = 5.4°

FOR m = 2:

(2)(4.053 x 10⁻⁷ m) = (4.3 x 10⁻⁶ m/line) Sin θ₁

Sin θ₂ = 0.1885

θ₂ = Sin⁻¹(0.1885)

θ₂ = 10.86°

Now write a short paragraph comparing "fast" to "speeding up quickly" and "slow" to "speeding up slowly".

Answers

Answer:ok yes

Explanation:yes of course

When a person wearing a helmet rides a bicycle, the helmet experiences which type of friction?
A. Fluid
B. Static
C. Sliding
D. Rolling

Answers

Answer:

B

Explanation:

Answer:

B.)Static

Hope I helped

Need help with this physics question!
A baseball is hit straight up at 60 m/s. At 9 seconds what is the displacement, the acceleration and velocity?

Answers

Answer:

Acceleration: -9.8 m/s^2

Velocity: -28.2 m/s

Displacement: 143.1 m

Explanation:

The acceleration of gravity for any object close to earth is approximately -9.8 m/s^2.

Now, to find the velocity after 9 seconds, we can use a kinematics formula, where x is the final velocity:

Final Velocity = Initial Velocity + Acceleration * Time

x = 60 + -9.8*9

x = 60 - 88.2

x = -28.2

The velocity is -28.2 m/s.

Lastly, to find the displacement, we can use another kinematics formula, where y is the displacement:

Displacement = (Final Velocity + Initial Velocity)/2 * Time

y = (-28.2 + 60)/2 * 9

y = 143.1

The displacement is 143.1 meters.

A local AM radio station broadcasts at a frequency of 627 kHz. Calculate the wavelength at which it is broadcasting. Wavelength

Answers

Answer:

Wavelength = 478.46 m

Explanation:

It is given that,

A local AM radio station broadcasts at a frequency of 627 kHz, f = 627000 Hz

We need to find the wavelength at which it is broadcasting. The wavelength is given by :

[tex]\lambda=\dfrac{c}{f}\\\\=\dfrac{3\times 10^8}{627\times 10^3}\\\\=478.46\ m[/tex]

So, the wavelength is 478.46 m.

A car is traveling at 15 m/sm/s . Part A How fast would the car need to go to double its kinetic energy

Answers

Answer:

21.21 m/s

Explanation:

Let KE₁ represent the initial kinetic energy.

Let v₁ represent the initial velocity.

Let KE₂ represent the final kinetic energy.

Let v₂ represent the final velocity.

Next, the data obtained from the question:

Initial velocity (v₁) = 15 m/s

Initial kinetic Energy (KE₁) = E

Final final energy (KE₂) = double the initial kinetic energy = 2E

Final velocity (v₂) =?

Thus, the velocity (v₂) with which the car we travel in order to double it's kinetic energy can be obtained as follow:

KE = ½mv²

NOTE: Mass (m) = constant (since we are considering the same car)

KE₁/v₁² = KE₂/v₂²

E /15² = 2E/v₂²

E/225 = 2E/v₂²

Cross multiply

E × v₂² = 225 × 2E

E × v₂² = 450E

Divide both side by E

v₂² = 450E /E

v₂² = 450

Take the square root of both side.

v₂ = √450

v₂ = 21.21 m/s

Therefore, the car will travel at 21.21 m/s in order to double it's kinetic energy.

For the car to be able to double its kinetic energy, it would need to travel at a speed of approximately 21.21m/s.

Given the data in the question;

Speed of the car; [tex]v_1 = 15m/s[/tex]

Speed for the car to double its kinetic energy; [tex]v_2 = \ ?[/tex]

Using the expression for kinetic energy:

[tex]K_E = \frac{1}{2}mv^2[/tex]

Where m is the mass and v is the velocity

Now, Initial Kinetic Energy will be;

[tex]K_E_1 = \frac{1}{2}mv_1^2 \\\\K_E_1 = \frac{1}{2}*m*(15)^2\\\\K_E_1 = \frac{1}{2}*m*225\\\\K_E_1 = 112.5*m[/tex]

For the kinetic energy to become double

[tex]K_E_2 = 2 * K_E_1\\\\\frac{1}{2}mv_2^2 = 2 * ( 112.5 * m)\\\\\frac{1}{2}mv_2^2 = 2m( 112.5)\\\\v_2^2 = 4( 112.5)\\\\v_2^2 = 450\\\\v_2 = \sqrt{450}\\\\v_2 = 21.21m/s[/tex]

Therefore, for the car to be able to double its kinetic energy, it would need to travel at a speed of approximately 21.21m/s.

Learn more: https://brainly.com/question/999862

From the 1780s to the late 1800s, people thought the amount of land and resources in the West was limited

Answers

Answer:true

Explanation:

Why would a baseball traveling at 20 m/s have more kinetic energy than a baseball traveling at 5 m/s?

Answers

Answer:

because formula of kinetic energy is K=1/2mv^2 that means more the velocity then more kinetic energy

100 POINTS + BRAINLIEST, HEART, & FIVE STAR.

In the one pully system when you move the mass from the 20 cm mark to the 15 cm mark, it moves 5 cm. How far did you pull the string.

Question 1 options:
5 cm
10 cm
15 cm
20 cm

In the two pully system if you lifted the weight from the 20 cm mark to the 15 cm mark moving 5 cm. How far did you pull the rope down?

Question 2 options:
5 cm
10 cm
15 cm
20 cm

Answers

Answer:

Question 1 the answer is 5 cm for the one pulley system, I just took the quiz

Question 2 is 10 cm

Explanation:

The rope only needs to move 5 cm for the mass to move from 15 to 20.

For the 2 pulley system the string has to move twice as far making it 10 cm. I took the quiz and got 100%

When Danny Diver who weighs 500 N steps off a diving board 10 m above the water, he hits the water with kinetic energy of

Answers

Answer:

5000 J

Explanation:

Given that,

Weight of Danny Diver, F = 500 N

He steps off a diving board 10 m above the water

We need to find the kinetic energy of the water with which it hits. Let its is K. It is given by :

E = mgh

Where g is acceleration due to gravity

[tex]E=500\ N\times 10\ m\\\\=5000\ J[/tex]

So, he hits the water with kinetic energy of 5000 J.

in the one pulley system when you move the Mass from The 20-centimeter Mark to the 15 centimeter mark it moves to my 5cm how far did you pull the string?

5 cm
10cm
15cm
20cm​

Answers

Answer:

5 cm

Explanation:

Remember that in the pulley system the rope moves the same distance in both ends of the pulley, what the pulley system does is creating a mechanical advantage which basically means that it takes less effort to pull than the actual effort it would take, so for example if you have to lift a box that is 800 N, with a pulley system and the mechanical advantage you'd have to pull with less force.

A bag of groceries has a weight of 44 Newton’s. Find it’s mass in kilograms

Answers

Answer:

It's mass would be 4.486768kg..

which of the following require that you also state direction
A. speed
B. displacement
C. acceleration
D. instantaneous speed
SCIENCE QUESTION FOR 20 POINTS

Answers

Answer:

d

Explanation:

I think the answer is D

What does BMI (Body Mass Index) attempt to measure?
O A. Target heart rate
O B. Energy levels
O C. Body fat percentage
O D. Weight

Answers

Answer: C. Body fat percentage

Explanation:

Answer:

your answer is C

Explanation:

5. A man has a weight of 100 Newtons. How much work is done if he climbs 4 meters up a ladder? Plug numbers under the equation. Solve and circle your answer. Include the proper units.

Answers

Answer:

400 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 100 × 4

We have the final answer as

400 J

Hope this helps you

A car is traveling at the bottom of a 9.00-meter-radius circular hill with a constant speed v. The moment the car is at the bottom of the hill, it is noted that a person sitting on a scale in the car reads a value off the scale that is 80% more than normally when the scale is at rest in a bathroom. With what speed is the car traveling

Answers

Answer:

Explanation:

reading of scale = reaction force of surface R

centripetal force = R - mg = m v² / R , m is mass , v is velocity and R is radius of the circular path .

R = mg + m v² / R

given ,

m v² / R = .80 mg

v² = .80 x g x R

= .8 x 9.8 x 9 = 70.56

v = 8.4 m /s

What's the value of 96,745 joules in Btus?

Answers

Answer:

The value of 96,745 joules in Btus is 91.6965673 or 91.7 Btus.

Explanation:

Btus stands for British thermal unit. It is the unit of energy. 96,745 Joules is equal to 91.7 Btus of energy.

What is Energy?

Energy is the quantitative property of an object which is transferred to an object or to a physical system, that is recognizable in the performance of the work done and in the form of heat and light generated by the object or system. Energy is a conserved quantity, according to the law of conservation of energy which states that energy can be transformed, but not created or destroyed.

A British thermal unit (Btu) is a measure of the heat content or energy of fuels or energy sources. 1 BTU is roughly equal to the amount of energy which is required to raise the temperature of one pound of water by 1 degree Fahrenheit.

1 Joule = 0.000947817 Btu

Therefore, 96,745 Joules = 91.696 or 91.7 Btus

The value of 96,745 joules in Btus is 91.6965673 or 91.7 Btus.

Learn more about Energy here:

https://brainly.com/question/1932868

#SPJ2

In a Young's double slit experiment, the separation between the slits is 1.20 × 10–4 m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

Answers

Answer:

Explanation:

separation between slit d = 1.2 x 10⁻⁴ m

distance of screed D = 3.5 m

distance of second order right fringe

= 2λD / d where λ is wavelength of light .

2λD / d  = .0375

2 x λ x 3.5 / 1.2 x 10⁻⁴ = .0375

λ = 6428 x 10⁻¹⁰ m

= 643 nm .

a sample of steam at 15 bar pressure and 400°c temperature is first expanded at a constant enthalpy to 6 bar and then expanded isentropically where the dryness fraction of the steam is 0.90. find the change of enthalpy, the pressure of isentropically expanded steam and change of entropy.

Answers

Answer:

Answer.

Explanation:

Explanation.

A film of soapy water ( n= 1.33 ) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?

Answers

Answer:

620nm

Explanation:

The most strongly reflected color will be "Orange".

According to the question,

Refractive index, n = 1.33Thickness, t = 233 nm

As we know,

→ [tex]t = \frac{\lambda}{2n}[/tex]

or,

→ [tex]\lambda = 2tn[/tex]

By putting the values, we get

      [tex]= 2\times 233\times 10^{-9}\times 1.33[/tex]

      [tex]= 620 \ nm[/tex]

Thus the above response is correct.

Learn more wavelength here:

https://brainly.com/question/19168286

In a two-dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector?

a. dividing by cosine
b. dividing by sine
c. multiplying by cosine
d. multiplying by sine

Answers

I think it’s A. Dividing by cosine

Selection
boy throws a 1.2 kg ball straight up at 12 m/s. How high does the ball go? 1 point
(Answer to two digits)

Answers

Answer:

69

Explanation:

A 0.106-A current is charging a capacitor that has square plates 4.60 cm on each side. The plate separation is 4.00 mm.
(a) Find the time rate of change of electric flux between the plates in V·m/s
(b) Find the displacement current between the plates in A

Answers

Answer:

a

 [tex]\frac{d \phi_{E}}{dt} =1.1977 *10^{10} \ V\cdot m/s[/tex]

b

 [tex]I = 0.106 \ A[/tex]

Explanation:

From the question we are told that

  The current is  [tex]I = 0.106 \ A[/tex]

   The length of one side of the square [tex]a = 4.60 \ cm = 0.046 \ m[/tex]

    The separation between the plate is  [tex]d = 4.0 mm = 0.004 \ m[/tex]

Generally electric flux is mathematically represented as

       [tex]\phi_E = \frac{Q}{\epsilon_o}[/tex]

differentiating both sides with respect to t is  

       [tex]\frac{d \phi_{E}}{dt} = \frac{1}{\epsilon_o} * \frac{d Q}{ dt}[/tex]

=>     [tex]\frac{d \phi_{E}}{dt} = \frac{1}{\epsilon_o} *I[/tex]

Here [tex]\epsilon_o[/tex] is the permitivity of free space with value  

        [tex]\epsilon _o = 8.85*10^{-12} C/(V \cdot m)[/tex]

=>   [tex]\frac{d \phi_{E}}{dt} = \frac{0.106}{8.85*10^{-12}}[/tex]

=>   [tex]\frac{d \phi_{E}}{dt} =1.1977 *10^{10} \ V\cdot m/s[/tex]

Generally the displacement current between the plates in A

    [tex]I = 8.85*10^{-12} * 1.1977 *10^{10}[/tex]

=>  [tex]I = 0.106 \ A[/tex]

 

Other Questions
7 PTS EZ!! Fun points, Create a set of instructions, for example how to mke a dvd player using epostitory wrting The answer choices are at the bottom Read this excerpt from The People Could Fly.Now it was funny. I never saw my passengers after that first girl. Because I took them on the nights when the moon was not showin, it was cloudy. And I always met them in the open or in a house with no light. So I never saw them, couldn't recognize them, and couldn't describe them. But I would say to them, "What you'say?" And they would say the password. Sounded like "Menare." Seemed the word came from the Bible somewhere, but I don't know. And they would have to say that word before I took them across.Which statement best describes the speakers viewpoint in this passage?He is amused at the password that has been chosen.He wants to help people, even if he does not know them.He wishes that he did not have to take risks to help others.He is terrified that he will get caught crossing the river. A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from the people in theater A and a 30% response rate from the people in theater B. There were 800 people in total in theaters A and B. Part A: It was estimated that an equal number of people from each theater responded to the poll. If this was the case, how many people in total would have been in theater A? Part B: In reality, 440 people were in theater A and 360 people were in theater B. What was the total response rate for the poll? Express your answer as a percentage. 2. The plant cell shown above is in which phase of mitosis?A. triptophaseB. anaphaseC. interphaseD. prophaseE. metaphase In paragraph 1, what is the effect of the sentence "Itwarn't no use to try and hide it from Him"?o A. It reveals the depth of Huck's spirituality.B. It summarizes Huck's internal conflict.OC. It portrays an instance of realistic dialect.OD. It hints that God already knows where Jim is. 1. What is development? What are the characteristics of development? Typically banks rely on other banks to lend reserves to one another. Which interest rate do they charge for these loans Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be? 15 is 1 1/2% of what number Which theorem is used here SASASAAASSASHL The quotient of 363636 and 333 is jjj.Solve for jjj. 5m + 4/5=7 solve pls give step by step A recipe calls for 2cups of sugar. How many fourths is that?(1 point)0308011O 14 Why might the author have used the metaphor "bricks of ... faith" in "Empire State Building"? I am ten million bricks of unshakable faith. -"Empire State Building," J. Patrick Lewis O to show how the building was constructed O to show the concepts of great size and strength O to describe what the bricks look like O to show how tall the building isHELP ME PLEASE Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3 PLEASE HELP! :( PLEASEEEE HELPPPPP Look at the attached images. Each image is a separate question. it given that sin(-x) = -m where x is acute angle . express sec x in terms of m What type of molecule forms the antibodies found in the human immune system?