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If the block's initial speed is increased, does the total
Chapter 13, Problem 106IP(choose chapter or problem)
Problem 106IP
If the block's initial speed is increased, does the total time the block is in contact with the spring increase, decrease, or stay the same? (b) Find the total time of contact for v0 = 1.65 m/s, m = 0.980 kg, and k = 245 N/m.
Questions & Answers
QUESTION:
Problem 106IP
If the block's initial speed is increased, does the total time the block is in contact with the spring increase, decrease, or stay the same? (b) Find the total time of contact for v0 = 1.65 m/s, m = 0.980 kg, and k = 245 N/m.
ANSWER:
Solution 106P
Part (a)
Step 1 of 2:
We are going to find the time of contact of a block with the spring if the initial speed of the block is increased.
The time of contact of the mass with the spring is the one fourth the time period T. (Example 13-6)
Where T is expressed as
Therefore
Since the time of contact of the mass with the spring is independent of the initial speed of the block, therefore it stays the same. (Increasing the initial speed will increase the amplitude but the amplitude is independent of the time period and contact time.)
Answer: time of contact stays the same.
Part (b)