To understand the standard formula for a sinusoidal traveling wave. one formula for a wave with a y displacement (e. g., of a string) traveling in the x direction is y(x, t)=asin(kx−ωt).
all the questions in this problem refer to this formula and to the wave it describes.
1) what is the phase ϕ(x, t) of the wave? express the phase in terms of one or more given variables ( a, k, x, t, and ω) and any needed constants like π
ϕ(x, t)=
2) what is the wavelength λ of the wave? express the wavelength in terms of one or more given variables ( a, k, x, t, and ω) and any needed constants like π.
λ=
3) what is the period t of this wave? express the period in terms of one or more given variables ( a, k, x, t, and ω) and any needed constants like π.
t=
4) what is the speed of propagation v of this wave? express the speed of propagation in terms of one or more given variables ( a, k, x, t, and ω) and any needed constants like π.
v=

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).

How does an observation about an object differ from an inference about that object

Apersons beliefs and general outlook, which act like filters on the information they receive are called ?