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- Homework Statement
- I am trying to solve the given question based on energy conservation,but am stuck with the analysis of the equations.

The question says find the velocity of the bigger block when the smaller block initially given a velocity v and sliding on the horizontal part of the bigger block reaches the top of the bigger block of height h.All surfaces are frictionless.

- Relevant Equations
- using conservation of energy,

we get 1/2 mv2 = 1/2 mvx2 + 1/2 mvy2 + 1/2 Mvx2,where vx is the common horizontal velocity of the blocks and vy the verical velocity of the smaller block when it reaches the top of the bigger block.

I am trying to solve the given question based on energy conservation,but am stuck with the analysis of the equations.

The question says find the velocity of the bigger block when the smaller block initially given a velocity v and sliding on the horizontal part of the bigger block reaches the top of the bigger block of height h.All surfaces are frictionless.

using conservation of energy,

we get 1/2 mv2 = 1/2 mvx2 + 1/2 mvy2 + 1/2 Mvx2,where vx is the common horizontal velocity of the blocks and vy the verical velocity of the smaller block when it reaches the top of the bigger block.

My concern is while using energy conservation to the system of the two blocks,

can we get the same equation using work energy theorem (WET) to individual blocks and finally adding them.

While using WET to the individual blocks,I am unable to write the equations for the works of the normal reactions between the blocks in the curved parts as the normal reaction vanishes on the vertical portion and not getting how the works will be canceled to give the required equation.

The question says find the velocity of the bigger block when the smaller block initially given a velocity v and sliding on the horizontal part of the bigger block reaches the top of the bigger block of height h.All surfaces are frictionless.

using conservation of energy,

we get 1/2 mv2 = 1/2 mvx2 + 1/2 mvy2 + 1/2 Mvx2,where vx is the common horizontal velocity of the blocks and vy the verical velocity of the smaller block when it reaches the top of the bigger block.

My concern is while using energy conservation to the system of the two blocks,

can we get the same equation using work energy theorem (WET) to individual blocks and finally adding them.

While using WET to the individual blocks,I am unable to write the equations for the works of the normal reactions between the blocks in the curved parts as the normal reaction vanishes on the vertical portion and not getting how the works will be canceled to give the required equation.