A bullet of mass m = 10 gm strikes a hanging block of mass M = 50 gm inelastically, with a horizontal velocity v0 = 60 m/s. Find the change in tension (in N) in the string during collision. Round off to nearest integer. (Take : ℓ = 1 m, g=10m/s2)

Engineering

Physics

Collision

Question

A bullet of mass m = 10 gm strikes a hanging block of mass M = 50 gm inelastically, with a horizontal velocity v₀ = 60 m/s. Find the change in tension (in N) in the string during collision. Round off to nearest integer. (Take : ℓ = 1 m, g=10m/s²)

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

T_i = Mg

$T_{f} - (M + m) g = (M + m) \frac{v^{2}}{ℓ}$

(M + m)v = mv₀

$T_{f} = (M + m) g + (M + m) \frac{v_{0}^{2}}{(M + m)^{2} ℓ} \times m^{2}$

$T_{f} - T_{i} = mg + \frac{m^{2} v_{0}^{2}}{(M + m) ℓ}$

$= 0 \times 10^{- 1 / 3} \times 10 + \frac{10^{- 4} \times 3600}{60 \times 10^{- 3} \times 1} = 6 .1 N$