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
The direction of the angular velocity vector is along...Two soap bubbles each of radius r are touching each other. The radius of curvature of the common surface will be :...The Young′s modulus of a rubber string 8 cm long and density 1.5 kg/m3 is 5 × 108 N/m2, is suspended on the c...A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be...A rain drop of radius 0.3 mm has a terminal velocity in air 1 m/s. The viscosity of air is 18 × 10-5 poise. The vis...