Mechanics
Fluids
SHM and Waves
Electric
Magnetic
100
A ball rolls off a horizontal table of height h with speed v. How far horizontally did ball go before hitting ground?
kinematic in y to get time, d=vt to get dx.
100
A mass M floats in water of density p. Determine the buoyant force
1. Mg
100
If given the wavelength of a radio wave how could you find the frequency
1. f=c/lambda
100
A charge q of mass m is released from rest and goes through a voltage V. Find the speed of the charge.
1. qV=1/2 m v2
100
Given the current through a wire, determine the magnetic field size and direction a distance d above the wire.
1. B=muI/2pid 2. RHR, thumb I and fingers B
200
3 Forces are exerted at strange angles on an object in equilibrium. All angles are given and two forces are given, solve for the size of the final force
Draw force diagram Break up all forces into x and y using Fsin or F cos sum forces in x and y equal 0 solve for final force
200
An unknown mass displaces a volume V of water of density p as it floats, determine the mass of the water displaced and the buoyant force
1. pV 2. pVg
200
If mass m is attached to a spring of spring constant k on a horizontal frictionless table. You displace the mass by x. Determine the maximum speed of the mass.
1. Ei=Ef 2. 1/2 k x2 = 1/2 m v2
200
A charge q of mass m is released in an electric field E. Find the acceleration of the mass.
1. F=qE=ma
200
You push a bar magnet's north end to the right into a loop of wire. Find the direction of the magnetic field induced by the loop
1. field out of North 2. flux increasing 2. so induced B opposite, to the left
300
A mass m slides down an incline of angle theta with friction coefficient mu. Determine the time it takes to make it down the incline
What is 1. Draw force diagram 2. Break up gravity into mgsin mgcos 3. mgsin - mu mgcos = ma 4. kinematics or energy/work
300
The absolute pressure at the bottom of Lake mead is P. The water has a density p. Determine the depth of the deepest point in Lake Mead
1. Ptot-Patm=pgh
300
You displace a mass m by a distance x on a horizontal spring of constant k. Find the speed at a point x/2.
1. Ei=Ef 2. 1/2 kx2=1/mv2 + 1/2 k (x/2)2
300
You are given a diagram of a bunch of charges (w/ magnitudes and signs). Draw the field lines and equipotential lines
1. E field lines out of +, into - 2. more for larger magnitude 3. don't cross E lies 4. equipotential lines go perpendicular to E lines
300
A rod of length L is pulled with velocity v through a magnetic field B. The rods ends are connecte dwith a wire to a light bulb of resistance R. Determine the current that flows.
1. V=LvB 2. V=IR
400
Two objects of known mass and known initial velocity collide and stick together, determine the change in total KE of the system
What is 1. mv+Mv=(m+M)v to find v final 2. KE initial of both - KE final of both
400
A fluid of density p moves with speed v1 through a small pipe of radius r1 at ground level, the pipe brings water to an pipe 20m higher and with radius r2. The lower pipe has pressure P1. Find the pressure P2 in the higher pipe.
1. A1v1=A2v2 2. Bernoulli's equation to find P2
400
Given a string of length L secured at both ends, find the possible wavelengths
1. Draw wavelengths with nodes at ends 2. number of wavelengths = L 3. solve for wavelength
400
You are given a square with charges of known charge in each corner. You are also given the side length of the square. Determine the electric potential in the middle.
1. find distance to middle from charge 2. kq/r for each including signs and add up
400
A circular loop of wire of radius r and resistance R is placed in a uniform magnetic field of B. If the magnetic field is increased to 3x the initial value in a time t, determine the current in the loop.
1. V=delta (BAcos)/t 2. V=IR
500
A mass has a single unknown constant force exerted on it. The amount of work done on the mass is measured at certain distances x. Data is given on the work done on the mass, and the distance it has gone. Use this data to find the Force applied
Plot Work vs. distance, force = slope since W=Fx
500
A spherical balloon of radius r is filled with helium and tied to the ground with a string. The mass of the rubber is m, and the density of helium and air are given. Determine the tension in the rope.
1. Force diagram, sum of forces =0 2. T= p(air)Vg-mg-p(helium)Vg
500
A mass m is displaced a distance x on a spring of constant k. Find the time it takes to reach equilibrium again
1. solve for period 2. time = 1/4 T
500
You are given a square with charges of known charge in each corner. You are also given the side length of the square. Determine the electric field (size and direction) in the middle.
1. find middle length 2. Draw diagram 3. find kq/r2 for each 4. Break up each vector into x and y 5. add up x and y, then pYthagorean thrm 6. angle is tan-1(y/x)
500
How do you know if there will be an induced current in a loop? How do you know which way the induced current will flow in the loop? You need to be very specific
1. There will be an induced current if there is a change in magnetic flux (field caught) by the loop 2. If the flux decreases, the magnetic field created by induced current goes same, RHR to get direction and vice versa
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