A 100 kg hockey player pushes a 80 kg referee with a force of 800N. Assuming they on a frictionless ice surface and the push lasts for 0.5 seconds, find the following: a) the acceleration experienced by each person b) the maximum velocity reached by each person c) do the resulting motions depend on which person instigated the pushing?

###### Solution.

a) According the Newton’s second law, the acceleration is given by formula a = F/m and we should use it in order to calculate the acceleration. The hockey player a = F/m = 800/100 = 8 m/s^2 The referee a = F/m = 800/80 = 10 m/s^2 b) The velocity is given by formula V = a*t So, for the hockey player V = 8 * 0.5 = 4 m/s and for the referee V = 10 * 0.5 = 5 m/s c) The Newton’s Third law states that for every action has an equal and opposite reaction. Thereby, the resulting motions do not depend on which person instigated the pushing.