Question

Given below is a force-displacement graph. Calculate the force applied (in newtons) for a displacement of $10$ meters based on the given graph.
(Hint: Newton (N) is a unit of force and meter (m) is a unit of displacement.)

• A. $15N$
• B. $20N$
• C. $10N$
• D. $5N$

Answer 1

The correct option is A $15N$

Let’s consider points $(0,0)$ and $(4,6)$.

Rate at which the force is applied $=\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}=1.5N/m$

So, for a displacement of $1$ m, the force applied is $1.5N$.

Hence, for a displacement of $10$ m, force applied =
$1.5\times 10=15N$