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Physics 42 HW Solutions Chapter 25
Problems: 9, 12, 23, 33, 36, 40, 47, 51, 54, 55, 65, 66, 72
9. An insulating rod having linear charge density λ = 40.0 μC/m and linear mass
density μ = 0.100 kg/m is released from rest in a uniform electric field E = 100 V/m
directed perpendicular to the rod (a) Determine the speed of the rod after it has
traveled 2.00 m. (b) What If? How does your answer to part (a) change if the
electric field is not perpendicular to the rod? Explain.
25.40 This is very similar to the problem in chapter 23, #35. The teacher solution manual gives a bad answer.
You need to integrate with
dq= λ ds= λ Rθ → dV= (λ Rk / R )dθ → ∫ λ kdθ= λ k ∆θ .
Evaluating from π / 2 → 3π / 2 gives
V λ=
kπ (Q / L)kπ
c) Use conservation of momentum and energy and solve simulateously to find.
d) Solving for the velocity of m1 gives.