A box with sand of mass M = 4 kg lies on a horizontal plane with a friction coefficient equal to μ = 0.5 . At an angle α = 3 7 ∘ to the vertical, a bullet of mass m = 1 kg flies into the box with a ve

Question

A box with sand of mass M = 4 kg lies on a horizontal plane with a friction coefficient equal to μ = 0.5 . At an angle α = 3 7 ∘ to the vertical, a bullet of mass m = 1 kg flies into the box with a velocity v = 10 m / s and almost instantly gets stuck in the sand. How long (in sec) after the bullet hits the box, it starts moving and then stops ?

TestHub · Accepted Answer

Normal impulse I N ​ = 1 × 10 cos 3 7 ∘ = 8 N-s, so friction impulse I F ​ = μ I N ​ = 4 N-s. Along x: 5 V = 1 × 10 sin 3 7 ∘ − 4 = 2 ⇒ V = 0.4 m/s. Stopping time t = μg V ​ = 5 0.4 ​ = 0.08 s.

Physics - NLM Question with Solution | TestHub

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