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 inverse of the mass
the inverse of the mass
the mass
the mass
zero
zero
the velocity
Responses
the inverse of the mass
the inverse of the mass
the mass
the mass
zero
zero
the velocity
Answers
GPT-4o mini
In the context of a graph plotting the force exerted by the motors (on the y-axis) against the acceleration of the motorboats (on the x-axis), according to Newton's second law of motion (F = ma), the relationship can be expressed as:
\[ F = ma \]
When plotted, this linear equation shows that:
- The slope of the graph represents the mass (m).
- If we rearrange the equation, it does not include a constant term; hence, when acceleration (a) is zero, force (F) is also zero.
Since there is no additional constant term in this linear relationship, the y-intercept of this graph will be:
**zero**
So the correct response is:
**zero**.
\[ F = ma \]
When plotted, this linear equation shows that:
- The slope of the graph represents the mass (m).
- If we rearrange the equation, it does not include a constant term; hence, when acceleration (a) is zero, force (F) is also zero.
Since there is no additional constant term in this linear relationship, the y-intercept of this graph will be:
**zero**
So the correct response is:
**zero**.