A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from `60^@ "to" 30^@` at point B. The block is initially at rest at A. Assume that collisions between the block and the incline are totally inelastic

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is: ..

Options

A. `sqrt120 m//s`
B. `sqrt105 m//s`
C. `sqrt30 m//s`
D. `sqrt75 m//s`

Answer

B

Explanation

`v_(c )^(2) = v_(B)^(2) + 2g(h_(2) -h _(1)`
`rArr = v_(c ) = sqrt(45^(2) + 2 xx 10 xx 3) = sqrt(105) ms^(-1)`