A 14 lb bowling ball is thrown onto a lane with a backspin angular speed wo - 10 rad/s and forward velocity vo 17 mph. After a few seconds, the ball starts rolling without slip and moving forward with a speed v 17.2 ft/s. Let r=4.25 in. be the radius of the ball, and let KG 2.6 in. be its radius of gyration. Ge Mk m Determine the work done by friction on the ball from the initial time until the time that the ball starts rolling without slip. The work done by friction on the ball is ft-lb.
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- A skater spins about a fixed point on the ice. She begins with her arms extended and an initial angular velocity wo . She then pulls her arms in to her body. After her arms are pulled to her body, she spins with an angular velocity final ,wf . Throughout the time she is spinning, no external forces are acting in the horizontal plane. How do the magnitudes of the initial and final angular velocities compare? O A. WO > Wf В. WO = wf W0 < wf Е.A small box of mass m is given a speed of v = cylinder shown in (Figure 1). Figure A 3 CTC gr at the top of the smooth half 1 of 1 Part A Determine the angle at which the box leaves the surface. Express your answer in degrees using three significant figures. 0 = Submit VO Provide Feedback ΑΣΦ Request Answer vec ? Review Next >(a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) m = 65 kg CG Freaction 0.86 m 1.44 m (b) How much work (in J) does she do if her center of mass rises 0.260 m? (c) What is her useful power output (in W) if she does 21 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.) W
- A child rolls a metal Hoop, with a radius of 95 cm at a linear speed 1.5 m/ s along a level surface The hoop encounters a hill, which it rolls up and eventually slops. What is the vertical bright upthe hill that the hoop reaches when it comes to rest.A hollow sphere is released from rest at the top of the ramp at the height of 0.21 m. The hollow sphere rolls down the ramp (height at the bottom is 0.05m) to a distance of 1.00 m in 1.192 seconds. The angle of the incline is 15 degrees. There is only potential energy at the top and only Kinetic energy at the bottom of the ramp. Please calculate the linear speed at the bottom of the ramp. Assume that the acceleration is not 9.8 m/s2. Find the value for the height by the difference in height from where the sphere was released to where the bottom is located. Calculate the translation speed of the hollow sphere at the bottom of the ramp using conservation of energy equations.A 21 mm diameter glass marble with a mass of 25 g rolls without slipping down a track toward a vertical loop of radius ?=15 cm, as shown in the figure. Approximate the minimum translational speed ?min the marble must have in order to complete the loop without falling off the track when it is a height ?=25 cm above the bottom of the loop.
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