A body of mass 2 ~kg is acted upon by two forces each of magnitude 1 ~N and inclined at 60^ with each other. The acceleration of the body in m s is [ 60^ =0.5 ]

Step-by-step solution

Let us apply the parallelogram law of vectors to find the resultant of the forces. F _ net = F ₁²+ F ₂²+2 F ₁ ~F ₂ Given: F ₁=1, ~F ₂=1 and =60^ So, F _ net = (1)²+(1)²+2 1 1 60⁰ = 1+1+2 1 / 2 = 3 ~N Now F = ma or, a= F m = 3 2 m / s² Thus, the net acceleration of the body is 3 2 ~m / s ²