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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 vf, in meters per second?

vf

|

 
 

 (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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