Two spheres A & B are at rest on an inclined plane as shown in the figure above. Sphere A has a mass ten times larger than sphere B. Both spheres are released at the same time and roll down the inclined. Identify the correct statement about the spheres?

The velocity of sphere A equals the velocity of sphere B

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The kinetic energy of sphere A equals the kinetic energy of sphere B

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The potential energy of sphere A equals the potential energy of sphere B

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Sphere A will catch up to sphere B

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Sphere B accelerates away from sphere A

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Solution

The correct option is A The velocity of sphere A equals the velocity of sphere B
The angle of inclination for both the spheres is same , therefore their accelerations will be same , which is $g sin θ$ , due to equal acceleration the velocity of sphere $A$ equals the velocity of sphere $B$ .

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Two spheres A & B are at rest on an inclined plane as shown in the figure above. Sphere A has a mass ten times larger than sphere B. Both spheres are released at the same time and roll down the inclined. Identify the correct statement about the spheres?

The correct option is A The velocity of sphere A equals the velocity of sphere BThe angle of inclination for both the spheres is same , therefore their accelerations will be same , which is gsinθ , due to equal acceleration the velocity of sphere A equals the velocity of sphere B.

The correct option is A The velocity of sphere A equals the velocity of sphere B
The angle of inclination for both the spheres is same , therefore their accelerations will be same , which is $g sin θ$ , due to equal acceleration the velocity of sphere $A$ equals the velocity of sphere $B$ .