A 1.50 kg object is held 1.20 m above arelaxed, massless vertical spring with a

Question

A 1.50 kg object is held 1.20 m above arelaxed, massless vertical spring with a force constant of300 N/m. The object is dropped onto thespring. (a) How far does the object compress thespring?
        m

(b) How far does the object compress the spring if the sameexperiment is performed on the moon, where g = 1.63m/s2?
     m

(c) Repeat part (a), but now assume that a constant air-resistanceforce of 0.700 N acts on the object during its motion.
    m (a) How far does the object compress thespring?
        m

(b) How far does the object compress the spring if the sameexperiment is performed on the moon, where g = 1.63m/s2?
     m

(c) Repeat part (a), but now assume that a constant air-resistanceforce of 0.700 N acts on the object during its motion.
    m

Explanation / Answer

Given      mass of the object m = 1.5kg       h =   1.20 m       springconstant   K = 300 N /m a)            mgh = (1/2) K x2             1.5 * 9.8* 1.2 = 0.5* 300* x2          x    = (   1.5 *9.8* 1.2 ) / 0.5*300                = 0.3429 b )     mgh = (1/2) Kx2             1.5 * 1.63* 1.2 = 0.5* 300* x2          x    = (   1.5*1.63* 1.2 ) / 0.5*300                = 0.0858 c)     mgh - F * h  =    (1/2) K x2                (1.5* 9.8* 1.2) - ( 0.7 x 1.2 ) = 0.5* 300*x2                           x = 0.3346             1.5 * 1.63* 1.2 = 0.5* 300* x2          x    = (   1.5*1.63* 1.2 ) / 0.5*300                = 0.0858 c)     mgh - F * h  =    (1/2) K x2                (1.5* 9.8* 1.2) - ( 0.7 x 1.2 ) = 0.5* 300*x2                           x = 0.3346

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