Extra credits- PHY1610 Dr. Sadoqi The next two questions pertain to the followin

Question

Extra credits- PHY1610 Dr. Sadoqi The next two questions pertain to the following system: A 5 g bullet is fired horizontally at 1000 m/s into a 1.0 kg stationary ballistic pendulum in which it embeds and the composite swings to a highest point. 1) Approximately what maximum height above its rest position does the pendulum attain? 2) A man is holding an 8.00-kg vacuum cleaner at arm's length, a distance of 0.550 m from his shoulder. What is the torque on the shoulder joint if the arm is horizontal?

Explanation / Answer

by conservation of momentum

initial momentum = final momentum

5 * 10^-3 * 1000 = (5 * 10^-3 + 1) * v

v = 4.975 m/s

by conservation of energy

initial energy = final energy

0.5 * (5 * 10^-3 + 1) * 4.975^2 = (5 * 10^-3 + 1) * 9.8 * h

h = 1.2628 m

height = 1.2628 m

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