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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Work, Power and Energy

Olympiad workbook · NSEP · Work, Power and Energy

The potential energy of a particle of mass m in a conservative...

The potential energy of a particle of mass

m

in a conservative force field can be expressed as

U=\alpha x-\beta y

where

(x, y)

denote the position coordinates of the body. The acceleration of the body is

Options

A $\frac{\alpha-\beta}{m}$
B $\frac{\alpha+\beta}{m}$
C $\frac{\sqrt{\alpha^2-\beta^2}}{m}$
D $\frac{\sqrt{\alpha^2+\beta^2}}{m}$

Correct answer

D. $\frac{\sqrt{\alpha^2+\beta^2}}{m}$

Step-by-step solution

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