what law is it when gravity pushes down on a rocket that is accelerating at a rate of 270 km/h

The law governing the force of gravity on an object is known as Newton's Law of Universal Gravitation. However, the situation you mentioned involves not just gravity, but also the acceleration of the rocket. To understand this phenomenon, we need to consider Newton's second law of motion, which explains how the motion of an object is related to the forces acting upon it.

Newton's second law of motion states that the net force acting on an object is equal to its mass multiplied by its acceleration. Mathematically, it can be expressed as:

F = m * a

Where:
F is the net force acting on the object,
m is the mass of the object, and
a is the acceleration of the object.

In the case of the rocket, it is experiencing two forces: the force due to gravity (weight) and the force propelling it forward (thrust). Assuming the rocket is moving vertically, the weight force due to gravity acts downward, while the thrust force acts opposite to the direction of gravity (upward) to accelerate the rocket.

When the rocket is accelerating at a rate of 270 km/h, we need to convert this velocity to meters per second (m/s) to match the standard unit of acceleration (m/s²). Let's say the conversion factor is 1 km/h = 0.2778 m/s.

So, the acceleration of the rocket (a) would be 270 km/h * 0.2778 m/s = 75 m/s².

Now, to determine the net force acting on the rocket, we need additional information such as the mass of the rocket and the thrust force it generates. With that information, we can apply Newton's second law (F = m * a) to calculate the force acting on the rocket.

In summary, the law relevant to this situation is Newton's second law of motion (F = m * a). It explains how the net force acting on an object, such as a rocket, is related to its mass and acceleration. To determine the specific force acting on the rocket, you would need to know its mass and thrust force, along with the acceleration it is experiencing.