Question

The initial mass of rocket is 6000 long ejected mass of constant rate of 16 Kg/s with constant relative speed of 11 K/m what is the acceleration after blast neglect the gravity

Answer 1

Given that,

Initial mass$m=6000kg$

$\frac{dm}{dt}=16kg/s$

Time $t=60s$

Now, in one minute mass left

$m=m_0-\left(\frac{dm}{dt}\right)t$

$m=6000-\times 16\times 60$

$m=5040kg$

Now,

$F=u\times \frac{dm}{dt}$

$F=11\times {10}^3\times 16$

$ma=176\times {10}^3$

$a=\frac{176\times {10}^3}{5040}$

$a=0.0349\times {10}^3$

$a=34.9m/s^2$

Hence, the acceleration is $34.9m/s^2$