Question
Five motorboats are being tested to see which reaches the highest velocity in the same amount of time.
After graphing the acceleration versus force for each motorboat, the graph is a sloped line with a y-intercept of zero. Which statement is correct about these motorboats? (1 point)
All five motorboats have the same final velocity, which cannot be calculated from the graph.
All five motorboats have the same final velocity, which can be calculated from the graph.
All five motorboats have the same mass, which can be calculated from the graph.
All five motorboats have the same mass, which cannot be calculated from the graph.
After graphing the acceleration versus force for each motorboat, the graph is a sloped line with a y-intercept of zero. Which statement is correct about these motorboats? (1 point)
All five motorboats have the same final velocity, which cannot be calculated from the graph.
All five motorboats have the same final velocity, which can be calculated from the graph.
All five motorboats have the same mass, which can be calculated from the graph.
All five motorboats have the same mass, which cannot be calculated from the graph.
Answers
GPT-4o mini
The correct statement is:
**All five motorboats have the same mass, which can be calculated from the graph.**
Here's the reasoning: The graph of acceleration (a) versus force (F) with a slope indicates a linear relationship, which signifies Newton's second law of motion, \( F = ma \) (where m is mass). Since the graph has a slope, it indicates that the acceleration is directly proportional to the force applied for each motorboat, which means all the motorboats must have the same mass for the line to remain consistent (as mass is the proportionality factor in this relationship). Since the y-intercept is zero, it indicates that the relationship also holds true at no force applied, reinforcing that mass remains the same across all motorboats.
**All five motorboats have the same mass, which can be calculated from the graph.**
Here's the reasoning: The graph of acceleration (a) versus force (F) with a slope indicates a linear relationship, which signifies Newton's second law of motion, \( F = ma \) (where m is mass). Since the graph has a slope, it indicates that the acceleration is directly proportional to the force applied for each motorboat, which means all the motorboats must have the same mass for the line to remain consistent (as mass is the proportionality factor in this relationship). Since the y-intercept is zero, it indicates that the relationship also holds true at no force applied, reinforcing that mass remains the same across all motorboats.