Physics 105 Problem Set 3 Solutions
Problem 1 (3 pts)
a) We are asked to nd the center of mass of a solid cone of mass M , height L and radius R. Namely, we
have to compute the following integral:
dm
1
x
()dV
=
xx
dm
M cone
cone
In our case the cone has
Physics 103H/105 Problem Set 4 Solutions
Problem 1 (3 pts)
(a) A strong human cyclist, weighing about 110 kg (including bicycle), can bicycle up a 3.1 percent grade
at about 30 km/h. What is her or his power output in watts? in horsepower?
If is the angle
Physics 105 Problem Set 12 Solutions
Each problem is worth 3 points
Problem 9. 1 An observer sees two spaceships ying apart, each with speed 0.99c relative to the observer.
What is the speed of one spaceship as viewed by the other?
In order to solve the p
Physics 105 Problem Set 11 Solutions
Problem 1 (3 pts)
(a) When bouncing o a wall perpendicular to the x-axis, only the x-component of the atoms velocity
changes its sign. Collisions with the other walls do not aect the x-component of the atoms velocity.
Physics 105 Problem Set 9 Solutions
Problem 1 (3 pts)
Motion of the support launches a wave traveling along the string with the speed
Ts
.
v=
(a) An excitation of the support at x = 0 reaches a point with coordinate x with time delay t = x/v .
Therefore t
Physics 105 Problem Set 8 Solutions
Problem 1 (3 pts)
a) Dig a narrow tunnel straight through the center of the Earth. What is the force F (x) as a function
of distance x from the center of the Earth? With gravity, a spherical shell produces no force on a
Probelm 2. (3 Points)
As we derived in Problem 1, the precession of horizontal angular momentum will result
in an additional vertical force on the rotating object. We can ultilize this to stablize the car while
turning. For this purpose, the flywheel shou
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Problem1
Letthelength oftherod tobe L=2a, mass m.Normal force from wall and ground N1,N2.At themoment
whentheanglebetweenrodandgroundis,centerofmassisat,
,
Differentiate,
,
,
(1)
Wehave
x
v
y
a(2)
Conservationofenergy,
Physics 105 Problem Set 5 Solutions
Problem 1 (3 pts)
A simple way to solve this problem is to study the motion of the spacecraft in the rest frame of the
planet, Figure 1. Since the planet is much more massive than the spaceship, this frame is eectively
Physics 105 Problem Set 3 Solutions
Problem 1 (3 pts)
a) We are asked to nd the center of mass of a solid cone of mass M , height L and radius R. Namely, we
have to compute the following integral:
dm
x
1
( )dV
xx
=
M cone
dm
cone
In our case the cone ha
Physics 105 Problem Set 4
Due: Thursday, October 15, 2009, 3 PM
Reading: K&K, Chapters 4 & 6. We are skipping chapter 5, but feel free to read it; it
contains some useful material.
Turn this in to the Undergraduate Physics Oce in Jadwin 208 by 3:00 PM on
Physics 105 Problem Set 3
Due: Thursday, October 8, 2009, 3 PM to 208 Jadwin.
Reading: K&K, chapters 3 and 4.
Turn this in to the Undergraduate Physics Oce in Jadwin 208 by 3:00 PM on Thursday.
Please NEATLY write your name, the time (9 or 10 AM) and the
F
Physics 105 Problem Set 2
Due: Thursday, October 1, 2009, 3 PM
Reading: K&K, chapters 2 and 3.
Students who are interested in enrolling in Physics 105 should solve and hand in Problems
1-6. They will count towards your 105 grade. Students who are uncert
Physics 105 Problem Set 1
Due: Thursday, September 24, 2009, 3 PM
Reading: K&K, chapter 1.
Students who are interested in enrolling in Physics 105 will solve and hand in Problems
1-5. These will be graded and (except for Problem 6) will count towards your
Solutions to 105 Midterm 2
Ed Groth, 9-Dec-2006 1. (a) The gravitational force and the normal force act through the center of mass and do not make a torque about the center of mass. The friction force acts at the edge of the ring, perpendicular to the pla
Solutions to 105 Midterm
Ed Groth, 23-Oct-2006 1. Let F be the lift force on the plane. This is applied at angle b from the vertical. The sum of the forces must equal the mass times the acceleration. In the vertical direction we 2 have F cos b - mg = 0 or