A block of mass m is at rest at the origin at t = 0. It is pushed with constant force F 0 from x = 0 to x = L across a horizontal surface whose coefficient of kinetic friction is µ k = µ 0 (1 − x / L ). That is, the coefficient of friction decreases from µ 0 at x = 0 to zero at x = L a. Use what you've learned in calculus to prove that a x = v x d v x d x b. Find an expression for the block's speed as it reaches position L .
A block of mass m is at rest at the origin at t = 0. It is pushed with constant force F 0 from x = 0 to x = L across a horizontal surface whose coefficient of kinetic friction is µ k = µ 0 (1 − x / L ). That is, the coefficient of friction decreases from µ 0 at x = 0 to zero at x = L a. Use what you've learned in calculus to prove that a x = v x d v x d x b. Find an expression for the block's speed as it reaches position L .
A block of mass m is at rest at the origin at t = 0. It is pushed with constant force F0from x = 0 to x = L across a horizontal surface whose coefficient of kinetic friction is µk= µ0(1 −x/L). That is, the coefficient of friction decreases from µ0at x = 0 to zero at x = L
a. Use what you've learned in calculus to prove that
a
x
=
v
x
d
v
x
d
x
b. Find an expression for the block's speed as it reaches position L.
Certain types of particle detectors can be used to reconstruct the tracks left by unstable, fast-moving sub-atomic particles. Assume
that a track with a length of L=2.97 mm in the laboratory frame of reference has been observed. Further assume that you
determined from other detector data that the particle moved at a speed of L=0.910 ⚫ c, also in the laboratory frame of reference. c
denotes the speed of light in vacuum. What proper lifetime would you determine for this particle from the data given?
T= 4.0
S
generated worksheet
While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't
want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of
the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense.
How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note
that the speed u is taken to be a positive quantity.
U 4.0
C
Chapter 6 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
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