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.
conserving energy,
0.5 mv^2 + 0.5Iw^2=mgh
or 0.5*mv^2 + 0.5*0.4*mv^2=mgh (I=0.4 mR^2 and v=wr)
or 0.5*1.4*mv^2=mgh
or 0.7*2^2=9.81*h
or h=0.285 m
A solid spherical ball of mass 2.6 kg and radius 0.09 m rolls along a smooth,...
A solid spherical ball of mass 1.72 kg and radius 0.16 m rolls along a smooth, level surface with a speed of 2 m/s. What is the ball
A solid spherical ball of mass 2.53 kg and radius 0.12 m rolls along a smooth, level surface with a speed of 2 m/s. What is the ball’s rotational kinetic energy?
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 solid uniform spherical ball of mass 2.0 kg and radius 0.50 m rolls without slipping down a ramp that makes a 15 degree angle with the horizontal. What is the center-of-mass speed (in m/s) of the ball after it rolls 0.50 m down the ramp? A) 1.8 B) 2.5 C) 4.5 D) 7.0 E) None of these
4. A steel ball has a mass of 4.0 kg and rolls along a smooth, level surface at 62 m/s (b) At first, the ball was at rest on the surface. A force acted on it through a distance of 22 m to give it the speed of 62 m/s. What was the magnitude of the force?
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?
A uniform solid disk has a radius 1.60 m and a mass of 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity is 4.09 rad/s at the bottom, what is the height of the inclined plane?
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 m and radius r starts to move down from rest at a height H as shown. The downward part of the road is rugged, that is, some friction exists until it arrives at the horizontal part. But after that there is no friction on the smooth part. Until which height (in terms of H) does the ball climb on the smooth part? 3- A solid spherical ball of mass m and radius r starts...
A solid disc of mass 2. kg and radius 0. 20 m rolls with velocity 3 m/s. What is the maximum height it can reach if it moves up on an inclined plane ? (Note: I = 0.5 MR 2 for a solid disc, and g = 9.80 m/s 2 .) Two tensions are applied from opposite sides of a pulley as T1 = 20 N and T2=35 N. Pulley is a solid disc of radius 0.5 m and with...