Momentum and CollisionHardBloom L3
Question
A system of two blocks A and B are connected by an inextensible massless string as shown. The pulley is massless and frictionless. Initially the system is at rest when, a bullet of mass 'm' moving with a velocity 'u' as shown hits the block 'B' and gets embedded into it. The impulse imparted by tension force to the block of mass 3m is
Options
A.$\frac{5mu}{4}$
B.$\frac{4mu}{5}$
C.$\frac{2mu}{5}$
D.$\frac{3mu}{5}$
Solution
Sol. Writing Impulse equation for tension
–Tdt = (m + m) v – mv .....(1)
Tdt = 3mv – 0 .....(2)
⇒ 5mv = mu
⇒ v = $\frac{u}{5}$
⇒ Impulse by tension on 3m = $3m\left( \frac{u}{5} \right)$ = $\frac{3mu}{5}$
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
A shell is fired from a cannon with velocity v (m/s) at an angle with the horizontal direction. At the heighest point in...A sphere of mass m1 = 2kg collides with a sphere of mass m2 = 3kg which is at rest. Mass m1 will move at right angle to ...A ball falls from a height of 5m and strikes the roof of a lift. If at the time of collision, lift is moving in the upwa...If similar bullets are fired from two guns out of which one is lighter and another one is heavier. Which gun will give m...A moving block having mass m, collides with another stationary block having mass 4m. The lighter block comes to rest aft...