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. 5 N
• B. 15 N
• C. 10 N
• D. 20 N

Answer 1

The correct option is B 15 N

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