The same motor is used in rockets with different masses the Rockets have different accelerations according to Newton’s second law how is acceleration expected to change as the rocket mass increases
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The equation can be stated as:
F = ma
Where:
F = net force
m = mass
a = acceleration
In this case, if the same motor is used in rockets with different masses, the net force provided by the motor will be constant. As the mass of the rocket increases, the acceleration is expected to decrease.
This can be understood by rearranging the equation:
a = F/m
As the mass (m) increases, the acceleration (a) will decrease, as the force (F) remains constant. This means that a heavier rocket will experience less acceleration compared to a lighter rocket, assuming they are using the same motor.