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a.) If relativistic effects are to be less than 5%, then %u03B3 must be less than 1.05. At what relative velocity is %u03B3 = 1.05? (answer in c)
b.) Suppose a muon produced as a result of a cosmic ray colliding with a nucleus in the upper atmosphere has a velocity v = 0.9500c. Suppose it travels at constant velocity and lives 1.52 µs as measured by an observer who moves with it (this is the time on the muon's internal clock). It can be shown that it lives for 4.87 µs as measured by an earth-bound observer (see Example 26.1 in the textbook). Give all answers correct to 4 significant figures.
(a) How long would the muon have lived as observed on earth if its velocity was 0.0800c?
µs
(b) How far would it have traveled as observed on earth?
m
(c) What distance is this in the muon's frame?
Consider an experiment where a subject lands during two conditions from a height of 0.2 m. During the first landing condition, the subject lands 'stiffly' (e.g., very little knee flexion).
A car moving at 10 m/s crashes into a barrier and stops in 0.50s. There is a 20kg child in the car. Suppose that the child's velocity is changed by the same amount as the cars in the same time period.
The water pressure in the pipes in the basement of a tall house is 5.1 105 Pa. Calculate the water pressure on the second floor
A 25.0g arrow is shot through a 7.8 cm apple. If the arrow enters the apple at 38.8 m/s and emerges with a speed of 30.10m/s in the same direction, what is the magnitude of force with which the apple has resisted the arrow.
How various g's of acceleration does the astronaut experience when the device is rotating at top speed? Each 9.80 m/s^2 of acceleration is 1 g.
The rectangular gate CD shown in the figure is 1.8 m wide and 2 long. Assuming the material of the gate to be homogeneous and neglecting friction at the hinge C, determine weight of the gate necessary to keep it shut until the water level rises to..
A recantangular block of wood floats in a calm lake. Show, if friction is ignored, determine an equation for the force constant
Two solenoids of radii 2 cm and 5 cm are coaxial. They are each 25 cm long and have 380 and 960 turns, respectively. Find their mutual inductance in mH
What is the radius of a bobsled turn banked at 75.0° and taken at 30.0 m/s, assuming it is ideally banked
A certain star is 14 million light years from Earth. The intensity of light that reaches earth from the star is 4X 10^ -21 w/m^2
If the cardiac output of a small dog is 4.05 x 10-3 m3/s, the radius of its aorta is 0.516 cm, determine the pressure drop across the aorta of the dog
What is total distance the bird travels by trains collide
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