1) A mass is connected to the end of a spring and undergoes simple harmonic osci

Question

1) A mass is connected to the end of a spring and undergoes simple harmonic oscillation. The graph provided shows the position of the mass as measured from the floor as a function of time.

What is the period of the mass's oscillation (in units of seconds)?

2)A rubber ball of mass 2.0 kg falling straight downward hits the ground with a speed of 0.90 m/s and then rebounds straight upward with a speed of 0.60 m/s. The collision time of the ball with the ground is t = 0.25s. Treat g = 10 m/s2 for this situation.
What is the magnitude of the average force (in units of Newtons) exerted by the ground on the ball while they are in contact

3)An object of mass m is initially at rest. After this object is accelerated to a speed of 2.40 108 m/s, it collides with and sticks to a second object of mass m at rest. Immediately after the collision, what is the common speed of the two masses?

Explanation / Answer

(1) Time Period = repeatation of wave hence

T = 8 sec

(2) average impact force * distance travelled = change in kinetic energy,

distance travelled s = (V22/2*g)= 0.018 m

change in kinetic energy = 1/2 m V12-1/2 m V22

= 0.45 j

then average impact force = 0.45/0.018= 25 N

Favg = 25 N

(3) using momentum conservation ,

m v = (m+m)*v'

v'= v/2=1.2 *10^8 m/s

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