A 53 g ball is fastened to one end of a string 27 cm long and the other end is held fixed at point O so that the string makes an angle of 36° with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle 0 would remain constant only for a particular speed of the ball in its circular path. The acceleration of gravity is 9.8 m/s². 9.8 m/s? 36° 53 g Find this speed v. Answer in units of m/s. 27 cm

A 53 g ball is fastened to one end of a string 27 cm long and the other end is held fixed at point O so that the string makes an angle of 36° with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle 0 would remain constant only for a particular speed of the ball in its circular path. The acceleration of gravity is 9.8 m/s². 9.8 m/s? 36° 53 g Find this speed v. Answer in units of m/s. 27 cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A hockey puck with mass 230 g is attached to a rope of length 49.0 cm and swung in a horizontal circle against the ice at a rate of 71.0 rpm. Assuming the ice is frictionless, what is the tension in the rope?
A motorcycle is traveling at a constant speed v when it encounters a circular hill of radius r = 590 m. The operator and motorcycle collectively have mass m = 145 kg. 1)What speed in m/s does the motorcycle have if the operator feels weightlessness (i.e., has an apparent weight of zero) at the top of the hill? 2) If the operator is traveling at the speed above and encounters a hill with a radius 2r, what is the apparent weight of both the operator and the motorcycle in Newtons at the top of the hill?
A 53-kg child riding a Ferris wheel (radius = 14 m) travels in a vertical circle. The wheel completes one revolution every 20 s. What is the magnitude of the force on the child by the seat (i.e. normal force) at the lowest point on the circular path?
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.54 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.59 rev/s. (a) Which rate of rotation gives the greater speed for the ball? O 6.59 rev/s 8.54 rev/s (b) What is the centripetal acceleration of the ball at 8.54 rev/s? m/s² (c) What is the centripetal acceleration at 6.59 rev/s? m/s²
An airplane is flying in a horizontal circle at a speed of 105m/s. The 80kg pilot does not want his centripetal acceleration to exceed 7 times the acceleration due to gravity, or 68.6m/s2. Find the minimum radius of the plane’s path. At this radius, what is the centripetal force on the pilot?
A maintenance man is twirling a set of keys on the end of a lanyard. If the keys have a centripetal acceleration of 145 m/s² and the lanyard is .15 meters long, what is the tangential speed of the keys? 12.
A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a maximum altitude of 2600 km before it falls back to Earth. At what altitude did the rocket's engines shut off? The mass and radius of the Earth are 5.97 1024 kg and 6.37 106 m, respectively. km
Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 45.4 h. The other satellite has orbital radius 4.00r. How long does the second satellite take to make one revolution around Jupiter? |h
A child is holding a string with a ball tied at the end. The child spins around in a circle causing the ball to travel in uniform circular motion. While doing this, the 1.3 m long string makes a 48.8◦ angle below horizontal. What is the tangential speed of the ball?
A 16.1 kg mass is connected to a nail on a frictionless table by a massless string 2.9 m long. There is no appreciable friction between the nail and the string. If the tension in the string is 96.5 N while the mass moves in a uniform circle on the table, how long does it take for the mass to make one complete revolution in seconds?
George swings a ball around him, in uniform circular motion. The circle's radius is r. George inadvertently releases the string, and the ball goes outward. He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr. Calculate the new rotation rate (in rev/s). r = 2.6 m Δr = 0.5 m Original rotation rate = ωi = 1.6 rev/s The ball's mass is m = 83 grams
A toy airplane with a mass of exactly 0.200 kg is tied to a 1.50 m string. The other end of the string is attached to the ceiling. The toy airplane is moving in a horizontal circle with a constant speed, v. The angle θ between the string and the vertical direction is 30.0◦. (a) What is the tension in the string? (b) Given that this is Uniform Circular Motion, ?nd the tangential velocity of the toy airplane, v.