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6) A 2-kg block is at rest on a frictionless 30 incline, compressing a spring by

ID: 1572757 • Letter: 6

Question

6) A 2-kg block is at rest on a frictionless 30 incline, compressing a spring by 15 cm, as shown above What is the spring constant of the spring? Mo . (A) 0.65 N/m (B) 6.7 N/m (D) 65.3 N/m (E) 113.2 N/mm (C) 32.7 N/m A spring of spring constant 800 N/m is hung from the ceiling of an elevator, and a 10-kg block is hung from its lower end and allowed to come to rest. What will be the extension of the spring if the elevator then accelerates upward at 1 m/s2? 7) (A) 1.3 cm (B) 2.5 cm (C) 11.0 cm (D) 12.3 cm (E) 13.5 cm 8) In the scenario shown, the block is sliding to the right, and ha kinetic friction between the block and the surface is and the s

Explanation / Answer

here,

6)

mass , m = 2 kg

theta = 30 degree

x = 0.15 m

let the spring constant be K

equating the forces

k * x = m * g * sin(theta)

k * 0.15 = 2 * 9.81 * sin(30)

solving for K

K= 65.3 N/m

the spring constant of the spring is D) 65.3 N/m

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