Momentum and CollisionHardBloom L2
Question
A particle of mass m is moving along the x-axis with speed v when it collides with a particle of mass 2m initially at rest. After the collisions, the first particle has come to rest, and the second particle has split into two equal-mass pieces that move at equal angles θ > 0 with the x-axis, as shown in the figure. Which of the following statements correctly describes the speeds of the two pieces?
Options
A.Each piece moves with speed v
B.One of the pieces moves with speed v, the other moves with speed less than v
C.Each piece moves with speed v/2
D.Each piece moves with speed greater than v/2
Solution
Sol. 
m . 2v1cosθ = mv
⇒ $v_{1} = \frac{v}{2\cos\theta}$
cosθ <1 ⇒ v1 > $\frac{v}{2}$
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
Two balls of same mass are dropped from the same height h, on to the floor. The first ball bounces to a height h/4, afte...The following four wires are made of the same material. Which of these will have the largest. extension when the same te...Three interacting particles of masses 100 g, 200 g and 400 g each have a velocity of 20 m/s magnitude along the positive...Detol antiseptic lotion is used for nursing cuts and wounds on the body because its surface tension is :-...One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspen...