Gravitational potential energy increase

In summary, a person weighing 6.0 × 102 Newtons rides an elevator upward for 5.0 seconds with an average speed of 3.0 meters per second. The gravitational potential energy of the person increases as a result of this ride, with the potential energy equation U = mgh being used to solve for the displacement.
  • #1
majormuss
124
4

Homework Statement



A person weighing 6.0 × 102 Newtons rides an
elevator upward at an average speed of 3.0 meters
per second for 5.0 seconds. How much does this
person’s gravitational potential energy increase
as a result of this ride?
(1) 3.6 × 102 J (3) 3.0 × 103 J
(2) 1.8 × 103 J (4) 9.0 × 103 J

Homework Equations




PE=mgh, KE=1/2mx^2

The Attempt at a Solution


I tried solving the question this way but it seems am wrong... mgh=1/2mx^2 and I arrived at number '3'. Need help!
 
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  • #2
U = mgh ... that is about all you'll need (you know m and g, you just need to solve for the displacement).
 
  • #3
Gear300 said:
U = mgh ... that is about all you'll need (you know m and g, you just need to solve for the displacement).

wat is U?
 
  • #4
wat is U?
 
  • #5
majormuss said:
wat is U?
Potential Energy=mass*g*height

majormuss said:
I tried solving the question this way but it seems am wrong... mgh=1/2mx^2 and I arrived at number '3'. Need help!

Your approach can't be used in this type of problem. If you wanted to find the speed of a car at the bottom of a hill, you can set the two equations equal to each other (PE for the top, KE, for the bottom).

A person weighing 6.0 × 102 Newtons rides an
elevator upward at an average speed of 3.0 meters
per second
for 5.0 seconds.

Try finding the three parts of the equation Gear300 posted...you just need to solve for height (or displacement).
 
  • #6
thanx a bunch, just realized my blunder...
 

FAQ: Gravitational potential energy increase

What is gravitational potential energy increase?

Gravitational potential energy increase is the increase in the potential energy of an object due to its position in a gravitational field. It is the energy that an object possesses because of its height above the ground or its distance from a massive body, such as the Earth.

How is gravitational potential energy increase calculated?

Gravitational potential energy increase is calculated using the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object. This formula assumes a constant gravitational field and neglects any other forms of energy.

What factors affect gravitational potential energy increase?

Gravitational potential energy increase is affected by two main factors: mass and height. The greater the mass of an object, the greater its potential energy. Similarly, the higher an object is positioned above the ground or a massive body, the greater its potential energy.

What is the relationship between gravitational potential energy increase and kinetic energy?

Gravitational potential energy increase and kinetic energy are two forms of mechanical energy and are interrelated. As an object falls and gains speed, it loses potential energy and gains kinetic energy. At the bottom of its fall, all of its potential energy has been converted into kinetic energy.

How is gravitational potential energy increase used in real-life applications?

Gravitational potential energy increase has many practical applications, such as in hydroelectric power plants, where water is stored at a higher altitude and then released to turn turbines and generate electricity. It is also used in roller coasters, where the potential energy of the carts at the top of a hill is converted into kinetic energy as they go down the track.

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