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Hooke\'s law states that the spring force, F. is proportional to___In Hooke\'s l

ID: 1413403 • Letter: H

Question

Hooke's law states that the spring force, F. is proportional to___In Hooke's law, the unit of proportionality, K, is expressed as the ratio of force F to displacement, X. In MKS, the unit of K = F/X is___The unit of acceleration in the MKS system of units is___A spring is displaced a distance of 5 cm by a 20 N force. The spring constant is___N/m A 2.0- kg mass is suspended from a spring. The torcc on the spring is___N A spring whose force constant is 0.4 N/m is displaced a distance of 3 cm. The force acting on the spring is___N The vibration of diatomic molecules can be modeled by___A spring-mass system vibrates at a frequency of 100 Hz. The period of oscillation of the system is___s. T = 2phi squareroot m/K. Solve for K. T= 3 s. K= 4 phi^2 N/m, the value of m is___

Explanation / Answer

1. displacement of its end from equilibrium position

2.Newton/metre (N/m)

3. m/s2 (Gal in cgs unit)

4.(20/0.05)= 400

5. 2*9.8 N = 19.6 N

6. (0.4 * 3/100) N = 0.012 N

7. harmonic oscillator

8. (1/100) s = 0.01 s

9. T = 2*pi* sqrt(m/K)

=> T2 = (2*pi)2 * (m/K)

=> K = (4*pi2*m)/ T2

10. T = 2*pi* sqrt(m/K)

3 = 2*pi* sqrt (m/ 4*pi^2)

=> 3 = sqrt (m)

=> m = 9 kg