A body moves from point A to B under the action of a force, varying in magnitude. What is the work done?

Question

A body moves from point A to B under the action of a force, varying in magnitude. What is the work done? <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/69d1d2b202e1ffe4b3b078434cd32f68-.png" /> (A) 22.5 J (B) 24 J (C) 20 J (D) 24.5 J

Tardigrade Admin · Accepted Answer

W = W 12+ W 23+ W 34+ W 45 (W = area under graph ) =10 × 1+[10 × 1+(5 × 1/2)]+(15 × 1/2)-(15 × 1/2) =10+10+2.5+7.5-7.5=22.5 J

Q. A body moves from point $A$ to $B$ under the action of a force, varying in magnitude. What is the work done?

$22.5 J$

$24 J$

$20 J$

$24.5 J$

$W = W_{12} + W_{23} + W_{34} + W_{45}$ (W = area under graph )
$= 10 \times 1 + [10 \times 1 + \frac{5 \times 1}{2}] + \frac{15 \times 1}{2} - \frac{15 \times 1}{2}$
$= 10 + 10 + 2.5 + 7.5 - 7.5 = 22.5 J$

Q. A body moves from point A to B under the action of a force, varying in magnitude. What is the work done?

22.5J

24J

20J

24.5J