question_answer 54)

                  Two billiard balls A and B, each of mass 50g and moving, in opposite directions with speed of \[5\,m{{s}^{-1}}\] each, collide and rebound with the same speed. If the collision lasts for \[{{10}^{-3}}\,s,\] which of the following statements are true?                 (a) The impulse imparted to each ball is \[0.25\,\,kg\,\,m{{s}^{-1}}\] and the force oil each ball is 250 N.                 (b) The impulse imparted to each ball is \[0.25\,\,kg\,\,m{{s}^{-1}}\] and the force exerted on each ball is \[25\times {{10}^{5}}N\].                 (c) The impulse imparted to each ball is 0.5 Ns.                 (d) The impulse and the force oil each ball are equal in magnitude and opposite in direction.

Answer:

                  (c, d) Impulse = change is momentum 50                 \[\frac{50}{1000}\,(5+5)\,=0.5\,Ns\]                 Impulse \[=Ft\]. \[\therefore \] \[F=\,\frac{\text{Impulse}}{\text{time}}\,=\,\frac{0.5}{{{10}^{-3}}}=\,500N\]