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The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle's speed at x = 3.0 m is 5.5 m/s. A.)Calculate the mechanical energy of the particle (in J) using the origin as the reference point. B.)Calculate the mechanical energy of the particle (in J) using x = 5.0 m as the reference point. C.)Find the particle's speed (in m/s) at x = 2.0 m, using the origin as the reference point. D.)Find the particle's speed (in m/s) at x = 2.0 m, using x = 5.0 m as the reference point

The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle's speed at x = 3.0 m is 5.5 m/s. A.)Calculate the mechanical energy of the particle (in J) using the origin as the reference point. B.)Calculate the mechanical energy of the particle (in J) using x = 5.0 m as the reference point. C.)Find the particle's speed (in m/s) at x = 2.0 m, using the origin as the reference point. D.)Find the particle's speed (in m/s) at x = 2.0 m, using x = 5.0 m as the reference point

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 48P: The force on a particle of mass 2.0 kg varies with position according to F(x)=3.0x2 (x in meters,...
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The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle's speed at x = 3.0 m is 5.5 m/s.

A.)Calculate the mechanical energy of the particle (in J) using the origin as the reference point.

B.)Calculate the mechanical energy of the particle (in J) using x = 5.0 m as the reference point.

C.)Find the particle's speed (in m/s) at x = 2.0 m, using the origin as the reference point.

D.)Find the particle's speed (in m/s) at x = 2.0 m, using x = 5.0 m as the reference point.

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