A body moves a distance of 10 m 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

Question

A body moves a distance of 10 m 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 (A) 0° (B) 30° (C) 60° (D) None of these

Tardigrade Admin · Accepted Answer

Work done, W=F d cos θ 25=10 × 10 cos θ cos θ=(1/4) ⇒ θ= cos -1((1/4))

Q. A body moves a distance of $10 m$ 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

$0^{\circ}$

$3 0^{\circ}$

$6 0^{\circ}$

None of these

Work done, $W = F d cos θ$
$25 = 10 \times 10 cos θ$
$cos θ = \frac{1}{4}$
$\Rightarrow θ = cos^{- 1} (\frac{1}{4})$

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

0∘

30∘

60∘