A weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by y = 1/6 sin(8t) + 1/8 cos(8t) where y is the displacement (in feet) from equilibrium of the weight and t is the time (in seconds). (a) Use the identity a sin(Bθ) + b cos(Bθ) =    a2 + b2 sin(Bθ + C) where  C = arctan(b/a), a > 0,  to write the model in the form  A)  y = (b) Find the amplitude of the oscillations of the weight. (c) Find the frequency of the oscillations of the weight

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A: Solution:-

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Q: = 0.1N(1 − N

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A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.