Center Of Mass Momentum And Collision Question 1
Question 1 - 25 January - Shift 2
A body of mass $1 kg$ collides head on elastically with a stationary body of mass $3 kg$. After collision, the smaller body reverses its direction of motion and moves with a speed of $2 m / s$. The initial speed of the smaller body before collision is $ms^{-1}$.
Show Answer
Answer: (4)
Solution:
Formula: Conservation of Momentum
$1 \times u_1=-2+3 v \Rightarrow u_1=-2+3 v$
$1=\frac{v+2}{u_1} \quad \Rightarrow v+2=u_1$
Solving (1) and (2)
$u_1=4 m / s$
