Question

A person has done $5000J$in climbing a tree of height $5m$. What will be the mass of the person?

Answer 1

Hint: As we all know, a man climbing a tree will be possessing the potential energy. The potential energy can be found by taking the product of the mass, acceleration due to gravity and the height up to which he climbs up. Substitute the values in the equation and rearrange this equation. This will help you in answering this question.

Complete step by step answer:
As we all know, a man climbing a tree will be possessing the potential energy. The potential energy can be found by taking the product of the mass, acceleration due to gravity and the height up to which he climbs up. This equation can be written as,
$U=mgh$
It has been already mentioned in the question that,
The height of the tree up to which the person climbed can be written as,
$h=5m$
The potential energy of the person will be written as,
$U=5000J$
The acceleration due to gravity can be shown as,
$g=10m{{s}^{-2}}$
Substituting these values in the equation can be written as,
$5000=m\times 10\times 5$
Rearranging this equation can be written as,
$m=\dfrac{5000}{5\times 10}=100kg$

Note: The potential energy is defined as the energy possessed or associated by an object due to its position relative to other objects, because of the electric charge, stresses within itself, or because of any other factors. General examples of potential energy consist of the gravitational potential energy of a body which is dependent on its mass and its distance from the centre of mass of the other object.