Question

A force of 10 N displaces an object through 20 cm and does work of 1 Joule in the process.Find the angle between the force and the displacement.

Answer 1

Given that:

• Force = 10 N
• Distance = 20 cm
• Work done = 1 Joule

Need to find:

• Angle between the force and the displacement = ?

Solution:

The Formula to find the angle between the force and the displacement —

${\qquad}{\bigstar{\boxed{\sf{w = fd cos \theta}}}}$

According to the question —

$\sf \implies \: 1 = 10 \times 20 \times cos \theta \\ \\ \sf \implies \: 1 = 10 \times 0.2 m \times cos \theta \\ \\ \sf \implies \: cos \theta = \frac{1}{2} \\ \\ \sf \implies \theta = 60 \degree$

Hence,the angle between the force and the displacement is 60$\degree$