Ballistic Pendulum Puzzle

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

If mb=10.0 gm_{b}=10.0 \text{ g} (the mass of the bullet),
mw=4.00 kgm_{w}=4.00\text{ kg} (the mass of the weight),
and y=4.00 cmy=4.00\text{ cm} (the maximum height of block's swing),
find v1v_{1}, the initial velocity of the bullet in meters per second.

Details and Assumptions

  • Take gg as 9.81ms29.81 \text{ms}^{-2}.
  • Give your answer to 3 significant figures.

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