Two solid spheres simultaneously start rolling (from rest) down an incline. One sphere

Chapter 8, Problem 12Q

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QUESTION:

Problem 12Q

Two solid spheres simultaneously start rolling (from rest) down an incline. One sphere has twice the radius and twice the mass of the other. Which reaches the bottom of the incline first? Which has the greater speed there? Which has the greater total kinetic energy at the bottom?

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QUESTION:

Problem 12Q

Two solid spheres simultaneously start rolling (from rest) down an incline. One sphere has twice the radius and twice the mass of the other. Which reaches the bottom of the incline first? Which has the greater speed there? Which has the greater total kinetic energy at the bottom?

ANSWER:

Solution 12Q

Step 1 of 4

The objective here is to identify the sphere which will reach the bottom of the incline first, out of two spheres if one is having twice the radius and twice the mass of the other. Also we have to identify the sphere with greater speed and greater total kinetic energy at the bottom.

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