3. Suppose that an object weighing 4 lbs. stretches a spring 2 inches. The objec

Question

3. Suppose that an object weighing 4 lbs. stretches a spring 2 inches. The object is displaced an additional 6 inches below the equilibrium position and then released. The object is in a medium that exerts a damping force numerically equal to 2 times the instantaneous velocity. Determine the equation of motion. 4. A mass weighing 10 pounds is attached to a 5 foot spring and elongates it 2 feet. This is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that exerts a damping force that is equal to the instantaneous velocity. equation of motion if the mass is initially Find the the equilibrium position with a downward released from a point velocity of 1 ft/sec.

Explanation / Answer

a) K = 2.303/t log[a/a-x]

6.2*10^-5 = 2.303/2*60*60 log[0.4/0.4-x]

x = 0.256

concentration of sucrose = 0.4-0.26 = 0.14 M

b) 6.2*10^-5 = 2.303/t log[0.4/0.3]

t = 4640.87 Seconds

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