True or false
Force and weight have same units
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6
Explanation:
yes SI unit of weight is the same as that of force: the newton (N) – a derived unit which can also be expressed in SI base units as kg⋅m/s2 (kilograms times metres per second squared).
Answered by
1
It is true that, force and weight have same units.
- Force can be mathematically expressed as :
Force = Mass × Acceleration
- SI unit of mass = Kg
- SI unit of acceleration = m/s²
- So, SI unit of force = Kg.m/s²
- Now, this Kg.m/s² unit popularly termed as the Newton (N).
- 1 kg.m/s² = 1 Newton
Similarly,
- Weight can be mathematically expressed as :
Weight = Mass × Gravitational acceleration
(Gravitational acceleration is also a type of acceleration, so the mathematical expression of weight will be equivalent to the mathematical expression of force. Units will be also equivalent.)
- SI unit of mass = Kg
- SI unit of gravitational acceleration = m/s²
- So, SI unit of weight = Kg.m/s²
- And, as mentioned already, Kg.m/s² is popularly termed as Newton (N).
- Which means, unit of force and weight are same.
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