A child on a sled gets a push that gives him an initial velocity of 3.1 m/s at t

Question

A child on a sled gets a push that gives him an initial velocity of 3.1 m/s at the top of a 1.9 m high hill. Assume the hill is a frictionless surface. The child sleds to the bottom of the hill and then onto a level parking lot surface that has been plowed. There is friction between the sled and the parking lot surface and the sled travels for 5.8 m before coming to rest. Use the conservation of energy and work energy theorem to determine the coefficient of kinetic friction between sled and parking lot surface.

Explanation / Answer

here,

initial speed , v = 3.1 m/s

h = 1.9 m

s = 5.8 m

let the coefficient of kinetic friction be uk

work done by friction = chnage in total energy

uk * m * g * s = 0.5 * m * v^2 + m * g * h

uk * 9.81 * 5.8 = 0.5 * 3.1^2 + 9.81 * 1.9

uk = 0.41

the coefficient of friction is 0.41

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