A Levels Physics (9702)•9702/12/O/N/19

Explanation
Force balance at terminal velocity Steps:
- Identify forces: gravitational force mg downward, electric force qE upward, air resistance kv upward (proportional to speed v).
- At terminal speed, net force is zero: mg = qE + kv.
- Rearrange for v: v = (mg - qE)/k.
- v decreases linearly with increasing E, with negative slope -q/k.
Why A is correct:
- Graph A shows v decreasing linearly with E, matching v = (mg - qE)/k from Newton's second law at equilibrium.
Why the others are wrong:
- B shows v increasing with E, contradicting electric force opposing gravity.
- C shows nonlinear decrease, but resistance is linear in v, yielding linear relation.
- D shows constant v, ignoring electric field's effect on balance.
Final answer: A
Topic: Uniform electric fields
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