Question

A force of 10N displaces an object through 20cm and does the work of 1J in the process. Find the angle between the force and displacement.

Answer 1

d=2/10m w=fdcos0 =10cos0.d cos0=10/20

0=1/2

0=60

Answer 2

The angle between the force and displacement is 60 degrees.

Explanation:

Given that,

Force acting on an object, F = 10 N

Displacement in the object, d = 20 cm = 0.2 m

Work done, W = 1 J

To find,

The angle between the force and displacement.

Solution,

We know that the work done by an object is given by the dot product of force and displacement. It is given by :

$W=Fd\ cos\theta$

$cos\theta=\dfrac{W}{Fd}$

$cos\theta=\dfrac{1}{10\times 0.2}$

$cos\theta=0.5$

$\theta=60^{\circ}$

So, the angle between the force and displacement is 60 degrees.

Learn more,

Work done

https://brainly.in/question/7503220