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Solved: CALC Proton Bombardment. A proton with mass 1.67 X
Chapter 6, Problem 76P(choose chapter or problem)
Problem 76P
CALC Proton Bombardment. A proton with mass 1.67 X 10-27 kg is propelled at an initial speed of 3.00 X 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 α = 2.12 X 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 X 10-10 m from the uranium nucleus? (b) As the proton approaches the uranium nucleus, the repulsive force slows down the proton until it comes momentarily to rest, after which the pro-ton 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?
Questions & Answers
QUESTION:
Problem 76P
CALC Proton Bombardment. A proton with mass 1.67 X 10-27 kg is propelled at an initial speed of 3.00 X 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 α = 2.12 X 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 X 10-10 m from the uranium nucleus? (b) As the proton approaches the uranium nucleus, the repulsive force slows down the proton until it comes momentarily to rest, after which the pro-ton 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?
ANSWER:Solution 76 P
Step 1:
Mass of proton
Initial speed
Distance
Repelling force
We need to find the speed of the proton when it is distance