Question

Three carts move on a frictionless track with masses and velocities as shown. The cart collide and stick together after successive collisions. Find the total magnitude of the impulse experienced by $A$.

• A. $1Ns$
• B. $2Ns$
• C. $3Ns$
• D. $4Ns$

Answer 1

Answer: (C)

$3Ns$

According to impulse momentum theorem:

Impulse experienced by $A=$ change in A's momentum

According to conservation of momentum

$m_1\overrightarrow{V_1}+m_2\overrightarrow{V_2}+m_3\overrightarrow{V_3}=(m_1+m_2+m_3)V\Rightarrow 3\times 1+1\times 1+(-2\times 2)=(3+1+2)V\Rightarrow 3+1-4=\left(6\right)V\Rightarrow V=0$

$\therefore$ Impuse experienced by$A=mV=3\times 1=3Ns$