CALC Proton Bombardment . A proton with mass 1.67 × 10 −27 kg is propelled at an initial speed of 3.00 × 10 5 m/s directly toward a uranium nucleus 5.00 m away. The proton is repelled by the uranium nucleus with a force of magnitude F = α / x 2 , where x is the separation between the two objects and a −2.12 × 10 −26 N·m 2 . Assume that the uranium nucleus remains at rest, (a) What is the speed of the proton when it is 8.00 × 10 −10 m from the uranium nucleus? (b) As the proton approaches the uranium nucleus, the repulsive force shows down the proton until it comes momentarily to rest, after which the proton moves away from the uranium nucleus. How close to the uranium nucleus does the proton get? (c) What is the speed of the proton when it is again 5.00 m away from the uranium nucleus?
CALC Proton Bombardment . A proton with mass 1.67 × 10 −27 kg is propelled at an initial speed of 3.00 × 10 5 m/s directly toward a uranium nucleus 5.00 m away. The proton is repelled by the uranium nucleus with a force of magnitude F = α / x 2 , where x is the separation between the two objects and a −2.12 × 10 −26 N·m 2 . Assume that the uranium nucleus remains at rest, (a) What is the speed of the proton when it is 8.00 × 10 −10 m from the uranium nucleus? (b) As the proton approaches the uranium nucleus, the repulsive force shows down the proton until it comes momentarily to rest, after which the proton moves away from the uranium nucleus. How close to the uranium nucleus does the proton get? (c) What is the speed of the proton when it is again 5.00 m away from the uranium nucleus?
CALC Proton Bombardment. A proton with mass 1.67 × 10−27 kg is propelled at an initial speed of 3.00 × 105 m/s directly toward a uranium nucleus 5.00 m away. The proton is repelled by the uranium nucleus with a force of magnitude F = α/x2, where x is the separation between the two objects and a −2.12 × 10−26 N·m2. Assume that the uranium nucleus remains at rest, (a) What is the speed of the proton when it is 8.00 × 10−10 m from the uranium nucleus? (b) As the proton approaches the uranium nucleus, the repulsive force shows down the proton until it comes momentarily to rest, after which the proton moves away from the uranium nucleus. How close to the uranium nucleus does the proton get? (c) What is the speed of the proton when it is again 5.00 m away from the uranium nucleus?
A cosmic ray muon with mass
mμ = 1.88 ✕ 10−28 kg
impacting the Earth's atmosphere slows down in proportion to the amount of matter it passes through. One such particle, initially traveling at 2.42 ✕ 106 m/s in a straight line, decreases in speed to 1.60 ✕ 106 m/s over a distance of 1.10 km.
(a) What is the magnitude of the force experienced by the muon? N(b) How does this force compare to the weight of the muon?
|F|
Fg
=
The carbon isotope 14C is used for carbon dating of archeological artifacts. 14C (mass 2.34 x 10-26 kg) decays by the process known as beta decay in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron (mass 9.11 x 10-31 kg) has a speed of 5.00 x 107 m/s and the neutrino has a momentum of 8.00 x 10-24 kg • m/s. What is the recoil speed of the nucleus?
A nucleus that captures a stray neutron must bring the neutron to a stop within the diameter of the nucleus by means of the strong force. That force, which “glues” the nucleus together, is approximately zero outside the nucleus. Suppose that a stray neutron with an initial speed of 1.7 × 107 m/s is just barely captured by a nucleus with diameter d = 1.1 × 10-14 m. Assuming that the strong force on the neutron is constant, find the magnitude of that force. The neutron's mass is 1.67 × 10-27 kg.
Chapter 6 Solutions
University Physics with Modern Physics (14th Edition)
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