A student swings a 0.5kg rubber ball attached to a string over her head in a horizontal, circular path. The string is 1.5 meters long and in 60 seconds the ball makes 120 complete circles. (1) What is the velocity of the ball? (ii) What is the ball's centripetal acceleration? (iii) What is the ball's centripetal force?

A student swings a 0.5kg rubber ball attached to a string over her head in a horizontal, circular path. The string is 1.5 meters long and in 60 seconds the ball makes 120 complete circles. (1) What is the velocity of the ball? (ii) What is the ball's centripetal acceleration? (iii) What is the ball's centripetal force?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.2: Circular Motion

Problem 13PP

See similar textbooks

Similar questions

A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
An office door is given a sharp push and swings open against a pneumatic device that slows the door down and then reverses its motion. At the moment the door is open the widest, (a) does the doorknob have a centripetal acceleration? (b) Does it have a tangential acceleration?
A centripetal force of 36.1N is exerted in a 2.5kg sphere causing it to rotate uniformly on a horizontal circle with radius of 1.5m. Ignore air resistance and gravity. What is the speed of the sphere in m/s
A 5kg object is in uniform circular motion traveling a circular path of radius 1.2m with a speed of 23m/s. (a) What is the objects centripetal acceleration? (b) What centripetal force is necessary to keep the object in this circular path?
A child is twirling a ball on the end of a string in a horizontal circle around her head. What is the effect on the magnitude of the centripetal acceleration of the ball if the radius of the circle remains constant but the speed doubles.
What is the maximum speed (in m/s) that a car with a mass of 450 kg can have at point B in order for its weight to hold it to the track? (Hint: treat the car's motion at point B like uniform circular motion; the weight of the car is providing the centripetal force. How fast can the car go while remaining in its circular path?)
A child is twirling a 0.0273-kg ball on a string in a horizontal circle whose radius is 0.125 m. The ball travels once around the circle in 0.409 s. (a) Determine the centripetal force acting on the ball. (b) If the speed is doubled, by what factor does the centripetal force increase?
A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s. (a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing? m/s? (b) What provides the centripetal force that keeps the child moving in an arc? O the tension in the rope O the weight of the child gravitational acceleration O the height of the tree
A child whirls a stone on a string in a horizontal circle of radius 1.5 m and at a height of 2.0 m above level ground. The string breaks and the stone flies off horizontally and hits the ground 13.3 m away horizontally. Determine the magnitude of the centripetal acceleration of the stone just before the string broke. (Use g = 10 N/kg).
A child swings a tennis ball attached to a 0.590-m string in a horizontal circle above his head at a rate of 4.50 rev/s. (a) What is the centripetal acceleration of the tennis ball?(b) What is the centripetal acceleration of the tennis ball when the string is 1.00 m in length?
A rope with a length of 2.0 m is used to swing a 0.25 kg object in a horizontal circular motion with a uniform speed of 20.0 m/s. a) What is the force of tension in the rope? b) What is the period of rotation? (Hint: the time taken for the ball to complete one entire circle)