Question

The mass of a spacecraft is 10^5 kg at rest. Find the force required by the boosters of the space craft to lift it at the velocity of 1,00,00,000 m^s in 1000 seconds

Answer 1

To find :

the force required by the boosters of the space craft to lift it at the velocity of 1 crore m/s in 1000 seconds.

Given :

• initial velocity, u = 0 m/s
• final velocity , v = 1,00,00,000 m/s
• mass of space craft = 10^5 kg
• time taken = 1000 s

Formula to be used :

• Force = mass × acceleration
• acceleration = (v-u)/t

Solution :

acceleration = (v-u)/t

$\longrightarrow \bold{a = \frac{(10000000 - 0)}{1000} } \\ \\ \longrightarrow \bold{a = \frac{10000000}{1000} } \\ \\\longrightarrow \boxed{ \bold{a = 10000m {s}^{ - 2} }}$

force = mass × acceleration

$\longrightarrow \bold{force = {10}^{5} kg \times 10000} \\ \longrightarrow \bold{force = {10}^{5} \times {10}^{4} } \\\longrightarrow \boxed{ \bold{force = {10}^{9}n }}$

hence, 10⁹ N force is required .