(a)
The minimum distance between the proton and the nucleus.
(a)
Answer to Problem 119P
The minimum distance between the proton and the nucleus is
Explanation of Solution
Write the expression for the law of conservation of momentum.
Here,
Rewrite the above equation to find the velocity of the Lithium nucleus.
Write the expression for the law of conservation of energy.
Here,
Rewrite the above equation to find the minimum distance between the proton and the nucleus.
Conclusion:
Substitute
Substitute
Therefore, the minimum distance between the proton and the nucleus is
(b)
The recoil speed of the nucleus.
(b)
Answer to Problem 119P
The recoil speed of the nucleus is
Explanation of Solution
Write the expression for momentum conservation when particles are separated by large distances.
Write the expression for velocities after collision.
Conclusion:
Substitute
Substitute
Solve equations (V) and (VI) to find the speed of the recoil nucleus.
Therefore, the recoil speed of the nucleus is
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