Problem: Given the question: I have a new situation: Archimedes was a great scientist. He was also a great inventor of machines. He once said that if he could stand somewhere, he could move the earth with his machine. Hearing that, king of Sicily called Archimedes and his fellow scientist Ptolemy to come up with great inventions. Archimedes, as everyone expected, came up with a great machine. But Ptolemy couldn't do much in such a limited time. So, his device was not a machine. But I can use this background: Machines make work easier by increasing the amount of force that is applied, increasing the distance over which the force is applied, or changing the direction in which the force is applied. Contrary to popular belief, machines do not increase the amount of work that is done. They just change how the work is done. So if a machine increases the force applied, it must apply the force over a shorter distance. Similarly, if a machine increases the distance over which the force is applied, it must apply less force. What is an answer for this question: Whose device would have created more applied force, Archimedes or Ptolemy?
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The answer is:
Archimedes

Problem: Given the question: I have a new situation: Two brothers had bike repair shops in neighboring towns. Bob's was located in a hilly area, with more precipitation and full of bike trails, while Rob's was in the valley, near the parks. But I can use this background: In slippery conditions some riders prefer to ride fixed because they believe the transmission provides increased feedback on back tire grip. However, there is also an increased risk of loss of control in such conditions. This is especially so when taking into account the large number of riders who ride brakeless. These riders must brake entirely through the drivetrain. Ideally this is done by resisting the forward motion of the pedals, shedding speed while the bike is still moving. Alternatively, though far less efficiently, one can brake by stopping the motion of the pedals in mid-rotation, causing the rear wheel to lock in place, allowing the bicycle to skid and slow down from kinetic friction (see below).[22] Descending any significant gradient is more difficult as the rider must spin the cranks at high speed (sometimes at 170 rpm or more), or use the brakes to slow down. Some consider that the enforced fast spin when descending increases suppleness or flexibility, which is said to improve pedalling performance on any type of bicycle; however the performance boost is negligible compared to the benefits of riding a free wheel.[23] What is an answer for this question: Which bike shop completed fewer brake repairs?
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The answer is:
Rob's

Problem: Given the question: I have a new situation: Two researches studied adolescents during puberty. Tim studied males, while Dan studied females. But I can use this background: Another obvious change that occurs during puberty is rapid growth. This is called the adolescent growth spurt . In boys, it is controlled by testosterone. The rate of growth usually starts to increase relatively early in puberty. At its peak rate, growth in height is about 10 centimeters (almost 4 inches) per year in the average male. Growth generally remains rapid for several years. Growth and development of muscles occur toward the end of the growth spurt in height. Muscles may continue to develop and gain strength after growth in height is finished. What is an answer for this question: Which researcher didn't observe that the rate of growth usually starts to increase relatively early in puberty?
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The answer is:
Dan