Adjoining figure shows a force of 40 N acting at 30⁰ to the horizontal on a body of mass 5kg
resting on a smooth horizontal surface. Assuming that the acceleration of free - fall is ${10 m/s}^{2}$ ,
which of the following statements is (are) correct ?

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The horizontal force acting on the body is 20 N

The weight of the 5kg mass acts vertically downwards

The net vertical force acting on the body is 30 N

The net vertical force acting on the body is 0 N

answer is B.

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Detailed Solution

$∴ N = mg - F \sin 30 ° = 5 (10) - 40 (\frac{1}{2}) = 30 N I f N > m g b o d y m o v i n g i n v e r t i c a l d i r e c t i o n T h e r e f o r e, N o m o t i o n ∴ F_{N} = 0$

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