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 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
the speed of the boat

the mass of the boat

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

In a graph of acceleration versus net force, the slope of the graph 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 this 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 rise over run or \( \frac{a}{F} \)) reflects the inverse of the mass of the boat.

So, the correct response is: **the inverse of the mass of the boat.**