A closed circular tube of average radius 15 cm , whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m s - 1 , when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is ________ J . (Given g = 10 m s - 2 ).

Question

A closed circular tube of average radius 15 cm , whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m s - 1 , when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is ________ J . (Given g = 10 m s - 2 ).,

MARKS App · Accepted Answer

The data given is r = 15 cm m = 1 kg v = 22 m s - 1 Total work done by the tube on the block is equal to loss in mechanical energy, w = 1 2 m v 2 + m g h ⇒ w = 1 2 × 1 × 22 2 + 1 × 10 × 0 . 3 ⇒ w = 245 J

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