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
=
A particle of mass 1.06 kg begins at rest and is then subject to a force in the positive x direction that changes with time as given by the following function: F = mg[1-e-2.1t ], where g is the acceleration due to gravity.
Part (a) Determine the change in the velocity Δv of the particle between t = 0 and t = 2.4 sec.
Part (b) Determine the change in x-coordinate of the particle Δx between t = 0 and t = 2.4.
A machine gun fires 150 g bullets at a speed of 1000 m/s. The gunman holding the machine gun in his hands can exert an average force of 200 N against the gun. Find the maximum number of bullets that can be fired per minute.
70
60
90
80
College Physics: A Strategic Approach (3rd Edition)
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