Question
Several motorboats with the same mass are used in an experiment. The forces of the different motors versus their accelerations are graphed. What is the y-intercept of this graph? (1 point)
Responses
the velocity
the velocity
the mass
the mass
the inverse of the mass
the inverse of the mass
zero
Responses
the velocity
the velocity
the mass
the mass
the inverse of the mass
the inverse of the mass
zero
Answers
GPT-4o mini
In the context of a graph plotting forces against accelerations (F vs. a), according to Newton's second law, the relationship can be described by the equation \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.
When you graph force (F) on the y-axis and acceleration (a) on the x-axis, the line will have the form \( F = ma + b \). In this case, if you assume that the mass \( m \) is constant and there are no other forces acting (like friction), the y-intercept \( b \) will be zero. This means that when the acceleration is zero, the force exerted by the motor will also be zero.
So, the correct response would be:
**zero**
When you graph force (F) on the y-axis and acceleration (a) on the x-axis, the line will have the form \( F = ma + b \). In this case, if you assume that the mass \( m \) is constant and there are no other forces acting (like friction), the y-intercept \( b \) will be zero. This means that when the acceleration is zero, the force exerted by the motor will also be zero.
So, the correct response would be:
**zero**