Motion Along Curved Paths Video Lessons

Example

# Problem: A ball of mass m = 300 g is connected by a strong string of length L = 80.0 cm to a pivot and held in place with the string vertical. A wind exerts constant force F to the right on the ball as shown in Figure P8.82. The ball is released from rest. The wind makes it swing up to attain maximum height H above its starting point before it swings down again.(a) Find H as a function of F. Evaluate H for(b) F = 1.00 N and(c) F = 10.0 N. How does H behave(d) as F approaches zero and(e) as F approaches infinity?(f) Now consider the equilibrium height of the ball with the wind blowing. Determine it as a function of F. Evaluate the equilibrium height for(g) F = 10 N and(h) F going to infinity.

###### FREE Expert Solution

This is a work-energy problem. The wind is doing work on the ball.

We'll need a suitable diagram(s) and work-energy equations to explain how F and H are related.

96% (121 ratings)
###### Problem Details

A ball of mass m = 300 g is connected by a strong string of length L = 80.0 cm to a pivot and held in place with the string vertical. A wind exerts constant force F to the right on the ball as shown in Figure P8.82. The ball is released from rest. The wind makes it swing up to attain maximum height H above its starting point before it swings down again.

(a) Find H as a function of F. Evaluate H for
(b) F = 1.00 N and
(c) F = 10.0 N. How does H behave
(d) as F approaches zero and
(e) as F approaches infinity?
(f) Now consider the equilibrium height of the ball with the wind blowing. Determine it as a function of F. Evaluate the equilibrium height for
(g) F = 10 N and
(h) F going to infinity.