Question

The potential energy of a body of mass 5 kg is given by U=-4x-3y - 12z then find magnitude of acceleration of the particle.​

Answer 1

Answer:

The potential energy of a body of mass 5 kg is given by U=-4x-3y - 12z then find magnitude of acceleration of the particle.

Answer 2

Given:

1. The potential energy of body: U=-4x-3y - 12z
2. Mass of the body = 5 kg

To find:

1. The magnitude of the acceleration of the particle

Solution:

It is given to us that:

1. m=5kg
2. u=−7x+24y

We know that acceleration = force / mass

Fx = - du/dx = 7

Fy = du/dy = - 24

[F] = $\sqrt{7^{2} + (-24)^{2} }$ = $\sqrt{49 + 576}$ = 25

a = F/m = 25/5 = 5 m/s²

Thus, the acceleration of the given particle will be equal to 5 m/s²

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