Problem 1 [2 points): Conceptual Similar concept to that explored in Lab #3 A bu

Question

Problem 1 [2 points): Conceptual Similar concept to that explored in Lab #3 A bullet of mass m is fired into a wooden block of mass M, which is initially at rest. The bullet is stopped in the block. The bullet+block system then slides and compresses a spring. There is no friction. Suppose that the kinetic energy of the bullet immediately before impacting the block is 30.0 J. When the bullet+block system compresses the spring some maximum distance, Ax, the system's spring potential energy will be: Circle one PE, 30.0 J correct = 2 points, incorrect = 0 points; Don't Know = 1 point] PE, = 30.01 PE, > 30.0J Don't Know

Explanation / Answer

When the bullet imbeds into the block from conservation of momentum

Pf = Pi

(m1 + m2) vf = m1 v1

vf = m1 v1/(m1 + m2)

Its a case of an inelastic collision where only momentum of the system is conserved but not the kinetic energy.

So the bullet block system will have less velocity than the bullet has, and hence the less kinetic energy. After the collision the enrgy will be conserved as there is no friction. But because of inealstic collsion the PE of srping will be less than the intial KE.

Hence, PEs < 30 J

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