What work must be done to compress the spring by 4cm if it is known that the force 2H compresses this spring by 1cm?
January 10, 2021 | education
| 1) In this task, we need to use Hooke’s Law, F = k * x. Since the force for one centimeter is 2N, the force for 4 centimeters is 2 * 4 = 8 N, F = 8H.
2) Work (A) is equal to F (8H) * S (movement – 4 centimeters).
3) We convert centimeters to meters: 4 cm = 0.04 m.
4) A = F * S = 8 * 0.04 = 0.32 (J).
Answer: 0.32 (J).
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