Integrated Concepts Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in a B = h 2 4 π 2 m e k q e 2 = 0.529 × 10 − 10 m is 207 m e . (a)Calculate the radius of the n = 1 orbit for a muon in a uranium ion ( Z = 92 ) . (b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
Integrated Concepts Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in a B = h 2 4 π 2 m e k q e 2 = 0.529 × 10 − 10 m is 207 m e . (a)Calculate the radius of the n = 1 orbit for a muon in a uranium ion ( Z = 92 ) . (b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in
a
B
=
h
2
4
π
2
m
e
k
q
e
2
=
0.529
×
10
−
10
m
is 207
m
e
.
(a)Calculate the radius of the
n
=
1
orbit for a muon in a uranium ion
(
Z
=
92
)
.
(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
Answer without rounding off:
(COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position of 2.1 x 106 m through the center of a planet with a radius of 7.7 x 106 m. If the mass of the planet is 46.5 x 1015 kg, measure the displacement of the ball at time t = 6 s?
The particle shown below is at rest, where F = 65N and o = 37.4 deg Find the magnitudes of F_{1} and F_{2}
A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 291 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on.
Randomized VariablesR = 1.3 metersM = 291 kgm = 42 kgv = 1.8 m/s
Part A- Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2.
Part B- Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round.
Part C- Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.
Part D- The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry…
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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