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Calculus
,
Physics
Principles of Physics A Calculus-Based Text
458 SOLVED PROBLEMS
Question: 28.Q-Q.2
While standing outdoors on a dark night, you are subjected to the following four types of electromagnetic radiation: yellow light from a sodium street lamp, radio waves from a nearby AM radio station, radio waves from a nearby FM radio station, and microwaves from a nearby antenna of ...
Verified Answer:
AM radio, FM radio, microwaves, sodium light. The ...
Question: B.7
A useful formula that follows from Equation B.30 is the derivative of the quotient of two functions. Show that d/dx = [g(x)/h(x)] = hdg/dx – gdh/dx / h² ...
Verified Answer:
We can write the quotient as
g h^{-1} [/la...
Question: B.6
Find the derivative of y(x) = x³ / (x + 1)² with respect to x. ...
Verified Answer:
We can rewrite this function as
y(x)= x^{3...
Question: B.5
Find the derivative of y(x) = 8x^5 + 4x³ + 2x + 7 ...
Verified Answer:
By applying Equation B.29 to each term independent...
Question: B.2
Solve the two simultaneous equations (1) 5x + y = -8 (2) 2x – 2y = 4 ...
Verified Answer:
From (2), x = y + 2. Substitution of this equation...
Question: 31.Q-Q.6
Using a coordinate system like that in Figure 31.8, draw an eightfoldway diagram for the three quarks in the original quark model. ...
Verified Answer:
The diagram would look like this one:
Question: 31.Q-Q.5
Suppose a claim is made that the decay of the neutron is given by n → p + e^-. What conservation laws are violated by this decay? (a) energy (b) angular momentum (c) electric charge (d) baryon number (e) electron-lepton number (f) muon-lepton number (g) tau-lepton number (h) no conservation laws ...
Verified Answer:
(b), (e). There is one spin-
\frac{1}{2} [/...
Question: 31.Q-Q.4
Consider the following decay: π^0 → µ^- + e^+ + νµ . What conservation laws are violated by this decay? (a) energy (b) angular momentum (c) electric charge (d) baryon number (e) electron-lepton number (f) muon-lepton number (g) tau-lepton number (h) no conservation laws ...
Verified Answer:
(b), (e), (f). The pion on the left has integral s...
Question: 31.Q-Q.3
Consider the following decay: n → p + π^-. What conservation laws are violated by this decay? (a) energy (b) electric charge (c) baryon number (d) angular momentum (e) no conservation laws ...
Verified Answer:
(a). The sum of the proton and pion masses is larg...
Question: 31.Q-Q.2
Consider the following decay: n → π^+ + π^- + µ^+ + µ^-. What conservation laws are violated by this decay? (a) energy (b) electric charge (c) baryon number (d) angular momentum (e) no conservation laws ...
Verified Answer:
(c), (d). There is a baryon, the neutron, on the l...
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