Please refer to the picture with the formulas needed to solve this problem. Please only use the formulas, constants, and units from the picture given. To simulate various processes on the surface on Mars, a labratory uses an Atwood machine to simulate Martian gravitational acceleration. An Atwood machine is a setup involving two objects connected by a string that runs over a pulley. For this problem, assume that the string and pulley are ideally frictionless, massless, and inextensible. One object is a bucket holding the subject of the labratory's experiment, which in total has a mass mb. The other object is a counterweight, whose mass Mc must be properly selected to ensure that the experiement's downward acceleration matches that of Martian gravity, gM. Part 1) The experimenter want the bucket to be accelerated as if it were being dropped near the surface of Mars. Which mass must be bigger, Mb (the bucket) or Mc (the counterweight)? How does the acceleration of the bucket compare to the acceleration of the counterweight? Part 2) Draw and label a free body diagram for both the experiment bucket and the counterweight. Part 3) Write a Newton's 2nd Law equation describing the net force on the bucket. Part 4) Write a Newton's 2nd law equation describing the net force on the counterweight. Part 5) If mb = 130 kg, determine the required counterweight mass Mc to achieve an acceleration equivalent to Martian gravity, gM = 3.7 m/s^2. Please answer all the steps. Thank you
Please refer to the picture with the formulas needed to solve this problem. Please only use the formulas, constants, and units from the picture given.
To simulate various processes on the surface on Mars, a labratory uses an Atwood machine to simulate Martian gravitational acceleration. An Atwood machine is a setup involving two objects connected by a string that runs over a pulley. For this problem, assume that the string and pulley are ideally frictionless, massless, and inextensible.
One object is a bucket holding the subject of the labratory's experiment, which in total has a mass mb. The other object is a counterweight, whose mass Mc must be properly selected to ensure that the experiement's downward acceleration matches that of Martian gravity, gM.
Part 1) The experimenter want the bucket to be accelerated as if it were being dropped near the surface of Mars. Which mass must be bigger, Mb (the bucket) or Mc (the counterweight)? How does the acceleration of the bucket compare to the acceleration of the counterweight?
Part 2) Draw and label a free body diagram for both the experiment bucket and the counterweight.
Part 3) Write a Newton's 2nd Law equation describing the net force on the bucket.
Part 4) Write a Newton's 2nd law equation describing the net force on the counterweight.
Part 5) If mb = 130 kg, determine the required counterweight mass Mc to achieve an acceleration equivalent to Martian gravity, gM = 3.7 m/s^2.
Please answer all the steps. Thank you
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