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The kinetic energy K, in joules, provided by the mass of a particle m,

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The kinetic energy K, in joules, provided by the mass of a particle m,  [#permalink]

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New post 24 Dec 2018, 12:10
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The kinetic energy K, in joules, provided by the mass of a particle m, in kilograms, with a velocity of v meters per seconds, is given by the equation K = \(\frac{1}{2}\)\(mv^2\). If a particle had a velocity of 4 meters per second and a kinetic energy of 144 joules, then the mass, in kilograms, of this particle must be

A. 16
B. 18
C. 24
D. 44
E. 64

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 307

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Re: The kinetic energy K, in joules, provided by the mass of a particle m,  [#permalink]

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New post 24 Dec 2018, 12:26
SajjadAhmad wrote:
The kinetic energy K, in joules, provided by the mass of a particle m, in kilograms, with a velocity of v meters per seconds, is given by the equation K = \(\frac{1}{2}\)\(mv^2\). If a particle had a velocity of 4 meters per second and a kinetic energy of 144 joules, then the mass, in kilograms, of this particle must be

A. 16
B. 18
C. 24
D. 44
E. 64

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 307

Rearrange the equation:
m=2k/\(v^2\).
Substitute:
m=2*144/16=18
Ans B
This seems to be a sub-600 question.
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Re: The kinetic energy K, in joules, provided by the mass of a particle m,   [#permalink] 24 Dec 2018, 12:26
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