Explanation Bullet and block travel together after collision, as a result they both travel at same velocity. Write the expression for the inelastic one dimensional collision for bullet and wooden block. m b v b + m w v w = ( m b + m w ) v (I) Here, m b is the mass of the bullet, v b is the velocity of bullet, m w is the mass of the wooden block, v w is velocity of the wooden block and v is the velocity of bullet and wooden block together after collision. Substitute 0 m/s for v w in above equation and solve for v b . v b = ( m b + m w ) v m b (II) Combination of wooden block and bullet comes to rest after travelling some distance. Friction also acts during this motion in opposite direction. Write the expression of force in moving the block. F = ( m b + m w ) a (III) Here, F is the force acting in forward motion and a is the acceleration of the body. Write the expression for the friction force acting in opposite direction. f = μ n Here, f is the frictional force, μ is coefficient of friction and n is the normal reaction. Substitute ( m b + m w ) g for n in above equation. f = μ ( m b + m w ) g (IV) As the block comes to rest after, hence frictional force is balanced by the force in forward direction. F = f (V) Substitute ( m b + m w ) a for F and μ ( m b + m w ) g for f in equation (V) and solve for a . ( m b + m w ) a = μ ( m b + m w ) g Rearrange the above equation for a

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Physics for Scientists and Engineers with Modern Physics, Technology Update

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The speed of bullet before collision.

Solution Summary: The author explains how bullet and wooden block travel together after collision, as a result they both travel at same velocity. Write the expression for the inelastic one dimensional collision.

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