How much force does a 20000 kilograms rocket develop to accelerate 1 mass divided by speed squared?

Answer 1

In order to work on this question, we need to clean up the units. For acceleration,

we'll use the unit "meter per second2".

We'll also assume that the mission controllers want the rocket to accelerate upward.

(That'll make a difference.)

Gravity is already exerting a downward force on the rocket, which would produce a

downward acceleration of 9.8 meters per second2 if it were free to move downward.

That force is called the "weight" of the rocket, and any downward motion would be

described as "falling". (This has often been observed in the US space program.)

In order to accelerate it upward at the rate of 1 meter per second2, the engines

must completely cancel (balance) the downward force of gravity, PLUS add more

upward force.

The total force required is enough to produce upward acceleration of 10.8 meters per second2 ...

9.8 upward to cancel gravitational acceleration, plus one more to accelerate upward.

F = M A = (20,000) (10.8) = 216,000 newtons = about 48,620 pounds of force.

Answer 2

It has to counteract the force of gravity which is 9.8 mss so its acceleration it needs to produce is 10.8 mss * 20,000 kg = 201,600 Newtons (N).