Questions

Two block of masses 3 kg and 1 kg are kept in contact with each other on a frictionless horizontal surface. If a force of 10 N is applied on the larger block what is the acceleration of the system? What is the contact force between the two blocks?

a

$2.5m/{s}^{2};2.5N$

b

$5m/{s}^{2};5N$

c

$5m/{s}^{2};2.5N$

d

$2.5m/{s}^{2};5N$

detailed solution

Correct option is A

As the bodies will move with common acceleration.

$\mathrm{a}=\frac{\mathrm{F}}{{\mathrm{m}}_{1}+{\mathrm{m}}_{2}}=\frac{10}{1+3}=2.5{\mathrm{ms}}^{-2}$.

Contact force= m_{1}a=1x2.5=2.5N.

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