A very low friction merry-go-round (rotating platform) with a radius of 1.5 m and moment of inertia of 50 kgm2 is rotating at 10 rev/min. A child with a mass of 20 kg initially sits 1 m from the center, and then moves outward toward the edge of the platform. Which quantities are conserved in this scenario?

I. Angular Momentum

II. Rotational Kinetic Energy

III. Angular velocity

The man fires an 80 g arrow so that it is moving at 80 m/s when it hits and embeds in a 8.0 kg block resting on ice. how far will the block slide on the ice before stopping? a 7.1 n friction force opposes its motion.

Talia is manufacturing rolls of wire for hanging pictures. she needs a material that is so that it can easily be pulled into wire without breaking.

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.