An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 4n kg and is attached to a 2" m long wire with negligible weight. The first three stones are drawn in Figure 2. How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant g, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 n FIGURE 2. Point masses hanging off a cliff.
An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 4n kg and is attached to a 2" m long wire with negligible weight. The first three stones are drawn in Figure 2. How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant g, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 n FIGURE 2. Point masses hanging off a cliff.
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Transcribed Image Text:An infinitely long, flat cliff has stones (to be treated as point masses)
hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses
1
4n
kg and is attached to a 2n m long wire with negligible weight. The first three stones are drawn
in Figure 2.
How much work is required to pull up all the stones to the top of the cliff?
Assume work is measured in newton-meters. If you need to use the acceleration due to gravity
constant g, leave it as-is. DO NOT approximate g by a numerical value.
1
2
3
→n
FIGURE 2. Point masses hanging off a cliff.
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