Question

potential energy of a particle is given by u= 3x + 4y2 +5z2 . find the corresponding conservation force​

Answer 1

Answer:

The relation between conservative force and potential energy is ,

Force is the negative derivative of potential energy with respect to its position.

It means force increases as the distance deceases.

\mathds{F} = \frac{-dU}{dx} i \frac{-dU}{dy} j\frac{-dU}{dz} k\mathdsF=

dx

−dU

i

dy

−dU

j

dz

−dU

k (equation (1))

U = 3x + 4y² + 5z² (given)

On partially differentiating U with x, y and z.

We get,

\begin{gathered}\frac{-dU}{dx} = -3\\ \\\frac{-dU}{dy} = -8y \text{ and } \frac{-dU}{dz} = -10z\\\\\\\end{gathered}

dx

−dU

=−3

dy

−dU

=−8y and

dz

−dU

=−10z

Putting all the values in the formula of force,

We get

\begin{gathered}\textbf{\Large F = -3(i) -8y(j) -10z (k) }\\\end{gathered}

F = -3(i) -8y(j) -10z (k)

Answer 2

Answer:

IDK Faisal is zero oz CL of so it's drop is so it's so it's

Explanation:

kushal