A child and sled with a combined mass of 47.0 kg slide down a frictionless slope

Question

A child and sled with a combined mass of 47.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.40 m/s at the bottom, what is the height of the hill?

A child and sled with a combined mass of 47.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.40 m/s at the bottom, what is the height of the hill? A block of mass m = 7.00 kg is released from rest from point and slides on the frictionless track shown in the figure below. (Assume ha = 7.30 m.) Determine the block's speed at points and Determine the net work done by the gravitational force on the block as it moves from point to point .

Explanation / Answer

Using conservation of energy

Potential Energy (Before) = Kinetic Energy (After)

mgh = 0.5mv^2

divide both sides by m

gh = 0.5v^2

h = (0.5V^2)/g

h = (0.5*2.2^2)/9.81

h = 0.25m

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