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?

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

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 44A

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Question

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

p = mv

K = ¹/₂mv² = ¹/₂pv = p²/2m

In terms of the dot product: v² = v⋅v, p² = p⋅p, and pv = p⋅v.

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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