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# HW 7 - lie(el7352 HW07 markert(56480 This print-out should...

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lie (el7352) – HW07 – markert – (56480) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points Assume: The bullet penetrates into the block and stops due to its friction with the block. The compound system of the block plus the bullet rises to a height of 14 cm along a circu- lar arc with a 25 cm radius. Assume: The entire track is frictionless. A bullet with a m 1 = 30 g mass is fired horizontally into a block of wood with m 2 = 5 . 36 kg mass. The acceleration of gravity is 9 . 8 m / s 2 . 25 cm 5 . 36 kg 30 g v bullet 14 cm Calculate the total energy of the composite system at any time after the collision. Answer in units of J. 002 (part 2 of 3) 10.0 points Taking the same parameter values as those in Part 1, determine the initial velocity of the bullet. Answer in units of m / s. 003 (part 3 of 3) 10.0 points Denote v bullet to be the initial velocity, find the momentum of the compound system im- mediately after the collision. 1. p f = m bullet v bullet 2. p f = m block radicalbig g h 3. p f = m bullet radicalbig g h 4. p f = 1 2 ( m bullet + m block ) v bullet 5. p f = m block v bullet 6. p f = m bullet + m block g h 7. p f = ( m bullet + m block ) radicalbig g h 8. p f = 1 2 ( m bullet + m block ) radicalbig g h 9. p f = ( m bullet + m block ) v bullet 10. p f = m bullet + m block v bullet 004 10.0 points A 9 kg mass slides to the right on a surface having a coefficient of friction 0 . 38 as shown in the figure. The mass has a speed of 5 m / s when contact is made with a spring that has a spring constant 178 N / m. The mass comes to rest after the spring has been compressed a distance d . The mass is then forced toward the left by the spring and continues to move in that direction beyond the unstretched posi- tion. Finally the mass comes to rest a distance D to the left of the unstretched spring.

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