Answer :
Weight = mass x gravitational acceleration = mg
m = 10kg
g = 9.8 m/s^2
So, weight = 10 x 9.8 = [tex]98 Kg-m/s^2[/tex]
m = 10kg
g = 9.8 m/s^2
So, weight = 10 x 9.8 = [tex]98 Kg-m/s^2[/tex]
The weight of the object is [tex]\boxed{98{\text{ N}}}[/tex] if its mass is 10 kg.
Further Explanation:
Weight of any substance is related to the force that acts on it. This force can either be due to gravity or by the reaction force. Most of the time, weight is defined as the force experienced by an object due to gravity and is the product of mass and acceleration due to gravity. It is denoted by W. Since weight is a force, its units are similar to that of force. Its SI unit is Newton (N) or kilogram meter per second [tex]\left( {{\text{kg}} \cdot {\text{m/}}{{\text{s}}^2}} \right)[/tex].
The formula to calculate the weight of an object is as follows:
[tex]{\text{W}} = {\text{mg}}[/tex] ...... (1)
Here,
W is the weight of the object.
m is the mass of the object.
g is the acceleration due to gravity.
The mass of the object is 10 kg.
The acceleration due to gravity is [tex]9.8{\text{ m/}}{{\text{s}}^2}[/tex].
Substitute these values in equation (1).
[tex]\begin{aligned}{\text{W}}&= \left({10{\text{ kg}}} \right)\left( {9.8{\text{ m/}}{{\text{s}}^2}} \right)\\&= 98{\text{ kg}} \cdot {\text{m/}}{{\text{s}}^2}\\\end{aligned}[/tex]
Since [tex]1{\text{ kg}} \cdot {\text{m/}}{{\text{s}}^2}[/tex] is equal to 1 N, the weight of the object can also be written as 98 N.
Learn more:
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Answer details:
Grade: Middle School
Chapter: Mass and weight
Subject: Chemistry
Keywords: weight, mass, acceleration, W, m, g, 10 kg, 9.8 m/s^2, object, 98 kg m/s^2, 98 N.
