GO In Fig. 21-33, particles 2 and 4, of charge − e , are fixed in place on a y axis, at y 2 = −10.0 cm and y 4 = 5.00 cm. Particles 1 and 3, of charge − e , can be moved along the x axis. Particle 5, of charge + e , is fixed at the origin. Initially particle 1 is at x 1 = −10.0 cm and particle 3 is at x 3 = 10.0 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force F → net on particle 5 by 3° counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate F → net back to its original direction? Figure 21-33 Problem 29.
GO In Fig. 21-33, particles 2 and 4, of charge − e , are fixed in place on a y axis, at y 2 = −10.0 cm and y 4 = 5.00 cm. Particles 1 and 3, of charge − e , can be moved along the x axis. Particle 5, of charge + e , is fixed at the origin. Initially particle 1 is at x 1 = −10.0 cm and particle 3 is at x 3 = 10.0 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force F → net on particle 5 by 3° counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate F → net back to its original direction? Figure 21-33 Problem 29.
GO In Fig. 21-33, particles 2 and 4, of charge −e, are fixed in place on a y axis, at y2 = −10.0 cm and y4 = 5.00 cm. Particles 1 and 3, of charge −e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x1 = −10.0 cm and particle 3 is at x3 = 10.0 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force
F
→
net
on particle 5 by 3° counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate
F
→
net
back to its original direction?
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
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