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 mass of the boat
the mass of the boat

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

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

the speed of the boat

1 answer

In a graph of acceleration versus net force, the slope represents the mass of the boat. This relationship is described by Newton's second law of motion, \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. Rearranging this equation gives \( a = \frac{F}{m} \), indicating that acceleration (a) is directly proportional to net force (F) and inversely proportional to mass (m). Therefore, the slope of the graph (which is \( \frac{a}{F} \)) would be \( \frac{1}{m} \), so if we are looking at the slope in terms of acceleration versus force, it directly indicates the mass of the boat.

Hence, the correct response is: the mass of the boat