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Most Important Selected Qs for JEE AdvancedPhysicsCenter of Mass, Momentum and Collision

A canon of mass M is mounted on an east west frictionless railway track. The barrel of cannon faces the north east direction at an angle of 45^ with the vertical. The canon fires a shot of mass M with a speed V relative to the barrel.

Options

  1. AThe recoil speed of the cannon will be V/4
  2. BThe speed of the shot as seen from the ground will be 13 4 ~V .
  3. CThe momentum of the shot + canon system will remain conserved along the east west line.
  4. DThe momentum of the shot plus canon system will remain conserved along the North South line.

Correct answer

C. The momentum of the shot + canon system will remain conserved along the east west line.

Step-by-step solution

Conserving momentum along the east west line aligned & M ( vos ^2 45- v ₀ )=M v₀ & 2 M V₀=M V ^2 45^ & v₀=V / 4 aligned Vertical speed = v 2 North speed = v ^2 45^ = v 2 East speed = V 2 - V 4 = V 4 Speed from ground =v 1 2 + 1 4 + 1 16 =v 13 16

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