Force, Mass and Acceleration Quick Check

3 of 53 of 5 Items
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

1 answer

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.