2) A 1-meter rod of uniform density and mass 1 kilogram is attached at its upper

Question

2) A 1-meter rod of uniform density and mass 1 kilogram is attached at its upper end to a pivot, from which it can freely swing (like a pendulum). If it swings 30 degrees to the side, by how much has its gravitational potential energy changed.

5) Anticipating the effects of friction, air resistance, and the nature of the collision between the ball and the pendulum, rank from greatest to smallest: the final gravitational potential energy of the pendulum, the kinetic energy of the pendulum just after the collision with the ball, the initial kinetic energy of the ball just after it’s fired from the launcher. Explain your ranking.

Explanation / Answer

2) change in PE = PEf - PEi

= - m g L cos30 / 2 - (- m g L / 2 )

= m g L/2 (1 - cos30)

= 5.66 J

5) initial KE > KE after collision > final gravt. PE

(energy is lost in each step)

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