Question

Tipler Chapter 7 problem 65 As part of your solution, please draw a figure showing the initial conditions, the conditions at the en part a, and the conditions at the end of part b. Tipler Chapter 7 problem 39. As part of your solution, please draw a figure showing the initial conditions, the conditions just as the object is about to touch the spring, and when the object comes to a stop. F10 F11 F12 5 6 7 8 9 0

Answer 1

Pot. Energy at height 5 m when comes down is fully converted into K.E Therefore mg h = 1/2 m v^2 Implies v = squareroot 2g h = squareroot 2 times 9.8 times 5 v = 9.89 m/s v^2 - u^2 = 2as Initially Block was at rest Therefore u = 0 m/s Implies a = v^2/2s = 9.8 m/s^2 Force due to Block on spring F = ma = (3 times 9.8) N = 29.4 N Now force on spring F = -k x -ve sign shows restoring force F = k x k = 400 N/m Implies x = 29.4/400 = 0.735 m x = 0.0735 m Initial Condition of spring (No force) \r\n velocity (at bottom) , u = 9.89 m/s v = 0 a = 9.8 m/s^2 v^2 - u^2 = 2as s = u^2/2a = 4.945 m \r\n P middot E at bottom mgh = 1/2 m v^2 u = squareroot 2 middot gh = squareroot 2 times 9.8 times 3 = 7.668 m/s Therefore speed at the bottom = 7.668 m/s