Question

A rocket of initial mass $3000\text{kg}$ is burning fuel at the rate of $30\text{kg/s}$. Find the mass of the rocket after $10\text{s}$.

• A. $2700\text{kg}$
• B. $3300\text{kg}$
• C. $2000\text{kg}$
• D. $0\text{kg}$

Answer 1

The correct option is A $2700\text{kg}$

Given, initial mass $\left(m_0\right)=3000\text{kg}$
Rate of fuel burnt $\left(\mu \right)=30\text{kg/s}$
Then, mass at the end of $10\text{s},$
$m=m_0-\mu t$
$=3000-30\times 10$
$=2700\text{kg}$