Question

Two rockets with the same mass are accelerated. Rocket A accelerates twice as quickly as rocket B. Which statement is correct?



(1 point)
Responses

The motor in rocket A is twice as powerful as the motor in rocket B.
The motor in rocket A is twice as powerful as the motor in rocket B.

The motor in rocket A is half as powerful as the motor in rocket B.
The motor in rocket A is half as powerful as the motor in rocket B.

The motor in rocket A is four times as powerful as the motor in rocket B.
The motor in rocket A is four times as powerful as the motor in rocket B.

The motor in rocket A is half as powerful as the motor in rocket B.

Answer 1

You cannot answer from acceleration alone. aA = 2 aB implies FA = 2 FB (same mass), but power P = Fv. So at a given speed v, PA = 2PB. However at different speeds the power ratio depends on their velocities. Only if they have the same velocity is rocket A’s motor twice as powerful.