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Physics Question?

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Wave Question?

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How do I prove the Parallelogram Law of vectors mathematically?
#a + b^2 + a − b^2 = 2a^2 + 2b^2#

A wire has length of #0.83m# and mass #0.005kg# and resonates at #215#Hz. What is the tension of the wire?

An ambulance approaches you while you are stationary. You hear a siren with a frequency of #540#Hz. Once he passes you and is going away from you the frequency is now #440#Hz. How fast was the ambulance going?

A speaker has frequency #120# Hz while two points along the horizontal (x) axis register a phase difference of #3# rad, what is the distance of these two points in meters?

Find the spring constant of the spring if a spring of length #2m# and mass is #82# grams, is stretched to a length of #2.8 m#. Its frequency is now #25 Hz# after it has been stretched?

Two speakers on a horizontal axis both emit #440# Hz sound waves. The two speakers are #pi# radians out of phase. If there is to be a maximum constructive interference what is the minimum separation distance between the two speakers?

Find the volume of the solid that lies inside both of the spheres?
#x^2 + y^2 + z^2 + 4x − 2y + 4z + 5 = 0# & #x^2 + y^2 + z^2 = 4#

Two strings are tuned to the same pitch (#184# Hz). Later you increase the tension in one string. Now, when both strings are played, there are 2 beats every second. What is the new frequency of the string that was tuned?

Can someone verify my answer?

How do I find the phase difference for this question?

The length of a hallway is #25# meters and the width is #2# meters . A laser is pointed across a mirrored with an angle of #55# degrees. How many times will the laser beam reflect off mirror 1? Image below

A light with a wavelength of #540nm# passes trough a diffraction grating that has #5000# slits and is #16 mm# wide. What is the angle #theta# that will the highest order visible diffraction maxima be?

What is the wavelength of object inside inside a material if the material has an index of refraction #n = 38.6# and frequency #0.32# THz?

Find a vector function, #r(t)#, that represents the curve of intersection of the two surfaces. The cylinder #x^2 + y^2 = 81# and the surface #z = xy#?

What does #u# and #v# represent in the following diagram?

How would I answer this question about charges?

Two masses, each of mass #3 kg# are being held #7# meters apart on a table (neglect friction). They each have #100# microcoulomb of excess negative charge, what will the initial acceleration of each one be when they are let go?

What is the Implicit Function Theorem and how do you prove it?

Sphere A, has Q units of charge. If we take some little bit of charge q off of sphere A, and put it on sphere B. What should the ratio q/Q be if we want the electrostatic force between the spheres to be a maximum?

At which point along the x axis will #q_2# experience no net force given #d=2 m# and relation between charges 1 and 3 is #3q_1=q_3#?

What is the charge on the particle given a #50xx10^6# kg particle is released from rest in a region with a constant electric field of strength #"3000 N/C"#. If the particle is observed to accelerate at a rate of #"22 m/s"^2#?

The electric field in a particular area is given by the following function. #vecE=4.4N/Cxi#, which means it gets bigger with increasing x values. Find the potential difference between points A #(x=0,y=+2)# and B #(x=3,y=0)?#

What is the change in electrostatic potential energy if an electron is moved #20m# by a uniform electric field of magnitude #155 N/C#?

Convert #5.34xx10^16 # Joules to electronvolts?

If the electric potential is given by #V=4xy^2z#, where #V# is in volts and #x, y,z# are in meters, what is the magnitude of the electric field at the point #(4.00hati,−2.00hatj,4.00hatk) m#?

A battery can create a #8 V# emf across its terminals. If this battery powers a circuit that requires #1.7# amps for #4# minutes, how much chemical energy is lost by the battery during this time?

Use differentials (linear approximation) to approximate #25/(3.1^2+3.8^2)#?

What is the limit of #lim_((x,y)>(0,0))x^2/(x^2+y^2)#?

What is the limit of #lim_((x,y)>(0,0))x^3/(x^2+y^2)#?