How Does a Sphere's Speed Affect Its Climb on an Incline?

AI Thread Summary
A solid sphere with a mass of 1 kg moves at 20 m/s before ascending a 30-degree incline. The kinetic energy at the base of the incline can be calculated using the equation KE = 1/2 * mv^2. The height reached by the sphere is independent of the incline angle, while the distance covered depends on the angle of the incline. The discussion emphasizes the relationship between kinetic energy and potential energy in determining the sphere's climb. Understanding these principles is crucial for solving the problem effectively.
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Homework Statement



A solid sphere of mass 1 kg that moves on a level surface at a speed of 20m/s. It then
ascends am inclined surface with an angle of 30 degrees. Determine:

a) the kinetic energy of the sphere when it is positioned at the base of the inclined surface.

b) the distance covered on the inclined surface.


Homework Equations



What equation should be used here?

The Attempt at a Solution



I have no idea how to solve this problem.
 
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2. Homework Equations

What equation should be used here?

Your kinetic energy equation (KE=1/2*mv^2) and the potential energy equation (mgh)

Assuming no friction on the incline, the HEIGHT it reaches would be the same if the incline were 70 degrees or 2 degrees or any angle. You then use the angle to see how much distance it covers on the incline
 
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