A hockey player & referee

hockeyA 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.

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