In an effort to rev up his class, Mr. H does a demonstration with a bucket of water tied to a 1.3-meter long string. The bucket and water have a mass of 1.8 kg. Mr. H whirls the bucket in a vertical circle such that it has a speed of 3.9 m/s at the top of the loop and 6.4 m/s at the bottom of the loop. a. Determine the acceleration of the bucket at each location.b. Determine the net force experienced by the bucket at each location.c. Draw a free body diagram for the bucket for each location and determine the tension force in the string for the two locations.

In an effort to rev up his class, Mr. H does a demonstration with a bucket of water tied to a 1.3-meter long string. The bucket and water have a mass of 1.8 kg. Mr. H whirls the bucket in a vertical circle such that it has a speed of 3.9 m/s at the top of the loop and 6.4 m/s at the bottom of the loop. a. Determine the acceleration of the bucket at each location.b. Determine the net force experienced by the bucket at each location.c. Draw a free body diagram for the bucket for each location and determine the tension force in the string for the two locations.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 69P: (a) What is the radius of a bobsled turn banked at 75.0and taken at 30.0 m/s, assuming it is ideally...

See similar textbooks

Similar questions

An airplane flys in a circular loop with radius of 750m, the pilot of the airplane have a mass of 75kg. The airplane moves with a constant velocity of 100m/s. a) How much force is being put on the pilot from the seat in the top and bottom of the loop? b) What is the speed if the pilot loses contact with the seat at the top of the loop?
A car (m = 1069 kg) is moving at 16 m/s when it encounters a circular dip in the road of radius 97 m. Assuming the car maintains constant speed the entire time, what would be the magnitude of the force of gravity at the bottom of the dip? b.What is the magnitude of the car's acceleration at the bottom of the dip? c.What is the magnitude of the Normal Force on the car at the bottom of the dip?
A 60 kg Gila monster on a merry-go-round is traveling in a circle with a radius of 3 m at a speed of 2m/s. a. What acceleration does the monster experience? b. What is the net force? How does this compare with the monster’s weight?
A ball of mass 5.0 kg is attached to the end of a 2.2 m long string and whirled around in a circle that describes a vertical plane. (a) What is the minimum speed that the ball can be moving at and still maintain a circular path? Provide a free-body diagram.(b) At this speed, what is the maximum tension in the string? Provide another free-body diagram.(c) If the ball is rotated in a horizontal circle at the same speed with the end of the string held above the head, what angle does the string make with the horizontal?
A 300 g block on a 52.0 cm long string swings in a circle on a horizontal, frictionless table at 55.0 rpm. a) What is the speed of the block? b) What is the tension in the string?
a) What is the radius of a bobsled turn banked at 76° and take. At 34 m/s, assuming it is ideally banked? r= m b) calculate the centripetal acceleration ac= m/s^2 c) does this seem large to you? Hint:try expressing the quantity as a multiple of g. Calculate the ratio of the acceleration compared to g. How does the acceleration compare to g? ac/g=
If the magnitude of the resultant force is to be 500 N, directed along the positive y axis, determine the magnitude of force F and its direction θ . a. Write some differences between centripetal and centrifugal force with diagrams? b. A 500 gm of round shaped ball attached at the end of a cord, is rotated in a horizontal circle with an angular speed of 10 rad/s. If cord’s length is 60 cm, what is the centripetal force? c. If the final speed of the ball = 3 ×the initial speed, then what is the centripetal force?
A 0.25-kg ball is attached to the end of a 0.50-m string and moved in a horizontal circle at 2 m/s. (a) What net force is needed to keep the ball in its circular path? (b) Supposed you make the string half as long (0.25 m), what force is now needed?
A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown (See Figure P7.26) The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity. (A) What forces are acting on an astronaut in one of the cabins? (B) Write Newton's second law for an astronaut lying on the floor of on habitats, relating the astronaut's mass m, his velocity v, his radial distance from the hub r, and the normal force n. (C) What would n have to equal if the 60.0 kg astronaut is to experience half his normal Earth weight? (D)Calculate the necessary tangential speed of the habitat from Newton's second law. (E) Calculate the angular speed from the tangential speed. (F) Calculate the period of rotation from the angular speed. (G) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his head is he…
A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown in Figure P7.26. The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity. (a) What forces are acting on an astronaut in one of the cabins? (b) Write Newton’s second law for an astronaut lying on the “floor” of one of the habitats, relating the astronaut’s mass m , his velocity v , his radial distance from the hub r , and the normal force n, (c) What would n have to equal if the 60.0-kg astronaut is to experience half his normal Earth weight? (d) Calculate the necessary tangential speed of the habitat from Newton’s second law. (e) Calculate the angular speed from the tangential speed. (f) Calculate the period of rotation from the angular speed. (g) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his…
A bob of mass m is suspended from a fixed point with a massless string of length L (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θ. a. What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle θ from the vertical? b. How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables m, L, and θ, as well as the free-fall acceleration g.
A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v. a. What is the ratio of the truck's net centripetal force to the car's net centripetal force? b. At what new speed vtruck will the net centripetal force acting on the truck equal the net centripetal force acting on the car still moving at the original speed v? State your answer in terms of v.