Question

On a frozen pond, a person kicks a 10.0 kg sled, giving it an initial speed of 12.2 m/s. How far does the sled move if the coefficient of kinetic friction between the sled and the ice is .10?

Answer 1

It moves until the work done against friction,

M g * mu * X

equals the initial kinetic energy,
(1/2) M V^2

Mass M will cancel out. You don't need to know it

Answer 2

75.86