Question

A horizontal force of $500N$ pulls two masses $10kg$ and $20kg$ connected by a light string and placed on a frictionless horizontal table. What is the tension in the string if the force is applied on the $20kg$ mass?

• A. $333.3N$
• B. $166.7N$
• C. $233.3N$
• D. $217N$

Answer 1

The correct option is B $166.7N$

The acceleration of the system is,

$a_{system}=\left(\frac{500}{10+20}\right)m/s^2$

Tension in the string if force is applied on $20Kg$ mass,

$T=\left(10\times \frac{50}{3}\right)N$

$=\frac{500}{3}N$

$=166.7N$