Question

The relation between the SI unit of force and the weight of a 1kg mass is:
A.)1kgf=1N
B.)1kgf=0.98N
C.)1kgf=9.8N
D.)1N=9.8kgf

Answer 1

Hint: To find the answer, we will use the formula to calculate force using mass and acceleration due to gravity, because the SI unit of force is Newton that is why we will use the formula of force here, to select one of the appropriate answers from the question.

Formula Used:
$\text{F=ma}$

Complete step-by-step answer:
Now, according to the question we need to find the relation between the SI unit of force and weight of 1kg mass,
As we know,
Force is the product of mass and acceleration due to gravity
\[\Rightarrow \text{F=m}\times \text{a}\]
Here, in this formula,
F represents the force, whose SI unit is Newton,
m is the mass and
a represents the acceleration due to gravity.
Now,
In the question it is given that the weight we have to take is 1kg of mass,
Means,
m=1kg,
Now, we know that the acceleration due to gravity on earth is $\text{9}\text{.8m}{{\text{s}}^{\text{-2}}}$,
So, now it's time to put the values in the formula, to get the answer,
$\Rightarrow \text{F=1}\times \text{9}\text{.8N}$
$\Rightarrow \text{1kgf=9}\text{.8N}$
Hence, we can conclude that the option C.) Is the correct answer, which is
C.)1kgf = 9.8N

Note: SI unit of Force is Newton. In this question, we are supposed to put the basic standard values and given values in the formula to get our final answer. There is nothing like any relation which is derived using various formulas, it is a simple value put in formula to get the answer.