The force (F)-extension (Δ l), graph shows that the strain energy stored in the material under test, for an extension of 4 mm, is greater than which of the following values?

Question

The force (F)-extension (Δ l), graph shows that the strain energy stored in the material under test, for an extension of 4 mm, is greater than which of the following values? (A) 80 mJ (B) 60 mJ (C) 40 mJ (D) None of these

Tardigrade Admin · Accepted Answer

Area under the curve represents strain energy stored and it is greater than 40 mJ. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a503ca0b14b438ea5d2a6b8c4e824934-.png" /> Area under curve (straight line) =(1/2) ⋅ F ⋅ Δ l =(1/2) ⋅(20) ⋅(4 × 10-3) J=40 mJ

Q. The force $(F)$ -extension $(Δ l)$ , graph shows that the strain energy stored in the material under test, for an extension of $4 mm$ , is greater than which of the following values?

80 mJ

60 mJ

40 mJ

None of these

Area under the curve represents strain energy stored and it is greater than $40 m J$ .

Area under curve (straight line)
$= \frac{1}{2} \cdot F \cdot Δ l$
$= \frac{1}{2} \cdot (20) \cdot (4 \times 1 0^{- 3}) J = 40 m J$

Q. The force (F)-extension (Δl), graph shows that the strain energy stored in the material under test, for an extension of 4mm, is greater than which of the following values?