A body of mass 5 ~kg starts from the origin with an initial velocity u =30 i +40 j ms ⁻¹ . When a constant force F =-( i +5 j ) N acts on the body, the time in which the y -component of the velocity becomes zero is

Step-by-step solution

Given, u =30 i +40 j ms ⁻¹ Force, F =-( i +5 j ) N aligned m & =5 ~kg u_y & =40 ~ms ⁻¹, F_y=-5 ~N aligned Acceleration of body along y -direction, a_y= F_y m = -5 5 =-1 ~ms ⁻² Using equation of straight line motion, aligned v & =u+a t v_y & =u_y+a t 0 & =40+(-1) t t=40 ~s aligned