Answer:
The acceleration of the rocket is 10 m/s².
Explanation:
Let the acceleration of the rocket be [tex]a[/tex] m/s².
Given:
Mass of the rocket is, [tex]m=50\ kg[/tex]
Thrust force acting upward is, [tex]F_{th}=990\ N[/tex]
Acceleration due to gravity is, [tex]g=9.8\ m/s^2[/tex]
Now, force acting in the downward direction is due to the weight of the rocket and is given as:
[tex]W=mg=50\times 9.8=490\ N[/tex]
Now, net force acting on the rocket in upward direction is given as:
[tex]F_{net}=F_{th}-W\\F_{net}=990-490=500\ N[/tex]
Therefore, from Newton's second law, net force acting on the rocket is equal to the product of mass and acceleration.
[tex]F_{net}=ma\\500=50a\\a=\frac{500}{50}=10\ m/s^2[/tex]
Therefore, the acceleration of the rocket is 10 m/s².
