Units & Definitions – Definition of the Newton (N)\nA newton is defined as the magnitude of force which, acting on a mass of 1 kg, produces an acceleration of 1 m/s^2 in the direction of the force. Is this definition correct?

Introduction / Context:
SI base and derived units are core to engineering problem solving. The newton (N) is the SI unit of force, defined via Newton’s second law.

Given Data / Assumptions:

• SI units throughout: mass in kilogram, length in meter, time in second.
• Linear acceleration scenario.

Concept / Approach:
Newton’s second law states F = m * a. Setting m = 1 kg and a = 1 m/s^2 gives F = 1 N by definition.

Step-by-Step Solution:
Use F = m a. Let m = 1 kg, a = 1 m/s^2. Then F = 1 kg * 1 m/s^2 = 1 N.

Verification / Alternative check:
Dimensional analysis: [N] = kg·m/s^2.

Why Other Options Are Wrong:
'No': contradicts the SI definition. 'Only in cgs': cgs uses dyne, not newton. Rotational motion: torque unit is N·m, not N; definition remains linear and exact.

Common Pitfalls:
Mixing SI and cgs units; always keep consistency.

Final Answer:
Yes