Physics 200
Problem Set 7
Solution
Quick overview:
Although relativity can be a little bewildering, this problem set uses just a few ideas
over and over again, namely
1. Coordinates (x, t) in one frame are related to coordinates (x , t ) in another
frame
Physics 200a Sample Midterm Questions
Formulas and gures at the end
I expect this assortment of problems to take about 90 minutes
1. A block of mass m starts with negligible speed from the top of an inclined plane
of angle and coecient of friction k , as
Problem Set 8 Solutions
1. Find the real part, imaginary part, modulus, complex conjugate, and inverse of the following numbers: (i)
(ii) (3 + 4i)2 , (iii)
3+4i
34i ,
(iv)
1+2i
,
1 3i
2
3+4i ,
and (v) cos + i sin .
To nd the quantities are looking for, we
Problem Set 12 Solutions
1. What is the increase in entropy of one gram of ice at Oo C is melted and heated to 500 C ?
The change in entropy is given by dS = dQ . In this case, the dQ must be calculated in two
T
pieces. First there is the heat needed to m
Problem Set XI Solutions
Fall 2006 Physics 200a
1. How much heat is needed to convert 1 kg of ice at -10oC to steam at 100oC?
Remember ice and water do not have the same specific heat.
In general the heat necessary to warm a material that doesnt change ph
Physics 200
Problem Set 10
Solution
1. A vertical tube of radius 1 cm, open at the top to the atmosphere, contains 2 cm of oil (oil =
0.82water ) oating on 3 cm of water. What is the gauge pressure (pressure in excess of atmospheric)
at the bottom?
Answer
Problem Set IX Solutions
Fall 2006 Physics 200a
1. Write the equation for a wave moving along +x with amplitude .4m, speed 6m/s and
frequency 17Hz. If these are waves on a string with mass per unit length =
.02kg/m, what is the u, the energy per unit leng
Physics 200
Problem Set 6
Solution
1. (i) What is the moment of inertia ICM of a propeller with three blades (treated as rods) of mass
m, length L, at 120 relative to each other? (ii) If a torque acts on this how long will it take to
reach an angular velo
Problem Set V Solutions
1. Consider masses m1 , m2 , m3 at x1 , x2 , x3 . Find X , the CM coordinate by nding X12 , the CM of mass of 1 and
2, and combining it with m3 . Show this is gives the same result as
X=
3
i=1 mi xi
.
3
i=1 mi
The center of mass fo
1
Physics 200a PSIV SOLUTIONS
1. (i) Using the dot product show that if A + B is perpendicular to A B, then A = B .(ii) Use the
dot product to relate vector components (Ax , Ay ) in the standard frame to (Ax , Ay ) measured in a
frame rotated counterclock
Problem Set III Solutions
1. The block is at rest which means that Fx = Fy = 0. From Figure 1, it is clear that
Fx = max = 0 = T1 cos a = T2 cos b
Fy = may = 0 = T1 sin a + T2 sin b = mg.
(1)
(2)
Solving Equation 1 for T2 and then plugging back into Equat
1
Physics 200a PSII
1. Let A = 3i + 4j and B = 5i 6j.
(i) Find A + B, A B, 2A + 3B, and C such that A + B + C = 0.
(ii) Find A , the length of A and the angle it makes with the x-axis.
A + B = 8i 2j
A B = 2i + 10j
2A + 3B = 6i + 8j + 15i 18j = 21i 10j
C =
Physics 200
Problem Set 1
Solution
Note: Its not very fun to punch numbers into a calculator. Plugging in numbers at the very end will
often save you time and mistakes. This wont matter so much in this problem set, but try to get in the
habit now.
1. From
Physics 200
Practice Final
(Sketchy, as in outlined) Solution
I.
(i) In time t the heater will have provided energy Qheater = P t, where P is the power. We
rst compare this to the amount of energy needed to get the water to the boiling point (the
symbols
1
Physics 200A
FINALS
Shankar 180mins
December 13, 2005
Formulas and gures at the end. Do problems in 4 books as indicated
I. Book I A camper is trying to boil water. The 55 g aluminum pan has
specic heat c = .92J/(gC 0 ), and holds 2000g of water. both a
26
EXAM II
CALCULUS BC
SECTION I PART A
Time—55 minutes
Number of questions—28
A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAMINATION
Directions: Solve each of the following problems, using the available space for scratchwork. After examining
the fo
Shock Me Like An Electric Field Lab Instructions
Purpose
An electric field surrounds any assemblage of charged objects. To determine the strength and
direction of these fields, we have two options. Since E is the derivative of the Potential it should
make
AP Physics C
Parachute Men Lab
Name _
The goal of this lab is to determine how the resistive force of air resistance relates to the terminal
velocity of a parachute man in free fall.
If an object of mass M falls under the influence of gravity and a drag f
AP Physics C
Coffee Filter Lab
Name _
The goal of this lab is to determine how the resistive force of air resistance relates to the terminal
velocity of a coffee filter in free fall.
If an object of mass M falls under the influence of gravity and a drag f
AP Physics C
Parachute Men Lab
Name _
The goal of this lab is to determine a relationship between any of the variables in the drag force on a
Parachute Man.
If an object of mass M falls under the influence of gravity and a drag force Fdrag, we may write
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AP Physics C Coffee Filters Lab ~
Purpose: Design a lab which will test whether the coffee filters have a drag force proportional to the velocity, or
proportional to the velocity squared.
Fdrag bv n
Preliminary Questions
1. Drop one filter and then drop t
Temp and Heat
AP Physics
Miss T
Temperature: Average KE of the particles. Depends on average speed only of particles (atoms or molecules)
A bucket of water at 50o has the same temperature as a cup of water at 50o
Thermal Energy: Average KE and the mass of
REVIEW: KINEMATICS IN TWO DIMENSIONS
1.
Acceleration parallel to an incline x
2.
Relative Velocity: Constant v in the
x and y directions simultaneously.
There are two vector right triangles. One
consists of velocity vectors and the other
consists of displ