A person who weighs 615 N steps onto aspring scale in the bathroom, and the spri

Question

A person who weighs 615 N steps onto aspring scale in the bathroom, and the spring compresses by0.85 cm. (a) What is the spring constant?
1 N/m

(b) What is the weight of another person who compresses the springby 0.31 cm?
2 N

Section 10.1 The Ideal Springand Simple Harmonic Motion A person who weighs615 N steps onto a spring scale in thebathroom, and the spring compresses by 0.85 cm. (a) What is the spring constant?
1 N/m

(b) What is the weight of another person who compresses the springby 0.31 cm?
2 N

Section 10.1 The Ideal Springand Simple Harmonic Motion (a) What is the spring constant?
1 N/m

(b) What is the weight of another person who compresses the springby 0.31 cm?
2 N (a) What is the spring constant?
1 N/m

(b) What is the weight of another person who compresses the springby 0.31 cm?
2 N

Explanation / Answer

    weight of the person, W = 615 N     Force on the spring, F = 615 N (a)     Compression, x = 0.85 cm = 0.0085 m     Spring constant, K = F / x = 615 / 0.0085 =72352.9 N / m (b)       compression, x = 0.31 cm = 0.0031 m     Force on the spring, F = K x = 72352.9 * 0.0031= 224.3 N     weight of the person , W = 224.3 N

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