A bullet of mass 50 g moving with an initial velocity of 100 m s^-1, strikes a wooden block and comes to rest after penetrating a distance 2 cm in it. Calculate (i) initial momentum of the bullet (ii) final momentum of the bullet, (iii) retardation caused by the wooden block, and (iv) resistive force exerted by the wooden block
Laws of Motion
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Question

A bullet of mass 50 g moving with an initial velocity of 100 m s^-1, strikes a wooden block and comes to rest after penetrating a distance 2 cm in it. Calculate (i) initial momentum of the bullet (ii) final momentum of the bullet, (iii) retardation caused by the wooden block, and (iv) resistive force exerted by the wooden block

Laws of Motion

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KnowledgeBoat · Accepted Answer

Given, m = 50 g Converting g to Kg 1000 g = 1 Kg 50 g = () x 50 kg 100 g = 0.05 Kg Hence, m = 0.05 Kg u = 100 m s^-1 S = 2 cm Converting cm to m 100 cm = 1 m 2 cm = () x 2 = 0.02 m (i) Initial momentum of the bullet = mass (m) x initial velocity (u) Substituting the values in the formula above we get, Initial momentum = 0.05 x 100 = 5 kg m s^-1 Hence, Initial momentum = 5 kg m s^-1 (ii) Final momentum = mass (m) x final velocity (u) Substituting the values in the formula above we get, Final momentum = 0.05 x 0 = 0 kg m s^-1 Hence, Final momentum = Zero (iii) As we know, v² - u² = 2as Substituting the values in the formula above we get, Hence, Retardation caused by wooden block = 2.5 x 10⁵ m s^-2 (iv) Now, Force (f) = mass (m) x acceleration (a) Substituting the values in the formula above we get, Hence, Resistive force exerted by wooden block = 12500 N

Physics

Laws of Motion

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A car of mass 480 kg moving at a speed of 54 km h-1 is stopped by applying brakes in 10 s. Calculate the force applied by the brakes.

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A car is moving with a uniform velocity of 30 m s^-1. It is stopped in 2 s by applying a force of 1500 N through it's brakes. Calculate (a) the change in momentum of car, (b) the retardation produced in car, and (c) the mass of the car.

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defines the force qualitatively
defines the force quantitatively
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gives the direction of force.

The motion of a boat moving away from the shore is an example of :
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