# Answer to Question #32411 in Mechanics | Relativity for nat

Question #32411

A 25.0 kg ball rolls off a 3.0 meter, frictionless ramp, inclined at 30.0º onto a level, frictionless floor for 25.5

seconds. Then it rolls up another frictionless ramp of equal degree and 3.5 meters in length. What is the potential

energy of the ball at part I (fig 1)? What is the kinetic energy of the ball at the part I/part II boundary? What is the

work done in part I and in part II? What is the total work done on the system from start to finish? What kind of

potential energy is described in part I? If the 2nd ramp in part III were only 2.5 m, at what velocity (remember,

speed and direction) will the ball leave the ramp? If instead you have a loop-d-loop that is as high as the 3.0 ramp

is above ground, what would be the necessary initial velocity to complete passing through the loop?

seconds. Then it rolls up another frictionless ramp of equal degree and 3.5 meters in length. What is the potential

energy of the ball at part I (fig 1)? What is the kinetic energy of the ball at the part I/part II boundary? What is the

work done in part I and in part II? What is the total work done on the system from start to finish? What kind of

potential energy is described in part I? If the 2nd ramp in part III were only 2.5 m, at what velocity (remember,

speed and direction) will the ball leave the ramp? If instead you have a loop-d-loop that is as high as the 3.0 ramp

is above ground, what would be the necessary initial velocity to complete passing through the loop?

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