A bullet of mass m is fired horizontally into a large sphere of mass M and radius R resting on a smooth horizontal table. The bullet hits the sphere at a height h from the table and sticks to its surface. If the sphere starts rolling withou

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A bullet of mass m is fired horizontally into a large sphere of mass M and radius R resting on a smooth horizontal table. The bullet hits the sphere at a height h from the table and sticks to its surface. If the sphere starts rolling without slippng immediately on impact, then

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Correct answer: C. h R = 10 ~m +7 M 5( ~m + M )

Apply conservation of linear momentum array l m v=(m+M) v₀ m v R= ( 2 5 M R²+m R² ) ₀ m v ( h-R R ) R= (2 M+5 M) 5 ₀ R² (m+M)(h-R) ₀ R= (2 M+5 M) 5 ₀ R² h R = (10 m+7 M) 5(m+M) array

A bullet of mass m is fired horizontally into a large sphere of mass M and radius R resting on a smooth horizontal table. The bullet hits the sphere at a height h from the table and sticks to its surface. If the sphere starts rolling without slippng immediately on impact, then

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