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Name: A BB gun is fired at a cardboard box of mass m2 = 0.75 kg on a frictio
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Description: A BB gun is fired at a cardboard box of mass m2 = 0.75 kg on a frictionless surface. The BB has a mass of m1 = 0.0165 kg and travels at a velocity of v1 = 91 m/s. It is observed that the box is moving at a velocity of v2 = 0.17 m/s after the BB passe

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 23P

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A BB gun is fired at a cardboard box of mass m2 = 0.75 kg on a frictionless surface. The BB has a mass of m1 = 0.0165 kg and travels at a velocity of v1 = 91 m/s. It is observed that the box is moving at a velocity of v2 = 0.17 m/s after the BB passes through it.

(a) Write an expression for the magnitude of the BB's velocity as it exits the box vf.

vf = v1 - m2/m1 v2 ✔ Correct!

(b) What is the BB's final velocity v_f, in meters per second?

v_f =

(c) If the BB doesn't exit the box, what will the velocity of the box v'₂, be in meters per second?

***Please explain how to derive the equation (the answer to part a).

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