As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.506)v after passing through the target. The collision is inelastic and during the collision, the amount of energy lost is equal to a fraction [(0.443)KEb Bc) of the kinetic energy of the bullet before the collision. Determine the mass Mof the target and the speed Vof the target the instant after the collision in terms of the mass mof the bullet and speed vof the bullet before the collision. (Express your answers to at least 3 decimals.) V= vM= m M M (a) Before collision (b) After collision

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As shown in the figure below, a bullet is fired at and passes through a piece of target paper
suspended by a massless string. The bullet has a mass m, a speed v before the collision with
the target, and a speed
(0.506)v
after passing through the target.
The collision is inelastic and during the collision, the amount of energy lost is equal to a
fraction
[(0.443)KEb Bc)
of the kinetic energy of the bullet before the collision. Determine the mass Mof the target and
the speed Vof the target the instant after the collision in terms of the mass mof the bullet and
speed vof the bullet before the collision. (Express your answers to at least 3 decimals.)
V= vM= m
M
M
(a) Before collision
(b) After collision
Transcribed Image Text:As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.506)v after passing through the target. The collision is inelastic and during the collision, the amount of energy lost is equal to a fraction [(0.443)KEb Bc) of the kinetic energy of the bullet before the collision. Determine the mass Mof the target and the speed Vof the target the instant after the collision in terms of the mass mof the bullet and speed vof the bullet before the collision. (Express your answers to at least 3 decimals.) V= vM= m M M (a) Before collision (b) After collision
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