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: Option A
Explanation
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