As shown in the figure below, a small ball (can be considered as a particle) with mass m moves in a circular motion with a constant speed V around the center O in africtionless horizontal plane. The radius of the circular motion is R. The central acceleration force Fon the ball is provided by a rope through the center O. Now we pull therope to reduce the radius of the circular motion to R/2. What is the speed of the ball after the radius is reduced to R/2?R772,OA05 VOB. 1.0 VOC20VO D.4.0 VOE80VQUESTION 13ek Save and Submit to save and submit. Click Save All Answers to save all answers.ype here to searchhp

Answered: Image /qna-images/answer/a744c7f4-a34f-4955-86ac-e91b5728a875.jpg

As shown in the figure below, a smal1 ball (can be considered as a particle) with mass m moves in a circular motion with a constant speed V around frictionless horizontal plane. The radius of the circular motion is R. The central acceleration force Fon the ball is provided by a rope through the ce rope to reduce the radius of the circular motion to R/2. What is the speed of the ball after the radius is reduced to R/2? R 772, OA05V OB. 1.0 V OC20V O D.4.0 V O E8.0V QUESTION 13.

As shown in the figure below, a smal1 ball (can be considered as a particle) with mass m moves in a circular motion with a constant speed V around frictionless horizontal plane. The radius of the circular motion is R. The central acceleration force Fon the ball is provided by a rope through the ce rope to reduce the radius of the circular motion to R/2. What is the speed of the ball after the radius is reduced to R/2? R 772, OA05V OB. 1.0 V OC20V O D.4.0 V O E8.0V QUESTION 13.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 46P

See similar textbooks

Similar questions

Angular Momentum around CM In the class I claimed that regardless of the motion of an extended object, we have ext CM TCM where LCM and TOM are, respectively, the angular momentum and the net external torque around the CM. Assuming all the internal forces are central, prOve this result. (This result is surprising since the CM may be accelerating, so a fixed point in any inertial frame.) .ext that it is not necessarily Hint: You can define ra R+ r as shown in the following firgure. CM ra R a Ta
Ball within a shell. In Fig. a ball of mass m and radius R is placed inside a spheri- cal shell of the same mass m and inner radius 2R. The combination is at rest on a floor. The ball is released, rolls back and forth inside the shell, and finally comes to rest at the bot- R 2R tom. What is the horizontal displacement d of the shell during this process?
Mass M is uniformly distributed along a line of length 2L. A particle with mass mis at a point P distance a above the center of the line on its perpendicular bisector. Forthe gravitational force that the line exerts on the particle, calculate the components perpendicular and parallel to the line. Show that your result reduces to the correctvalue when a gets large.
A large globe has a radius R and a frictionless surface. A small block of mass m slides starts from rest at the very top of the globe and slides along the surface of the globe. The block leaves the surface of the globe when it reaches a height hcrit above the ground. The geometry of the situation is shown in the figure for an arbitrary height h. (Figure 1) a) Using Newton's 2nd law, find vcrit, the speed of the block at the critical moment when the block leaves the surface of the globe. (Assume that the height at which the block leaves the surface of the globe is hcrit) Express the speed in terms of R, hcrit, and g, the magnitude of the acceleration due to gravity. Do not use theta in your answer. b) Use the law of conservation of energy to find vcrit. This will give you a different expression for vcrit than you found in the previous part. Express vcrit in terms of R, hcrit, and g. c) Find hcrit, the height from the ground at which the block leaves the surface of the globe. Express…
A mass m moves along a frictionless track that has a loop of radius R as shown. The mass is released from such a height that it willstay on the track to make a complete circle. Find the ratio of the speed at the bottom of the track to the speed at the top of thetrack. Your answer will be a number.
Pool players often pride themselves on their ability to impart a large speed to a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table, as shown in the figure. h d The surface of the pool table is h = 0.750 m from the floor. The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landed a distance of d = 5.15 m from the table's edge, calculate the speed of his break shot vo. Assume friction is negligible. m/s
A binary star consist of two stars of the same mass m revolving in a circle of radius R about their common centre of mass. Suppose that a meteorite passes through the centre of mass of the binary star in a direction perpendicular to the orbital plane. What is the minimum speed that the meteorite must have at the centre of mass in order for it to escape from the gravitational attraction of the binary star? ANSW: 4Gm R w
1978M1. An amusement park ride consists of a ring of radius A from which hang ropes of length éwith seats for the riders as shown in Figure I. When the ring is rotating at a constant angular velocity o each rope forms a constant angle 0 with the vertical as shown in Figure II. Let the mass of cach rider be m and neglect friction, air resistance, and the mass of the ring, ropes, and seats. In the space below, draw and label all the forces acting on rider X (represented by the point below) under the constant rotating condition of Figure II. Clearly define any symbols you introduce. a. b. Derive an expression for o in terms of A, 4 0 and the acceleration of gravity g. Determine the minimum work that the motor that powers the ride would have to perform to bring the system c. from rest to the constant rotating condition of Figure II. Express your answer in terms of m, g, 4 0, and the speed v of each rider.
A satellite is initially in a circular orbit around the earth with radius ro. This initial orbit is shown in the upper left drawing. At the position marked by x in the drawing the satellite's rocket motor is fired briefly (assume instantaneously), giving the satellite an impulse in the direction of its motion (i.e. tangentially). This impulse changes the velocity of the satellite to Avg. The impulse is such that the farthest point from the earth that the satellite will reach is 2ro. : Find the initial velocity of the circular orbit. Use m for the satellite (a) mass, M for the earth's mass, G for the gravitational constant, and vo for the velocity. (b) of the satellite? Explain your answer, perhaps by saying what is wrong with all the incorrect drawings. Which of the drawings below correctly shows the subsequent path (c) factor by which the velocity must be increased so that the farthest distance from the earth will be 2rg. Use conservation of energy and angular momentum to find A, the…
An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the other with mass 101.0 kg. They have equal radii, r=0.35 m. The spheres are released from rest with their centers a distance 35.0 II apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore Igravitational forces other than that between the two spheres. Part B Find the speed of the sphere with mass 101.0 kg kg. Express your answer in meters per second. ₂ 1.8x10-6 m/s Submit Previous Answers ✓ Correct Part C Find the magnitude of the relative velocity with which one sphere is approaching to the other. Express your answer in meters per second. Ur= 8.9x10 m/s Submit Previous Answers ✓ Correct Part D How far from the initial position of the center of the 25.0 kg sphere do the surfaces of the two spheres collide? Express your answer in meters. |VD ΑΣΦ ? L = Submit Previous Answers Request Answer m
In an upright standing frictionless hollow cylinder (radius R), a Isphere (point mass m) is inserted at point A with a horizontal initial speed v0. a) What angle a to the horizontal plane has the velocity vB at point B lying in height distance h below A? b) What speed v0 is necessary such that the sphere hits the ground at C with H. 'B. an angle of 45 and what magnitude has vC in this case?
We are given two mass, mand M(M>m), suspended as shown in Figure. The system is released from rest with mon the floor and Mhigher by amount h. When Mis about to strike the floor, it is found to have a speed v. Find hif vis known. Note: Please write each step of your solution with an explanation.