A rocket with mass 20000kg is launched straight upwards. the rocket experience an average drag force ( air resistance ) of 15000 N. What thrust force will be necessary for the rocket to maintain an acceleration of 4.5m/s square upwards?
To determine the necessary thrust force, we need to consider the forces acting on the rocket. In this case, there are two forces involved: the thrust force provided by the rocket engine and the drag force due to air resistance.
1. First, let's calculate the net force acting on the rocket. The net force is given by the equation:
Net force = Thrust force - Drag force
We want the rocket to maintain an acceleration of 4.5 m/s^2 upwards. Since the acceleration is in the opposite direction to the drag force, we need to subtract the drag force from the total force:
Net force = m * acceleration - Drag force
Here, m is the mass of the rocket, which is 20000 kg, and the acceleration is given as 4.5 m/s^2.
Net force = (20000 kg) * (4.5 m/s^2) - 15000 N
2. Next, we can substitute the given values into the equation:
Net force = (20000 kg) * (4.5 m/s^2) - 15000 N
= 90000 kg·m/s^2 - 15000 N
= 90000 N - 15000 N
= 75000 N
3. Finally, since the net force is the difference between the thrust force and drag force, we can set up the equation:
Thrust force - Drag force = Net force
Thrust force - 15000 N = 75000 N
Solving for Thrust force:
Thrust force = 75000 N + 15000 N
= 90000 N
Therefore, to maintain an acceleration of 4.5 m/s^2 upwards while experiencing a drag force of 15000 N, a thrust force of 90000 N will be necessary for the rocket.