Questions

The gravitational potential energy in a region of space is given by $\mathrm{U}(\mathrm{x},\mathrm{y})=-3{\mathrm{x}}^{2}\mathrm{y}+\mathrm{xy}$. Find the acceleration of a particle of mass 100g at (1,2)

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a

(100i^−20j^)m/s2

b

(100i^+10j^)m/s2

c

(100i^+20j^)m/s2

d

zero

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detailed solution

Correct option is A

Fx=−∂U∂x,Fy=−∂U∂y ax=Fxm=100m/s2ay=Fym=20m/s2

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The masses, each of mass m are kept on the vertices of an equilateral triangle of side a. Find the work needed to be done to change the length of the triangle twice of its original value.

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