Simple Harmonic Oscillators
A piston oscillates according to x(t) = 5.00 cm · cos (2t + π/6), with t in seconds.
What is the velocity of the piston at t=0?
-5.0cm/s
When the superposition of two travelling waves with amplitude A creates a standing wave, what is the amplitude of this standing wave?
The distance between two masses is doubled. The gravitational force is ___ the original force.
1/4
The distance between two charges is doubled. The electric force is ___ the original force.
1/4
The net flux through a closed surface is equal to the charge enclosed divided by
ε0
At one point of a swing is a pendulum at its maximum linear speed?
At the lowest point
What is the standard form of the wave equation for a traveling wave?
y(x,t) = A sin(kx − ωt + φ)
What is escape velocity?
Minimum speed an object requires to escape from the gravitational pull of a mass.
Two protons are about 10-15m apart in a helium nucleus. What is the magnitude of the electric force on each proton?
230N
A pendulum has a mass of 0.250kg and a length of 1.50m. It is displaced 15 degrees at t=0 and then released. What is the phase shift of the motion?
0
A string is oscillating up and down with a frequency 6.00Hz with an amplitude of 15cm and a wave speed of 23 m/s. What is the maximum transverse speed of an element on the string?
5.66 m/s
A satellite of mass 10 000 kg needs to be put at a point between the Earth and the moon where it feels no net force. How far from the centre of the Earth will this be?
3.46*108m
An electron is at a point with a downwards electric field of 100N/C. What is the acceleration of the electron if released? (magnitude and direction)
1.76*1013m/s2 upwards
A cube has a net flux of 3.75 Nm2/C. The length of a side of the cube is 0.5m. What is the net charge (in C) inside of the cube?
3.32*10-11 C
Using an initial condition of v(0)=-Awsin(φ)=30cm/s, a value of φ is found to be -0.321rad. What is the other possible φ?
-2.821
Two speakers broadcast a tone of 850Hz along a line to an observer 0.6m in front of speaker 2. How far apart should the speakers be so that the observer hears the loudest note? Give the smallest non-zero distance.
(speed of sound = 340m/s)
0.4m
Two neutron stars orbit around their centre of mass. They are separated by a center-to-center distance of d=7*108m and have a period of orbit of 7.75 hrs. What is their orbital speed?
78800 m/s
A downwards-directed 100 N/C field is created at some point P by a positive charge=1μC. Where must this charge be located? (answer in distance and in relative location to point P)
9.48m above point P
Given an infinite cylinder of radius r and uniform charge density with a Gaussian cylinder of radius R (R>r) and length L placed around it, when using Φ=EAcosθ, what would the area be equal to?
2πrL
The max acceleration of a mass on a spring is found to be 108 cm/s2, with an amplitude of 12cm. What is the period of the motion?
2.09s
Two trains have a whistle of 152 Hz. One is at rest in the station and one is moving. A commuter standing at the station hears beats with frequency 4.37 Hz. What are the two possible frequencies the observer is hearing from the moving train?
(speed of sound = 343m/s)
156.37 Hz and 147.63 Hz
Two 100kg lead spheres are suspended from 100m long massless cables. The tops of the cables have been carefully anchored so that the spheres are hanging exactly 1 m apart. What angle (measured from vertical) do the cables make due to the gravitational attraction between the spheres?
3.90*10-8 degrees
What is the magnitude of electric flux through a hoop of radius 0.8m oriented such that its plane is parallel to a surface with outwards electric field 150N/C?
301.6 Nm2/C
A square surface with sides d=5cm has a uniform electric field E=350N/C at an angle of 60 degrees to the normal of the surface. What is the electric flux through the surface?
0.4375 Nm2/C