Physics with Calculus Homework. Please help. Show work, if possible. Thanks!! :)

In raising a 6200-n piano with a pulley system, the movers note that, for every 2.2 m of rope pulled down, the piano rises 0.12 m . ideally, find the force required to lift the piano.

According to newtons universal law of gravitation, which would change the parh of the ball so it traces out widest curved path possible?

Students design a model roller-coaster track. they place a rubber ball at the highest point on the track and let it go. the ball rolls along the track pulled only by the force of gravity. eventually, it comes to a stop. which change to the design will result in the ball moving the greatest distance?