PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
Two identical flat trolleys, T1 and T2, of masses 5kg and 10kg respectively, are set rolling on a smooth horizontal track with the same speed of 2m/s. After travelling 1m, an automatic braking pad exerts an equal constant retarding force of 10N on each trolley until it comes to rest.
(i) Calculate the ratio of the inertia of motion of T2 to that of T1.
(ii) Using Newton’s First Law, predict which trolley will travel a longer distance before coming to rest under the same retarding force. Give a reason for your answer without performing detailed force calculations.
(iii) Show, with suitable algebraic steps, that for the same retarding force acting over the same time interval, the distance required to stop is directly proportional to the mass of the trolley.