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
It is false. The higher an object is the more potential energy they have.
Answer: The given statement is False.
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
Putting values in above equation, we get:
\(E_p=m\times 9.8\times 200m\\\\E_p=1960m\)
Putting values in above equation, we get:
\(E_p=m\times 9.8\times 600m\\\\E_p=5880m\)
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.