Question

A rocket with a lift of mass 20000 kg is blasted upwards with an initial acceleration of 5m/s. Calculate the initial thrust of the blast?​

Answer 1

Mass of rocket, m = 20, 000 kg

Initial acceleration, a = $\tt 5m/sec^{2}$

g = $\tt 10m /sec^{2}$

Using Newton's second law of motion, the net force (thrust) acting on the rocket is given as,

(According to Newton's second law of motion, acceleration of an object is directly related to the net force and inversely related to its mass)

F = mg + ma = m(a+g) = 20000(10+5) = 20000 $\times$ 15 =  $\tt 3 \times 10^{5} N$

$\tt F = \boxed{\tt{3 \times 10^{5}N }}$

Answer 2

Answer:

• $\sf{3 \times 10^{5} N}$

Step-by-step explanation:

${\underline{\underline{\sf{\red{{\bigstar}\:\:\:Given:-}}}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\green{ Mass\: of\: the \:rocket\:(m) = 20,000 kg}\\\tiny\:\:\:\:\bullet\:\:\:\sf\orange{Initial \ acceleration \ (a) = 5m/s^{2}}\\\tiny\:\:\:\:\bullet\:\:\:\sf\blue{Acceleration \: due \: to \: gravity \:(g) = 10m/s^{2}}$

${\underline{\underline{\sf{\orange{{\bigstar}\:\:\:ToFind:-}}}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\red{Initial\: thrust\: (force) \:of \:the \:blast.}$

${\underline{\underline{\sf{\blue{{\bigstar}\:\:\: Solution:-}}}}}$

$\star\:{\underline{\mathfrak{\purple{Using\: Newton's\: second\: law\: of\: motion}}}}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{F - mg = ma }$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{F = m(g+a)}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{F = 20000 \times (10 + 5) N}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{F = 3 \times 10^{5} N}$