If a solid sphere and a hollow sphere have the same mass and radius, which one w

Practice Questions

Q1
If a solid sphere and a hollow sphere have the same mass and radius, which one will roll down an incline faster?
  1. Solid sphere
  2. Hollow sphere
  3. Both will roll at the same speed
  4. Depends on the angle of incline

Questions & Step-by-Step Solutions

If a solid sphere and a hollow sphere have the same mass and radius, which one will roll down an incline faster?
  • Step 1: Understand that both spheres have the same mass and radius.
  • Step 2: Know that when objects roll down an incline, their shape affects how fast they roll.
  • Step 3: Learn about 'moment of inertia,' which is a measure of how difficult it is to change an object's rotation.
  • Step 4: Realize that a solid sphere has a smaller moment of inertia than a hollow sphere of the same mass and radius.
  • Step 5: Remember that a smaller moment of inertia means the object can roll down the incline faster.
  • Step 6: Conclude that the solid sphere will reach the bottom of the incline before the hollow sphere.
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