A hollow sphere and a solid sphere having same mass and same radi… - Vidyadip

MCQ

A hollow sphere and a solid sphere having same mass and same radius are rolled down a rough inclined plane

A
The hollow sphere reaches the bottom first
✓
The solid sphere reaches the bottom with greater speed
C
The solid sphere reaches the bottom with greater kinetic energy
D
The two spheres will reach the bottom with same linear momentum

✓

Answer

Correct option: B.

The solid sphere reaches the bottom with greater speed

b
$v=\sqrt{\frac{2 g h}{1+\frac{k^{2}}{r^{2}}}}$ solid sphere reaches with larger

speed since potential energy converted into kinetic energy so kinetic energy of both at bottom will be same since solid sphere has larger velocity so its momentum will be larger.

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