What is the unit of friction force and what is the unit of coefficient of friction?

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Question restatement: What is the unit of friction force and what is the unit of coefficient of friction?

Option a: Friction force has no unit and the coefficient of friction is in Newton.
- This is incorrect because friction force is a measurable force and is expressed in units of force (newtons, N). Saying it has no unit contradicts the basic definition of force.
- The coefficient of friction is a dimensionless quantity; it does not have units. So the assertion that the coefficient is in Newton is also wrong.

Option b: Friction force is in Newton and the coefficient of friction is also in Newton.
- The friction force is indeed measured in Newtons, but the coefficient of friction is not measured in any unit; it is dimensionless. Claiming the coefficient has units (Newton) is incorrect.

Option c: Friction force is in kg and the coefficient of friction is in metre.
- This is incorrect on two counts: friction force is not measured in kilograms (kg is a unit of mass, not force). Additionally, the coefficient of friction is not measured in metres (metre is a unit of length); it is dimensionless.

Option d: Friction force is in Newton and the coefficient of friction has no unit.
- This statement aligns with standard physics: friction force is a force and is measured in newtons (N). The coefficient of friction is a dimensionless ratio (mu = F_friction / N) and has no units. This makes option d the accurate description among the given choices.

In summary, the key ideas are that force units are newtons, and the friction coefficient is a unitless ratio. The other options erroneously assign inappropriate units to either the friction force or the coefficient of friction, or both.

UCIC 202503 PHYS101 Quiz 2

What is the unit of friction force and what is the unit of coefficient of friction?

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