Question
Three unbalanced forces were exerted on two blocks, denoted as A and B. The graphs illustrate the applied force and the acceleration for each of the two blocks.
Which statement most accurately characterizes the masses of block A and block B?
(1 point)
Responses
Block A has a quarter as much mass as block B.
Block A has a quarter as much mass as block B.
Block A has twice as much mass as block B.
Block A has twice as much mass as block B.
Block A has four times as much mass as block B.
Block A has four times as much mass as block B.
Block A has half as much mass as block B.
Block A has half as much mass as block B.
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Which statement most accurately characterizes the masses of block A and block B?
(1 point)
Responses
Block A has a quarter as much mass as block B.
Block A has a quarter as much mass as block B.
Block A has twice as much mass as block B.
Block A has twice as much mass as block B.
Block A has four times as much mass as block B.
Block A has four times as much mass as block B.
Block A has half as much mass as block B.
Block A has half as much mass as block B.
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Answers
GPT-4o mini
To determine the relationship between the masses of block A and block B based on the graphs of applied force and acceleration, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.
From the graphs, we would typically look at the applied forces and the corresponding accelerations for each block. The ratio of force to acceleration can reveal the mass relationship:
1. Calculate the mass of each block from the graphs using \( m = \frac{F}{a} \).
2. If \( m_A \) is the mass of block A and \( m_B \) is the mass of block B, you can compare \( \frac{F_A}{a_A} \) with \( \frac{F_B}{a_B} \) to determine the relative masses.
If, for instance, the values indicate that the mass of block A is half that of block B, then the statement "Block A has half as much mass as block B." would be accurate.
Since I do not have access to the specific force and acceleration values from the graphs, you will need to analyze the graphs with the above principles in mind to choose the correct statement.
From the graphs, we would typically look at the applied forces and the corresponding accelerations for each block. The ratio of force to acceleration can reveal the mass relationship:
1. Calculate the mass of each block from the graphs using \( m = \frac{F}{a} \).
2. If \( m_A \) is the mass of block A and \( m_B \) is the mass of block B, you can compare \( \frac{F_A}{a_A} \) with \( \frac{F_B}{a_B} \) to determine the relative masses.
If, for instance, the values indicate that the mass of block A is half that of block B, then the statement "Block A has half as much mass as block B." would be accurate.
Since I do not have access to the specific force and acceleration values from the graphs, you will need to analyze the graphs with the above principles in mind to choose the correct statement.