certain spring has a spring constant of 400 [N/m] between x30 to x-0.3 [m]. At 0.3[m], ever, the spring constant changes to k2 250 [N/m] and remains so until the spring is ched to 0.4[m]. As the spring is stretched from x-0.4[m] to x=0.5[m] the spring constant is nged and becomes 100[N/m] and the spring stretches to x-0.5[m]. a. Draw the Force on the spring vs position on the diagram below Force vs Distance 80 60 40 z0 00 80 50 40 20 0.1 0.2 0.3 0.4 0.5 0.6 b. What is the total work done in stretching the spring? Include units in your answer c. If the mass on the spring is 3 [kg], and is let go at 0.5 [m], what would its speed be when it returns to x=0?

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Chapter1: Units, Trigonometry. And Vectors
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certain spring has a spring constant of 400 [N/m] between x30 to x-0.3 [m]. At 0.3[m],
ever, the spring constant changes to k2 250 [N/m] and remains so until the spring is
ched to 0.4[m]. As the spring is stretched from x-0.4[m] to x=0.5[m] the spring constant is
nged and becomes 100[N/m] and the spring stretches to x-0.5[m].
a. Draw the Force on the spring vs position on the diagram below
Force vs Distance
80
60
40
z0
00
80
50
40
20
0.1
0.2
0.3
0.4
0.5
0.6
b. What is the total work done in stretching the spring? Include units in
your answer
c. If the mass on the spring is 3 [kg], and is let go at 0.5 [m], what would its speed be when it
returns to x=0?
Transcribed Image Text:certain spring has a spring constant of 400 [N/m] between x30 to x-0.3 [m]. At 0.3[m], ever, the spring constant changes to k2 250 [N/m] and remains so until the spring is ched to 0.4[m]. As the spring is stretched from x-0.4[m] to x=0.5[m] the spring constant is nged and becomes 100[N/m] and the spring stretches to x-0.5[m]. a. Draw the Force on the spring vs position on the diagram below Force vs Distance 80 60 40 z0 00 80 50 40 20 0.1 0.2 0.3 0.4 0.5 0.6 b. What is the total work done in stretching the spring? Include units in your answer c. If the mass on the spring is 3 [kg], and is let go at 0.5 [m], what would its speed be when it returns to x=0?
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