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 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 inverse of the speed of the boat

1 answer

In a graph of acceleration versus net force, the slope of the graph represents the mass of the boat. This relationship is described by Newton's second law of motion, which states that force equals mass times acceleration (F = ma). When you rearrange this equation to solve for acceleration, you get a = F/m, indicating that acceleration is directly proportional to net force and inversely proportional to mass. Therefore, the slope of the graph (acceleration vs. net force) is equal to the inverse of the mass (1/m), but the more straightforward interpretation is that it represents mass itself when discussing the relationship in this context.

So the best response is:

the mass of the boat.