Question

4. Elijah does 44 joules of work against gravity to pull a 0.5-kilogram rope with a 1.0-kilogram bucket attached up to the floor of his tree house. How many meters high is his tree house?

Answer 1

Given: Work W = 44 J; Mass of the rope and the bucket m= 1.5 Kg

Required: Find the height in meters

Formula: Work = Force x distance but Force = Weight = mg g = 9.8 m/s²

W =Fd W = mgh h = W/mg

h = 44 J/(1.5 Kg)(9.8 m/s²)

h = 2.99 m or 3 m