Question 3An experiment measures the acceleration of an object of known mass subject to a known net force. The experiment is then repeated while varying the mass and the net force. The table below summarizes the conditions used in each trial.Trial Mass Net Force1 doubled doubled2 halved unchanged3 doubled unchanged4 halved doubledRank the accelerations measured in each trial from largest to smallest.
Question
Question 3An experiment measures the acceleration of an object of known mass subject to a known net force. The experiment is then repeated while varying the mass and the net force. The table below summarizes the conditions used in each trial.Trial Mass Net Force1 doubled doubled2 halved unchanged3 doubled unchanged4 halved doubledRank the accelerations measured in each trial from largest to smallest.
Solution
The acceleration of an object is given by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be expressed as a = F/m, where a is acceleration, F is net force, and m is mass.
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Trial 1: The mass and net force are both doubled. According to the formula, the acceleration remains the same because the increase in force is offset by the increase in mass.
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Trial 2: The mass is halved while the net force remains unchanged. This means the acceleration is doubled because the force is acting on a smaller mass.
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Trial 3: The mass is doubled while the net force remains unchanged. This means the acceleration is halved because the same force is acting on a larger mass.
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Trial 4: The mass is halved and the net force is doubled. This means the acceleration is quadrupled because the force is doubled and it's acting on a smaller mass.
So, the ranking of the accelerations from largest to smallest is: Trial 4 > Trial 2 > Trial 1 = Trial 3.
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