Physics 22
Problem Set #1 - SOLUTIONS
Spring 2012
from Halliday, Resnick & Krane, 4th edition
Problem 21.4 The mean lifetime of muons stopped in a lead block in the laboratory is measured to
be 2.20 s. The mean lifetime of high-speed muons in a burst of c
Problem Set #2- SOLUTIONS
Physics 22
Spring 2012
from Halliday, Resnick & Krane, 4th edition
Problem 21.21 Galaxy A is reported to be receding from us with a speed of 0.347c. Galaxy B,
located in precisely the opposite direction, is also found to be reced
Physics 22
Problem Set #3- SOLUTIONS
Spring 2012
from Halliday, Resnick & Krane, 4th edition
Problem 14.45 Calculate the force F needed to punch a 1.46-cm diameter hole in a steel plate 1.27
cm thick; see Figure below. The ultimate shear strength of steel
ANSWER IN YOUR BLUE BOOK
Physics 21 2015 final exam
Linear quantities:
Linear-to-angular conversions:
x(t)
= cor (for component
v
v(t) = dx/dt
of r perp. to v)
a(t) = dv/dt = d2x/dt2
T= r x F = | r | | F | sin(Cp)
p = mv
= r x p
L
E = 1/2 mv2
T = dL/dt
F
constant braking force occurs over
contact time TB
v0
wall with
coefficient
of friction
very-low-friction surface
Q1.) A spherical object (mass M, radius R, moment-of-inertia I) is rolling horizontally,
with no slipping, at speed v0. NOTE: do not substit
Grading rubric
4+6+4
Q1. Orbits.
A) Find the angular momentum of an object of mass M1 in a circular
orbit, of radius R, around mass M2.
Keplers law gives orbital period: T = 2 sqrt(R3/GN(M1+M2)
orbit speed = 2R/T = sqrt(G(M1+M2)/R)
momentum L = mvR = M1 s