A 10kg mass suspended at a height of 10 meters above a massless platform attached to a vertical spring with a stiffness constant of k 1000 N/m. Ignore air resistance, and g is 9.8 m/s?. You are not required to, but it is always helpful (and nice for me to see) if you make a drawing of the situation. a. When the mass is released it will fall onto the platform. By what length will the spring compress while the mass is in contact with the platform? b. Now consider the situation where the mass starts at the same height but is thrown downwards with an initial speed of 3 meters per second. What will the maximum compression of the spring be in this case? c. Does the answer to b change if the mass was thrown upwards at the same speed instead?

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

A 10 kg mass is suspended at a height of 10 meters above a massless platform attached to a vertical spring with a stiffness constant of \( k = 1000 \, \text{N/m} \). Ignore air resistance, and \( g = 9.8 \, \text{m/s}^2 \). You are not required to, but it is always helpful (and nice for me to see) if you make a drawing of the situation.

**a.** When the mass is released, it will fall onto the platform. By what length will the spring compress while the mass is in contact with the platform?

**b.** Now consider the situation where the mass starts at the same height but is thrown downwards with an initial speed of 3 meters per second. What will the maximum compression of the spring be in this case?

**c.** Does the answer to b change if the mass was thrown upwards at the same speed instead?
Transcribed Image Text:**Problem Statement:** A 10 kg mass is suspended at a height of 10 meters above a massless platform attached to a vertical spring with a stiffness constant of \( k = 1000 \, \text{N/m} \). Ignore air resistance, and \( g = 9.8 \, \text{m/s}^2 \). You are not required to, but it is always helpful (and nice for me to see) if you make a drawing of the situation. **a.** When the mass is released, it will fall onto the platform. By what length will the spring compress while the mass is in contact with the platform? **b.** Now consider the situation where the mass starts at the same height but is thrown downwards with an initial speed of 3 meters per second. What will the maximum compression of the spring be in this case? **c.** Does the answer to b change if the mass was thrown upwards at the same speed instead?
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