A student is studying a 100.0g mass oscillating on a horizontal spring of spring

Question

A student is studying a 100.0g mass oscillating on a horizontal spring of spring constant k=20N/m. At t=0, the object was at rest and its position was x= 2.45cm from its equilibrium position.

(a) What is the amplitude of oscillation of the mass?


m

(b) Calculate , f, and T.


/s


/s


s

(c) What is the maximum acceleration of the mass?


m/s2

(d) What is the maximum velocity of the mass?


m/s

(e) Write the proper expression for the object's position, velocity, and acceleration as a function of time.


cos

t


sin

t


cos

t

(f) What are the position, speed, and acceleration (magnitude only) of the object when the kinetic energy of the mass equals the potential energy of the spring mass system?


m


m/s


m/s2

(g) What are the first three values of t in which x=0? Notice that they will also correspond to the first three values in which the acceleration is zero.


s


s


s

(h) Other than t=0s what are next three values of t in which v=0?


s


s


s

Explanation / Answer

There are a lot of questions to be answered. It would be better if you had posted them in different threads with a maximum of 3 questions in 1. Hope you understand. Thank you :)

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