# Chapter 8 - Potential Energy and Conservation of Energy - Problems: 66b

94.1 Joules

#### Work Step by Step

When the sloth falls, all the potential energy is converted to Kinetic Energy To find gravitational potential energy, the equation is U = mgd where d is the distance above the ground, m is the mass and g is the acceleration due to gravity. Therefore we have U = (3.2kg)(9.8 $m/s^2$)(3m) = 94.1 Joules Therefore, when he is about to hit the ground, he has 0 gravitational potential energy and 94.1 Joules of Kinetic Energy due to conservation of energy.

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