2) A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming to rest?
2) A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed...
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
A solid, uniform sphere of mass 2.0 kg and radius 1.7 m rolls without slipping down an inclined plane of height 2.9 m. What is the angular velocity of the sphere at the bottom of the inclined plane?
A solid spherical ball of mass 2.6 kg and radius 0.09 m rolls along a smooth, level surface with a speed of 2 m/s. The ball rolls up an inclined plane. How far up, vertical height, the plane does the ball go? Express your answer as the vertical height from the level surface.
A uniform solid sphere of mass M=2kg and radius R=0.42m is given an initial angular speed w=10.1rad/s when it is at the bottom of an inclined plane of height h=2.5m, as shown in the figure. The sphere rolls without slipping. Find w if the sphere comes to rest at the top of the inclined plane. (Take g=9.81 m/s2, Isphere = 2/5 MR2 ). Express your answer using one decimal place. M.R
A solid uniform sphere and a uniform spherical shell, both having the same mass (m) and radius (R), rolls without slipping along a horizontal surface at a speed v. They then encounter a hill that rises at an angle (theta) above the horizontal. (I of the sphere = 2/5mR^2) and (I of the spherical shell = 2/3mR^2) (a) How high will the sphere roll before coming to rest? (b) How high will the spherical shell roll before coming to rest?...
A uniform, solid sphere of radius 4.00 cm and mass 2.00 kg starts with a translational speed of 2.00 m/s at the top of an inclined plane that is 1.00 m long and tilted at an angle of 20.0° with the horizontal. Assume the sphere rolls without slipping down the ramp. 1) Calculate the final speed of a solid sphere. (Express your answer to three significant figures.)
A solid sphere of mass 4.0 kg and radius of 0.12 m is at rest at the top of a ramp inclined 150. It rolls to the bottom without slipping. The upper end of the ramp is1.2 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp?4.1 m/s is the correct answer.
A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 26.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=
If a solid sphere with mass 12 kg and radius 0.1 m rolls without slipping with a constant angular speed of 50 rad/s: (SHOW WORK). How far does it go up an incline of 42° if it continues to not slip? How far does it go up the same incline if instead it starts slipping? (i.e no friction between the ball and the incline)
A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 33.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.