A ball of mass 10g is moving with a velocity of 50ms-1. On applying a constant
force on the ball for 2s, it acquires a velocity of 70ms-1. Calculate
i) the initial momentum of the ball ii) the final momentum of the ball
iii) the acceleration of the ball iv) the magnitude of the force applied.
Answers
Explanation:
Answer onQuestion #45541, Physics, OtherQuestion:A ball of mass 10Kg is initially moving with a velocity of 50 m/s. On applying a constant force on ball for 2s,it acquires a velocity of 70m/s. Calculate:a) The initial momentum of the ballb) The final momentum of the ballc) The rate of change of momentumd) The acceleration of the balle) The magnitude of the force appliedAnswer:a)The initial momentum of the ballequals:푝푖=푚푣푖=10푘푔⋅50푚푠=500푘푔푚푠where 푚is mass of the ball, 푣푖is initial velocity.b)The finalmomentum of the ballequals:푝푓=푚푣푓=10푘푔⋅70푚푠=700푘푔푚푠where 푚is mass of the ball, 푣푓is final velocity.c)The rate of change of momentumequals:Δ푝=푝푓−푝푖=(700−500)푘푔푚푠=200푘푔푚푠d)The acceleration ofthe ballequals:푎=Δ푣Δ푡=푣푓−푣푖훥푡=70−502푚푠2=10푚푠2e)The magnitude of the forceequals (Newton’s second law of motion):퐹=푚푎=10푘푔10푚푠2=10