You will combine the two concepts conservation of energy and conservation of mom

Question

You will combine the two concepts conservation of energy and conservation of momentum.

A 6-g bullet is fired into a 1.5-kg block that is resting on a table. After impact, the block with the embedded bullet slides 10 cm across the table before coming to rest again. The coefficient of kinetic friction between the block and the surface of the table is 0.63. What was the initial speed of the bullet?


(Practise how to derive an algebraic expression for the speed of the bullet before calculating the final result.)

You will combine the two concepts conservation of energy and conservation of momentum.

A 6-g bullet is fired into a 1.5-kg block that is resting on a table. After impact, the block with the embedded bullet slides 10 cm across the table before coming to rest again. The coefficient of kinetic friction between the block and the surface of the table is 0.63. What was the initial speed of the bullet?


(Practise how to derive an algebraic expression for the speed of the bullet before calculating the final result.)

Explanation / Answer

first momentum remain conserve

mv = (m+M)V .... (1)

velocity of ( bullet + block) system = chagne in kinetic energy = work done by friction force

1/2 * (M+m)V^2 = mu * (M+m)*g*d

V = sqrt(2*mu*g*d)

d = 10 cm = 0.1 m

V= 1.11 m/s

now put this V in eq (1)

v = V(m +M)/m

v = 1.11 * ( 1.5 + 0.006) / 0.006

v = 278.61 m/s

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