Solutionbank M1 Edexcel AS and A Level Modular Mathematics Dynamics of a particle moving in a straight line Exercise B, Question 5

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Question:

A trolley of mass 50 kg is pulled from rest in a straight line along a horizontal path by means of a horizontal rope attached to its front end. The trolley accelerates at a constant rate and after 2 s its speed is 1 m s− 1. As it moves, the trolley experiences a resistance to motion of magnitude 20 N. Find

a the acceleration of the trolley,

b the tension in the rope.

Solution:

a u = 0 , v = 1 , t = 2 , a = ?

The acceleration of the trolley is 0.5 m s− 2.

b

v = u + a t1 = 0 + a × 2

⇒ a = 0.5

The tension in the rope is 45 N.

R ( → ) , T − 20 = 50 × 0.5T = 45

Page 1 of 1Heinemann Solutionbank: Mechanics 1 M1

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