Question

In: Physics

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg...

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg rolls along a bowling alley at a linear speed of 2.6 m/s.
What is its translational kinetic energy? What is its rotational kinetic energy

Expert Solution

Given, mass (m) of the ball = 7.3 kg

radius (R) of the ball = 10.9 cm = 0.109 m

linear speed (v) of the ball is 2.6 m/s.

The translational kinetic energy is given by

And the rotational kinetic energy is given by

where m is mass of the object, v is linear speed, 'I' is the moment of inertia of the object, and is rotational speed.

can be calculated as

And the moment of inertia of the ball (solid sphere) can be calculated as

So, the translational kinetic energy of the ball is

and the rotational kinetic energy of the ball is

genius_generous answered 1 month ago

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?

A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 m...

A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 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 ? = 0.28. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. What is the magnitude of the angular acceleration of the bowling ball as it slides down the...

A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an...

A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform begins...

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to...

3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform...

In the figure below, a solid cylinder of radius 18 cm and mass 12 kg startsfrom...

In the figure below, a solid cylinder of radius 18 cm and mass 12 kg startsfrom rest and rolls without slipping a distance L = 7.9 mdown a roof that is inclined at angle ? = 29

In the figure, a solid cylinder of radius 16 cm and mass 7.7 kg starts from...

In the figure, a solid cylinder of radius 16 cm and mass 7.7 kg starts from rest and rolls without slipping a distance L = 4.4 m down a roof that is inclined at angle θ = 32°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 5.3 m. How far horizontally from the roof's edge does the cylinder hit the level ground?

A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end...

A solid sphere of radius 10 cm and mass 3.0 kg is rotating about its end at 5.6 rev/s. what is its kinetic energy?

Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with...

Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with a purely translational speed of 3.25 m/s at the top of an inclined plane. The surface of the incline is 2.50 m long, and is tilted at an angle of 34.0∘ 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.

A bowling ball with a 12 cm radius has an initial angular velocity of 5.0 rad/s....

A bowling ball with a 12 cm radius has an initial angular velocity of 5.0 rad/s. Sometime later, after rotating through 5.5 radians, the bowling ball has an angular velocity of 1.5 rad/s. What is the average angular velocity of the bowling ball? What is the average linear velocity of the bowling ball? what is the angular deceleration?

A bowling ball of mass m and radius r has a coefficient of static friction µ...

A bowling ball of mass m and radius r has a coefficient of static friction µ when in contact with an oiled wood surface. Model the ball as a solid uniform sphere. The surface is inclined at an angle θ with respect to the horizontal. What is the maximum angle of inclination of the surface such that the ball rolls without slipping? How does the angle change if the ball is now a hollow shell with all its mass concentrated...