Answer to Question #142877 in Mechanics | Relativity for Joe

Question

A 1000kg rocket in space applies 150000000 n of force in the negative direction. A) find the acceleration of the rocket. B) identify the direction of the acceleration

Answer 1

As per the given question,

Mass of the rocket $(m)=1000kg$

Force applied by the rockets $(F)=150000000 N$

gravitational acceleration acting on the rocket $(g) =9.8 m/s^2$

Let the resultant acceleration of the rocket is a, and weight of the rocket is working vertically downwards,

a) $ma=F-mg$

Substituting the values,

$a=\frac{F-mg}{m}$

$\Rightarrow a = \frac{150000000-1000\times 9.8}{1000}m/s^2$

$\Rightarrow a = \frac{149990200}{1000}m/s^2$

$\Rightarrow a=149990.2 m/s^2$

direction of the acceleration will be oppsite to the gravity, means in positive direction.