Ballistic Pendulum Puzzle

Classical Mechanics Level 3

A ballistic pendulum, as shown, is a system which can be used to measure the speed of a projectile.

If \(m_{b}=10.0 \text{ g}\) (the mass of the bullet),
\(m_{w}=4.00\text{ kg}\) (the mass of the weight),
and \(y=4.00\text{ cm}\) (the maximum height of block's swing),
find \(v_{1}\), the initial velocity of the bullet in meters per second.

Details and Assumptions

  • Take \(g\) as \(9.81 \text{ms}^{-2}\).
  • Give your answer to 3 significant figures.

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