A uniform solid sphere rolls along a horizontal frictionless surface at 10 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary stop? Note for a sphere I= 2/5Mr2, where M is the mass of the sphere and r is the radius of the sphere.
The total mechanical energy of the sphere is conserved
1/2 Iw^2 + 1/2mv^2 will be converted into gravitational potential energy as it moves up the incline
A uniform solid sphere rolls along a horizontal frictionless surface at 10 m/s and makes a...
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 with a mass of M = 360 grams and a radius R = 18.0 cm is rolling without slipping on a horizontal surface at a constant speed of 2.50 m/s. It then encounters a ramp inclined at an angle of 17.0 degrees with the horizontal, and proceeds to roll without slipping up the ramp. Use g = 10.0 m/s2. How far does the sphere travel up the ramp (measure the distance traveled along the incline) before...
4. A uniform solid sphere of radius 0.1 m rolls smoothly across a horizontal surface at a speed 0.5 m/s with kinetic energy 0.7 J. Find the mass of the sphere and its angular momentum
A solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes to a ramp, and rolls without slipping up the ramp to height h, as shown. Assuming no losses to friction, heat, or air resistance, what is h in terms of v? The moment of inertia of a rolling solid sphere is Icm=2/5MR2. Assume acceleration due to gravity is g= 9.8 m/s2. A.7v^2/10g B.v^2/2g C.v^2/7g D.3v^2/10g
A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.0 m up the ramp, measured along the surface of the ramp?
2.2 A uniform solid sphere Mr) is rolling without slipping along a horizontal surface with a speed of 7.44 m/s when it starts up a ramp that makes an angle of 29.7 with the horizontal. What is the speed of the sphere after it has rolled 2.66 m up the ramp, measured along the surface of the ramp? FinalNumber Units
Part A A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 4.10 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.00 m up the ramp, measured along the surface of the ramp? 0+1.37i m/s 0+1.57i m/s 0+0.783i m/s 0+0.979i m/s 0+1.17i m/s Request Answer Submit
A 3.0 kg block slides along a horizontal frictionless surface with a speed of 9.8 m/s. The block makes a smooth transition to a frictionless ramp inclined at an angle of 35.0
A solid cylinder of, mass.1.800 Kg rolls without slipping along a horizontal surface with a linear velocity of 6.0 m/s. It reaches an incline that makes an angle of 40 degree with the horizontal. Ignoring the losses due to the friction, to what distance does the cylinder rise on the incline? After reaching its maximum position on the incline, what will be its velocity at the bottom of the incline on its way back ?
A uniform, solid sphere of radius 5.00 cm and mass 1.75 kgstarts with a purely translational speed of 3.25 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 24.0∘with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2at the bottom of the ramp.