Katie, a 40 kg child, climbs a tree to rescue her cat who is afraid to jump 9.4 m to the ground. How much work does Katie do to climb the tree in order to reach the cat? Answer to the nearest Joule.

The work done by the child to reach the cat is, W = 3684.8 J

Explanation:

Given data,

The mass of the child, m = 40 kg

The height of the cat from the ground, h = 9.4 m

The force acting on the child due to gravitational force is,

F = mg

The minimum force required by the child to climb the tree against the gravitational force is,

F = mg

Hence, the work done by the child is,

W = F · h

= 40 x 9.8 x 9.4

= 3684.8 joules

Hence, the work done by the child to reach the cat is, W = 3684.8 J