Answer to Question #171793 in Physics for Leeson

Question

A 500g trolly is placed on a runway that is tilted so that it makes an angle of 30 degrees to a horizontal table.A light inextensible string is attached to 150g mass piece.the trolly accelerates down the slope as a result of the force applied by the hanging mass piece.the frictional force between the trolly and the runway is 1.5N, what is the magnitude of the tension T in the string?

Answer 1

$$T=Mg\sin{30}-F_f+mg\\T=(0.5)(9.8)\sin{30}-1.5+(0.15)(9.8)\\T=2.4\ N$$