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PRACTICEIntermediate · Single correct

PRACTICE / Circular force balance

How much inward force is required?

A 0.50 kg object moves at 6 m/s on a circle of radius 3 m.

Find the net inward force.

Organize the givens & assumptions
  • m = 0.50 kg
  • v = 6 m/s
  • r = 3 m

Uniform circular motion in an inertial frame; stated radius is measured from the circle centre.

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Problem: How much inward force is required?
A 0.50 kg object moves at 6 m/s on a circle of radius 3 m.
Question: Find the net inward force.
Givens:
- m = 0.50 kg
- v = 6 m/s
- r = 3 m
Assumptions: Uniform circular motion in an inertial frame; stated radius is measured from the circle centre.
Choices (LaTeX):
A. 18\ \mathrm N
B. 0\ \mathrm N
C. 6\ \mathrm N
D. 1\ \mathrm N

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
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