A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms^-1 and 40 ms^-1 respectively. The ve…

Question

A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms^-1 and 40 ms^-1 respectively. The velocity of the third piece will be:

Accepted Answer

Correct answer: B. (b) Mass of pieces by M4 , M4 , M2 conserving momentum P_1+P_2+P_3=0 P_3=-(P_1+P_2) As P_1 & P_2 are perpendicular so P_3= P_1^2+P_2^2 P_3= (50 ) M4 & P_3= M2v so v = 25

$A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 m s^{- 1} and 40 m s^{- 1} respectively. The velocity of the third piece will be:$

Solution

More Collision & Variable Mass PYQs