Review Midterm 2: you will need to bring a SCANTRON Form No 815-E (the
one in green with 15 questions)
There will be approximately a total of 12 multiple choice conceptual questions and multiple
choice problem questions.
Besides the multiple choice concep

Here the vectors a = h4 0, 0 4, 4 4i = h4, 4, 0i and b = h4 0, 4 4, 0 4i =
h4, 0, 4i lie in the plane, so a b is a normal vector to the plane. Thus, we
can take n = a b = h16 0, 0 + 16, 0 + 16i = h16, 16, 16i. If P0 is the point
(0, 4, 4) , an equation of

|v(0)| = 150 m/ s and since the angle of elevation
is 60 , the direc
tion of the velocity
is (cos 60 )i + (sin 60 )j = 12 i + 23 j . Thus v(0) =
150 12 i + 23 j = 75i + 75 3j and if we set up the axes so the projectile
starts at the origin, then r(0) =

If we first find two nonparallel vectors in the plane, their cross product will
be a normal vector to the plane. Since the given line lies in the plane, its
direction vector a = h5, 1, 1i is one vector in the plane. We can verify
that the given point (3,

Midterm 1 Review Physics 100B: you will need to bring a SCANTRON Form
No 815-E (the one in green with 15 questions)
There will be approximately a total of 15 multiple choice conceptual questions and multiple choice
problem questions.
Besides the multiple

Physics 100B - Review Final Exam
Chapters: 24, 28, 29, 30, and 31
1. Which one of the following statements concerning electromagnetic waves is false?
a. Electromagnetic waves carry energy.
b. X-rays have longer wavelengths than radio waves.
c. In vacuum,

Physics 100B - Review Final Exam
Chapters: 24, 28, 29, 30, and 31
1. Which one of the following statements concerning electromagnetic waves is false?
a. Electromagnetic waves carry energy.
b. X-rays have longer wavelengths than radio waves.
c. In vacuum,

For the particles to collide, we require r1 (t) = r2 (t)
ht , 8t 7, t2 i = h9t 14, t2 , 12t 35i. Equating components gives
t2 = 9t 14, 8t 7 = t2 , and t2 = 12t 35. From the first equation,
t2 9t + 14 = 0 (t 2)(t 7) = 0 so t = 2 or t = 7. t = 2 does not
s

The projection of the curve C of intersection onto the xy-plane is the circle
x2 + y 2 = 81, z = 0.
Then we can write x = 9 cos(t), y = 9 sin(t), 0 t 2. Since C also lies
on the surface z = xy, we have z = xy = (9 cos(t)(9 sin(t) = 81 cos(t) sin(t),
or 40

First, a normal vector for the plane 2x + 4y + 8z = 16 is n = h2, 4, 8i.
A direction vector for the line is v = h2, 1, 1i, and since n v = 0 we
know the line is perpendicular to n and hence parallel to the plane. Thus,
there is a parallel plane which cont

The angle of intersection of the two curves is the angle between the two
tangent vectors to the curves at the point of intersection. Since r1 (t) =
h4, 2t, 3t2 i and t = 0 at (0, 0, 0), r1 (0) = h4, 0, 0i is a tangent vector to r1
at (0, 0, 0). Similarly,

Abstract
Jahnavi Desai
Physics 100A
Lab # 4
For this lab, our goal was to use motion detector to transform the stress originated on our
device and convert it to a unit of voltage that we can understand. By doing this we can control
the relationship of sta