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We know that the mass of the bagged lunch is m = 1.40 kg and the mass of the astronaut is M = 67.0 kg. Before the collision, the bagged lunch moves with a velocity of vi = 1.60 m/s in the positive x-direction and the astronaut is at rest relative to the space station with velocity Vi = 0.         MVi + mvi = MVf + mvf to obtain (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (67.0 kg)Vf + (1.40 kg)vf. Because vf = Vf, this further simplifies to (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (1.40 kg + 67.0 kg)Vf.            What is the velocity of the astronaut after the collision?

We know that the mass of the bagged lunch is m = 1.40 kg and the mass of the astronaut is M = 67.0 kg. Before the collision, the bagged lunch moves with a velocity of vi = 1.60 m/s in the positive x-direction and the astronaut is at rest relative to the space station with velocity Vi = 0.         MVi + mvi = MVf + mvf to obtain (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (67.0 kg)Vf + (1.40 kg)vf. Because vf = Vf, this further simplifies to (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (1.40 kg + 67.0 kg)Vf.            What is the velocity of the astronaut after the collision?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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We know that the mass of the bagged lunch is

m = 1.40 kg

and the mass of the astronaut is

M = 67.0 kg.

Before the collision, the bagged lunch moves with a velocity of

vi = 1.60 m/s

in the positive x-direction and the astronaut is at rest relative to the space station with velocity

Vi = 0.
 
 
 
 
MVi + mvi = MVf + mvf
to obtain
(67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (67.0 kg)Vf + (1.40 kg)vf.
Because
vf = Vf,
this further simplifies to
(67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (1.40 kg + 67.0 kg)Vf.
           What is the velocity of the astronaut after the collision?
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