What work must be done to compress the spring by 4cm if it is known that the force 2H compresses this spring by 1cm?

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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