Achild in a swing oscillates with a certain frequency of oscillation (the child is sitting still). another child sits next to the first child. how does the swing’s frequency of oscillation change when the second child sits next to the first child?
a. more information is needed.
b. it stays the same.
c. it decreases.
d. it increases.

C

Explanation: period T = 2π√(m/k)

Where m is mass

If mass increases period will increase

And frequency = 1/T

Therefore the frequency decreases

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west