Question

A 500N is force is applied on object and it moves with the velocity of 10 m/s. if the value of power is 2500 watt then what is the angle between force and displacement​

Answer 1

Given:

A 500N is force is applied on object and it moves with the velocity of 10 m/s. if the value of power is 2500 watt.

To find:

The angle between force and displacement?

Calculation:

We know that power can be calculated from the scalar product between force vector and velocity vector.

Let required angle be $\theta$:

$\therefore \: P = \vec{F} \: . \: \vec{v}$

$\implies\: P = | \vec{F}| \times | \vec{v} | \times \cos( \theta)$

$\implies\: 2500 = 500 \times 10\times \cos( \theta)$

$\implies\: 2500 = 5000\times \cos( \theta)$

$\implies\: \cos( \theta) = \dfrac{2500}{5000}$

$\implies\: \cos( \theta) = \dfrac{1}{2}$

$\implies\: \theta = {60}^{ \circ}$

So, angle between Force vector and Displacement is 60°.