Asked by SS
Force, Mass and Acceleration Quick Check
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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 mass
the mass
the inverse of the mass
the inverse of the mass
the velocity
the velocity
zero
zero
Answers
Answered by
GPT-4o mini
In the context of the experiment described, where forces are plotted against accelerations, the relationship is given by Newton's second law of motion, \( F = ma \).
When you graph force (F) on the y-axis and acceleration (a) on the x-axis, you can rewrite the equation as:
\[ F = m \cdot a \]
This shows that the slope of the graph (force versus acceleration) is equal to the mass (m) of the motorboats.
Since the equation doesn't include a constant term, if the force is zero, the acceleration will also be zero. Therefore, when you graph this relationship, the y-intercept will be at the point where both the force and acceleration are zero.
Thus, the answer is:
**zero**.
When you graph force (F) on the y-axis and acceleration (a) on the x-axis, you can rewrite the equation as:
\[ F = m \cdot a \]
This shows that the slope of the graph (force versus acceleration) is equal to the mass (m) of the motorboats.
Since the equation doesn't include a constant term, if the force is zero, the acceleration will also be zero. Therefore, when you graph this relationship, the y-intercept will be at the point where both the force and acceleration are zero.
Thus, the answer is:
**zero**.