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A body of mass 4 kg resting on a smooth horizontal plane ...

A body of mass 4 kg resting on a smooth horizontal plane is simultaneously acted upon by two perpendicular forces 6N and 8N. Calculate the acceleration of the motion

A.

2.5 ms-1

B.

3.0 ms-1

C.

4.0 ms-1

D.

4.5 ms-1

Correct answer is A

Smooth plane has negligible friction
∴ only the resultant of the perpendicular forces is acting on the body, which is given as
F =
√ 82 + 62 

=
√ 64 + 36 

=
√ 100 

= 10N
But F = Ma
∴ a = F/M = 10/4 = 2.5 ms-1