Question

A child of weight 500 N slides down a snowy hill of height 4 m.
What is the change in the gravitational potential energy?Immersive Reader
(1 Point)

1850 J

1950 J

2000 J

1750 J

Answer 1

Answer:

sorry I don't know the answer

Answer 2

Provided that:

• Weight = 500 N
• Height = 4 m

To calculate:

• Change in the gravitational potential energy.

Solution:

• Change in the gravitational potential energy = 2000 Joules.

Using concept:

• Potential energy formula

Using formula:

• ${\small{\underline{\boxed{\pmb{\sf{E_p \: = mgh}}}}}}$

Where, E_p denotes potential energy, m denotes mass, g denotes acceleration due to gravity and h denotes height.

Knowledge required:

Weight is equal to the product of mass and acceleration due to gravity that is W = mg.

Therefore, we can write potential energy as E_p = Wh.

Required solution:

»»» E_p = mgh

»»» E_p = Wh

»»» E_p = 500 × 4

»»» E_p = 2000 J

»»» Potential energy = 2000 J

• Therefore, the change in the gravitational potential energy = 2000 Joules. Therefore, option (c) is correct.

*To solve this question we can find out the mass of the body too by converting weight into mass but the above method is much better as mg = W.

Additional information:

➜ Potential energy = The capacity of doing work developed in a body due to it's position or configuration is known as potential energy like, ⑴ energy of stretched or compressed string ⑵ energy of spring in a watch ⑶ energy of water collected at a height.

• PE of a body at the gravitational field of earth is ${\sf{mgh}}$

• PE of a body against the gravitational field of earth is ${\sf{-mgh}}$

➜ There are two type of potential energy that is elastic potential energy and gravitational potential energy.