A body of mass 2 ~kg is acted upon by two forces each of magnitude 1 ~N , making an angle of 60^ with each other. The net acceleration of the body (in ms ⁻² ) is

Step-by-step solution

Given that, mass of body, m=2 ~kg Two forces F₁ and F₂ each of magnitude 1 ~N are acting on the body by making an angle =60^ with each other, then magnitude of resultant force by addition of two vectors is Net force, F= F₁^2+F₂^2+2 F₁ F₂ 60^ Substituting the values, we get F= ( l )^2+( l )^2+2( l )( l ) l 2 = 3 ~N By Newton's second law of motion, F=m a Acceleration of body, a= F m = 3 2 ~m / s ^2