Question

A rock at the edge of a 200-m high cliff has more potential energy than an equal sized rock at the edge of a 600-m high cliff. True or False

Answer 1

It is false. The higher an object is the more potential energy they have.

Answer 2

Answer: The given statement is False.

Step-by-step explanation:

Potential energy is defined as the energy possessed due to the height of the object.

Mathematically,

`E_p=mgh`

where,

`E_p` = potential energy of the rock

m = mass of the rock

g = acceleration due to gravity =
`9.8m/s^2`

h = height of the cliff from where the rock is thrown

• When height of the cliff is 200 m

Putting values in above equation, we get:

`E_p=m* 9.8* 200m\\\\E_p=1960m`

• When height of the cliff is 600 m

Putting values in above equation, we get:

`E_p=m* 9.8* 600m\\\\E_p=5880m`

So,
`E_p(60m)>E_p(200m)`

Potential energy of the rock at 600-m high cliff is more than the potential energy of the rock at 200-m high cliff

Hence, the given statement is False.