The figure on the right illustrates a ball which is a uniform solid sphere having mass M and radi...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1)What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114 m is thrown down the lane with an initial speed of v = 8.7 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.32. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.A) Calculate its translational speed when it reaches the bottom.B) Calculate its rotational speed when it reaches the bottom. C) What is the ratio of translational to rotational kinetic energy at the bottom? D) Avoid putting in numbers until the end so you can answer: do your...
A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0? incline that is 10.0m long. Part A Calculate its translational speed when it reaches the bottom. v= Part B Calculate its rotational speed when it reaches the bottom. Express your answer using three significant figures and include the appropriate units. w = Part C What is the ratio of translational to rotational kinetic energy at the bottom?...
A 305-N solid sphere of radius 0.4 m is released from rest and rolls without slipping from the top to the bottom of a ramp of length 5 m that is inclined at an angle of 25 degrees with the horizontal as shown in the figure below. a. What type(s) of energy does the object have when it is released? Gravitational Potential Energy (GPE) Rotational Kinetic Energy (KE) Translational Kinetic Energy (KE) Both KE and KE, GPE, KE, and KE,...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
A sphere of radius r = 34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long. Part A Calculate its translational speed when it reaches the bottom. Express your answer using three significant figures and include the appropriate units. A Value Units Submit Request Answer Part B Part B Calculate its rotational speed when it reaches the bottom. Express your answer using three significant figures and...
A solid sphere rolls in released from rest and rolls down an incline plane, which is 2.0 m long and inclined at a 30° angle from the horizontal. (a) Find its speed at the bottom of the incline. (Remember that the kinetic energy in rolling motion is the translational kinetic energy ½ Mv2 of the center, plus the rotational K.E. ½ Iω2 about the center. Also remember that v = ωr if the sphere rolls without slipping.) (b) Find the...
A bowler throws a bowling ball of radius R = 11 cm down a lane. The ball slides on the lane with initial speed vcom,0 = 11.0 m/s and initial angular speed ω0 = 0. The coefficient of kinetic friction between the ball and the lane is 0.22. The kinetic frictional force fk acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When speed vcom has...