Two blocks and of masses and respectively are to be given the same acceleration of on…

PHYSICS · Subjective · GCSE · Physics · Forces · Forces

Problem

Two blocks

A

and

B

of masses

3\,\text{kg}

and

7\,\text{kg}

respectively are to be given the same acceleration of

2\,\text{m\,s}^{-2}

on a smooth horizontal surface. (i) Calculate the magnitude of the horizontal force required for each block. (ii) Determine the ratio

\dfrac{F_B}{F_A}

of the forces acting on the two blocks. (iii) If a force of

12\,\text{N}

is applied on block

A

, what distance will it cover in

4\,\text{s}

when starting from rest? (Assume the force remains constant and acts along the direction of motion.)