Question

A body moves a distance of 10m under the action of force F = 10 N .if the work done is 25 j , the angle which the force makes with the direction of motion is ​

Answer 1

Explanation:

We have,

S = 10 m.

F = 10 N.

And, W = 25 J.

now,

W = FS cos ∅ .

==> 25 = 10 × 10 × cos ∅ .

==> cos ∅ = 25/100 = 1/4 .

•°• ∅ = cos^(-1) 1/4 .

Answer 2

Concept:

The energy that is added to or subtracted from an object by applying force along a displacement is referred to as work. In its simplest form, it is typically explained as the outcome of force and displacement.

Given:

10 N of force causes a body to move 10 m. The work done by the body is 25 joules.

Find:

The angle by which the force makes with the direction of motion.

Solution:

The work done by the body is W = 25 J

The body moves a distance, S = 10m

The force acting on the body is F = 10 N

The formula for the work done by the body is given as:

W = FS cos(θ)

25 = (10)(10) cos(θ)

$cos(\theta)=\frac{25}{100}$

$cos(\theta)=\frac{1}{4}$

$\theta=cos^{-1}(\frac{1}{4})$

The force makes an angle with the direction of motion that is $\theta=cos^{-1}(\frac{1}{4})$.

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