Question

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.

Answer 1

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

Step-by-step 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