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I'm half way through this problem, but I'm stuck at the end.
A block of mass m = 4.5 kg rests on a frictionless floor. It is attached to a spring with a relaxed length L = 5 m. The spring has spring constant k = 11 N/m and is relaxed when hanging in the vertical position. The block is pulled d = 4 m to one side. In this problem, the block is always constrained to move on the floor (i.e. it never leaves the floor).
I found the following:
change in L: 1.4 m (length the spring is extended)
Potential energy stored in spring: 10.78 J
velocity max it attains: 2.19 m/s
Now suppose this: When the spring is vertical (hence, unstretched), the block is given an initial speed equal to 1.3 times the max speed it attains. thus, initial speed is 1.3 x 2.19 = 2.85 m/s
Find: How far from the initial (unstretched) point does the block go along the floor before stopping?
A block of mass m = 4.5 kg rests on a frictionless floor. It is attached to a spring with a relaxed length L = 5 m. The spring has spring constant k = 11 N/m and is relaxed when hanging in the vertical position. The block is pulled d = 4 m to one side. In this problem, the block is always constrained to move on the floor (i.e. it never leaves the floor).
I found the following:
change in L: 1.4 m (length the spring is extended)
Potential energy stored in spring: 10.78 J
velocity max it attains: 2.19 m/s
Now suppose this: When the spring is vertical (hence, unstretched), the block is given an initial speed equal to 1.3 times the max speed it attains. thus, initial speed is 1.3 x 2.19 = 2.85 m/s
Find: How far from the initial (unstretched) point does the block go along the floor before stopping?
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