Question

If the unit of power is $1$ kilo watt, the displacement is $100$ m and time $1$ s, then the unit of mass will be?

• A. $10$ kg
• B. ${10}^{-1}$ kg
• C. $100$ kg
• D. ${10}^{-2}$ kg

Answer 1

The correct option is A $10$ kg

Given Power=1 kilowatt=1000 watt, length= 100 m and time =1 s

We know power$=\frac{\text{Work done}}{\text{Time}}=\frac{\text{Force}\times \text{displacement}}{\text{Time}}\text{Force}=10\text{N}$

Also we know Force= mass$\times$acceleration.

Considering acceleration to be 1 m/${\text{s}}^2$

Mass= 10 Kg