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
zero
zero
the velocity
the velocity
the inverse of the mass
the inverse of the mass
the mass
the mass
Responses
zero
zero
the velocity
the velocity
the inverse of the mass
the inverse of the mass
the mass
the mass
Answers
GPT-4o mini
In the context of the experiment you described, the graph plotting forces against accelerations follows Newton's second law of motion, which states that \( F = ma \) (force equals mass times acceleration).
In this case, if you graph force (F) on the y-axis and acceleration (a) on the x-axis, the equation can be rearranged into the form of a line equation \( F = ma + 0 \). This indicates that when acceleration is zero (i.e., at the x-intercept), the force is also zero (y-intercept). Essentially, if you have no acceleration, there would be no net force acting on the boats.
Thus, the y-intercept of this graph, which represents the force when acceleration is zero, is:
**zero**
In this case, if you graph force (F) on the y-axis and acceleration (a) on the x-axis, the equation can be rearranged into the form of a line equation \( F = ma + 0 \). This indicates that when acceleration is zero (i.e., at the x-intercept), the force is also zero (y-intercept). Essentially, if you have no acceleration, there would be no net force acting on the boats.
Thus, the y-intercept of this graph, which represents the force when acceleration is zero, is:
**zero**