1. A pinball machine launch ramp consisting of aspring and a 30° ramp of length L as shown in Fig. 1.(a)from its equilibrium position and is then released att = 0, the pinball (a sphere of mass m and radius r)reaches the top of the ramp at t = T. Derive theexpression for the spring constant k in terms ofIf the spring is compressed a distance x30°Fig. 1m, g,x, and L.[Assume that the friction is sufficient, and the ball begins rolling without slipping immediatelyafter launch.](b)What is the potential energy of the ball when it is at the midpoint of the ramp?(c)terms of g and L.Derive the expression of the speed of the ball immediately after being launched in

The mass of the pinball is m and the radius of the ball is r it starts at time t=0 and at time t =…

1. A pinball machine launch ramp consisting of a spring and a 30° ramp of length L as shown in Fig. 1. If the spring is compressed a distance x (a) from its equilibrium position and is then released at t = 0, the pinball (a sphere of mass m and radius r) reaches the top of the ramp at t = T. Derive the expression for the spring constant k in terms of m,g,x, and L. 30 Fig. [Assume that the friction is sufficient, and the ball begins rolling without slippi after launch.] (b) What is the potential energy of the ball when it is at the midpoint

1. A pinball machine launch ramp consisting of a spring and a 30° ramp of length L as shown in Fig. 1. If the spring is compressed a distance x (a) from its equilibrium position and is then released at t = 0, the pinball (a sphere of mass m and radius r) reaches the top of the ramp at t = T. Derive the expression for the spring constant k in terms of m,g,x, and L. 30 Fig. [Assume that the friction is sufficient, and the ball begins rolling without slippi after launch.] (b) What is the potential energy of the ball when it is at the midpoint

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 80P: A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane....

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