Two objects of masses and move in the same straight line with velocities and respectively.
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Two objects of masses m1 and m2 move in the same straight line with velocities v1 and v2 respectively.
(i) Starting from the definition of momentum, derive the mathematical condition that must be satisfied for the two objects to have equal momenta.
(ii) If instead the two objects possess equal kinetic energies, prove that the ratio of their momenta is m2m1.
(iii) A cricket ball of mass 0.16kg and a tennis ball of mass 0.06kg are struck so that they have equal kinetic energies. Calculate the ratio of their momenta.
(iv) Comment on how mass influences momentum when kinetic energy is kept the same, using your result from part (iii).