A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The...

A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The ball starts from rest. The ball descends a vertical height of 6.0 m to reach the bottom of the ramp. What is its speed at the bottom?

Expert Solution

This problem is solved using conservation of energy and concepts of pure rolling.

genius_generous answered 1 year ago

A solid, uniform disk of radius 0.250 m and mass 53.2 kg rolls down a ramp...

A solid, uniform disk of radius 0.250 m and mass 53.2 kg rolls down a ramp of length 4.70 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s

A solid, uniform disk of radius 0.250 m and mass 60.6 kg rolls down a ramp...

A solid, uniform disk of radius 0.250 m and mass 60.6 kg rolls down a ramp of length 4.80 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s

A solid 0.5350-kg ball rolls without slipping down a track toward a loop-the-loop of radius R...

A solid 0.5350-kg ball rolls without slipping down a track toward a loop-the-loop of radius R = 0.8150 m. What minimum translational speed vmin must the ball have when it is a height H = 1.276 m above the bottom of the loop, in order to complete the loop without falling off the track?

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting...

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting from rest. The angle of inclination of the incline is θ. a. After moving a distance L along the incline, what is the angular speed ω of the hoop? b. If the coefficient of static friction between the hoop and the incline is µs = 1/3, what is the greatest possible value of θ such that no slipping occurs between the hoop and the...

Consider a solid sphere of mass m and radius r being released down a ramp from...

Consider a solid sphere of mass m and radius r being released down a ramp from a height h (i.e., its center of mass is initially a height h above the ground). It rolls without slipping and passes through a vertical loop of radius R. a. Determine the moment of inertia of the solid sphere. You must carry out the integration and it’s not sufficient just to write out 2/5mr^2 b. Use energy conservation to show that the tangential and...

1. a)A bowling ball of mass 5 kg rolls down a slick ramp 20 meters long...

1. a)A bowling ball of mass 5 kg rolls down a slick ramp 20 meters long at a 30 degree angle to the horizontal. What is the work done by gravity during the roll, in Joules? b)A bowling ball of mass 5 kg rolls off the edge of a building 20 meters tall. What is the work done by gravity during the fall, in Joules? c)A bowling ball of mass 5 kg rolls down a horizontal alley lane 20 meters...

A disk with m=4.4 kg and radius 14.1 cm rolls a distance 4.3 m down a...

A disk with m=4.4 kg and radius 14.1 cm rolls a distance 4.3 m down a ramp that is inclined by an angle 26.9° with respect to the horizontal. At the bottom of the ramp, what is its translational kinetic energy?

A 4.50 kg solid cylinder with radius 10.0 cm is allowed to roll down a uniform...

A 4.50 kg solid cylinder with radius 10.0 cm is allowed to roll down a uniform slope that has been inclined at 22°. The cylinder is stationary at the top and the length of the incline is 5.50 meters. 1. What percentage of the total KE is rotational KE at the bottom of the ramp? 2. What is the angular acceleration of the cylinder as it rolls down the ramp? 3. Find the velocity of the cylinder at the bottom...

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R....

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R. There is a section of the track (between the ramp and the loop) with length 2R that has a kinetic friction coefficient of 0.5. From what height h must the mass be released to stay on the track? No figure. 1.5R 2.5R 3.5R 4.5R or 5.5R

A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies...

A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 313 N at the edge of the disk on the +x-axis, 2) a force 313 N at the edge of the disk on the –y-axis, and 3) a force 313 N acts at the edge of the disk at an angle θ =...

Question