A 7-kg particle goes 96 m/s.  Calculate its momentum in kg*m/s.  (This requires an exact answer.) 2) A 7-kg particle's momentum is (392, 61) kg*m/s.  Calculate its kinetic energy. 3) A pebble and a grapefruit have the same momentum.  Which has the greater kinetic energy?

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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Just a little something on momentum and kinetic energy.  As a reminder, momentum is a vector and:

p = mv

K = 1/mv2 = 1/pv = p2/2m

In terms of the dot product: v2 = vv, p2 = pp, and pv = pv.

Unlike speed vs. velocity, but like all other vectors, momentum may refer to the magnitude of the momentum vector. 

Now, answers the following questions:

1) A 7-kg particle goes 96 m/s.  Calculate its momentum in kg*m/s.  (This requires an exact answer.)

2) A 7-kg particle's momentum is (392, 61) kg*m/s.  Calculate its kinetic energy.

3) A pebble and a grapefruit have the same momentum.  Which has the greater kinetic energy?

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