1 Use the graph below to answer the following questions. The graph is of the pos

Question

1 Use the graph below to answer the following questions. The graph is of the position of a cart connected to two springs with friction involved Distance vs. Time of a cart on a spring 10 12 a (2pts) what is the ½ life of the amplitude of this system? Explain how you got your answer b. (2 pts) What is the decay constant, 'b c. (3 pts) Wmte down an equation for the decay ofthe amplitude vs time. should have an exponential form) (HINT: It d. (2pts) If you were to double the mass of the cart, how would this change the graph

Explanation / Answer

a] half life = 7s

b] decay constant b = ln 2 /[T1/2] = [ ln 2] /7 = 0.099 s^-1

c] A = A0* e^(-bt)

A = 1*e^(-0.099t)

A = e^(-0.099t)

d] Half life will be doubled.

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