A 0.50-kg ball that is tied to the end of a 1.3-m light cord is revolved in a horizontal plane, with the cord making a 30° angle with the vertical. (a) Determine the ball's speed. (b) If, instead, the ball is revolved so that its speed is 3.5 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.2 N, what is the highest speed at which the ball can move?

A 0.50-kg ball that is tied to the end of a 1.3-m light cord is revolved in a horizontal plane, with the cord making a 30° angle with the vertical. (a) Determine the ball's speed. (b) If, instead, the ball is revolved so that its speed is 3.5 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.2 N, what is the highest speed at which the ball can move?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 9WUE: A man whirls a 0.20-kg piece of lead attached to the end of a string of length 0.500 m in a circular...

See similar textbooks

Similar questions

An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P5.60). The coefficient of static friction between person and wall is s, and the radius of the cylinder is R. (a) Show that the maximum period of revolution necessary to keep the person from falling is T=(42Rs/g)1/2. (b) If the rate of revolution of the cylinder is made to be somewhat larger, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person? (c) If the rate of revolution of the cylinder is instead made to be somewhat smaller, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person?
A man whirls a 0.20-kg piece of lead attached to the end of a string of length 0.500 m in a circular path and in a vertical plane. If the man maintains a constant speed of 4.00 m/s, what is the tension in the string when the lead is (a) at the top of the circular path? (b) at the bottom of the circular path? (Sec Section 7.4.)
A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.
A 0.50-kg ball that is tied to the end of a 1.1-m light cord is revolved in a horizontal plane, with the cord making a 0 = 30° angle with the vertical. (a) Determine the ball's speed. m/s (b) If, instead, the ball is revolved so that its speed is 3.6 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.9 N, what is the highest speed at which the ball can move? m/s
A 0.50-kg ball that is tied to the end of a 2.0-m light cord is revolved in a horizontal plane, with the cord making a e = 30° angle with the vertical. (a) Determine the ball's speed. m/s (b) If, instead, the ball is revolved so that its speed is 3.8 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.3 N, what is the highest speed at which the ball can move? m/s
A 1,814 kg car is running on a vertical wall. The coefficient of static friction between the tires and the wall is 0.67, and the radius of the track is 7 m. Find the minimum speed of the car so it does not slip. Round the final answer to 1 decimal place.
A 20 kg child sitting on a swing is pulled back to an angle of 50° off the vertical as shown in the figure then given a push which results in a 1 m/s initial velocity in the transverse direction. The length of the cables is 2 m. Use Newton's Second Law in terms of polar coordinates to determine the tension in each of the cables when the child gets to the lowest point of the path. (0/5 嫡个 S
A kid whirls a rock of mass 0.5 kg in a vertical circle of radius 0.80 m. (a) What is the minimum speed of the rock at the top of the circle such that the rope does not go slack? (b) What is the speed of the rock at the bottom of the circle if the tension in the rope is 17.0 N?
"plastered" against the wall. Suppose the radius of the room is 3.91 m and the speed of the wall is 13.9 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 54.5 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away
A certain string can withstand a maximum tension of 40 N without breaking. A child ties a 0.37 kg stone to one end and, holding the other end, whirls the stone in a vertical circle of radius 0.91 m, slowly increasing the speed until the string breaks. (a) Where is the stone on its path when the string breaks? (b) What is the speed of the stone as the string breaks?
A roller-coaster car has a mass of 1220 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 18.1 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v- 9.49 m/s? (b) What is F if v- 16.7 m/s? (a) Number i (b) Number i Units Units
Jill of the Jungle swings on a vine 7.00 m long. (a) What is the tension in the vine if Jill, whose mass is 65.0 kg, is moving at 3.00 m/s when the vine is vertical? (b) If the maximum tension that the rope can support is 750 N, what is the maximum speed that you can have on the rope?