A sled of mass m is given a kick on a frozen pond The kick i

A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.00 m/s. The coefficient of kinetic friction between sled and ice is 0.100. Use energy considerations to find the distance the sled moves before it stops.

Solution

delta k + delta E = 0

1/2 m v_f² - 1/2 m v_i² + f_k d = 0

1/2 m v_i² = mu_k m g d

d = v_i² / 2 mu_k g

= 4 / (2 * 0.100 * 9.8)

d = 2.041 m