|| Galileo’s marbles. Galileo used marbles rolling down inclined planes to deduce some basic properties of constant accelerated motion. In particular, he measured the distance a marble rolled during specific time periods. For example, suppose a marble starts from rest and begins rolling down an inclined plane with constant acceleration a . After 1 s, you find that it moved a distance x . (a) In terms of x , now for does it move in the next 1 s time per oc—that is, in the time between 1 s and 2 s? (b) How far does it move in the next second of the motion? (c) How far does it move in the n th second of the motion?
|| Galileo’s marbles. Galileo used marbles rolling down inclined planes to deduce some basic properties of constant accelerated motion. In particular, he measured the distance a marble rolled during specific time periods. For example, suppose a marble starts from rest and begins rolling down an inclined plane with constant acceleration a . After 1 s, you find that it moved a distance x . (a) In terms of x , now for does it move in the next 1 s time per oc—that is, in the time between 1 s and 2 s? (b) How far does it move in the next second of the motion? (c) How far does it move in the n th second of the motion?
|| Galileo’s marbles. Galileo used marbles rolling down inclined planes to deduce some basic properties of constant accelerated motion. In particular, he measured the distance a marble rolled during specific time periods. For example, suppose a marble starts from rest and begins rolling down an inclined plane with constant acceleration a. After 1 s, you find that it moved a distance x. (a) In terms of x, now for does it move in the next 1 s time per oc—that is, in the time between 1 s and 2 s? (b) How far does it move in the next second of the motion? (c) How far does it move in the nth second of the motion?
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 2 Solutions
College Physics Volume 1 (Chs. 1-16); Mastering Physics with Pearson eText -- ValuePack Access Card -- for College Physics (10th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
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