A uniform, solid sphere of radius 4.50 cm and mass 4.50 kg starts with a purely translational speed of 2.00 m/s at the top of an inclined plane. The surface of the incline is 1.00 m long, and is tilted at an angle of 29.0 ∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v 2 at the bottom of the ramp.

3.58 m/s

Explanation:

Data:

The plot can be drawn to present the information in the question.

Then the calculations:

mass = 4.50 kg

translational speed = 2 m/s

radius = 4.50 cm

angle  = 29.0 °

Energy at the top of the incline, is calculated as follows:

The next item is the moment of inertia of the solid:

  =

Then the final velocity, is given by:

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )