Newton's Laws Unit Test
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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 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 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 correct statement is: The motor in rocket A is twice as powerful as the motor in rocket B.
To answer this question, we need to understand the relationship between mass, acceleration, and force. According to Newton's second law of motion, force is equal to mass multiplied by acceleration, or F = ma.
In this scenario, both rockets have the same mass, which means that the mass term (m) in the equation is the same for both rockets. Rocket A accelerates twice as quickly as Rocket B. Let's represent the acceleration of Rocket B as a, so the acceleration of Rocket A would be 2a.
Now, let's consider the force (F) acting on each rocket. According to Newton's second law, the force is directly proportional to acceleration. Since Rocket A accelerates twice as quickly as Rocket B, it means that the force acting on Rocket A is also twice as much as Rocket B. So, we can represent the force acting on Rocket B as Fa and the force acting on Rocket A as 2Fa.
To summarize, the force acting on Rocket A (2Fa) is twice as much as the force acting on Rocket B (Fa). Therefore, the correct statement is: "The motor in rocket A is twice as powerful as the motor in rocket B."