Force, Mass and Acceleration Quick Check

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Question
Different amounts of force are applied to the same boat over several trials, and the acceleration is measured. In a graph of acceleration versus net force, what does the slope of the graph represent? (1 point)
Responses

the inverse of the speed of the boat
the inverse of the speed of the boat

the speed of the boat
the speed of the boat

the inverse of the mass of the boat
the inverse of the mass of the boat

the mass of the boat

1 answer

In a graph of acceleration versus net force, the slope represents the inverse of the mass of the boat. This is based on Newton's second law of motion, which states that \( F = ma \) (force equals mass times acceleration). Rearranging the equation, you can express acceleration as \( a = \frac{F}{m} \). Thus, if you plot force (F) on the x-axis and acceleration (a) on the y-axis, the slope of the graph (change in acceleration/change in force) will equal the inverse of mass (\( \frac{1}{m} \)).

Therefore, the correct answer is:

the inverse of the mass of the boat.