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The weight of an object is the product of its mass, m , and the acceleration of gravity, g (where g=9.8 m/s 2 ). If an object’s mass is m=10. kg , what is its weight?

Sagot :

The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s2 ). Therefore, If an object’s mass is m=10 kg, its weight will be 98 Newton.

Further Explanation

Mass  

  • Mass is the amount of matter in a body or a substance. Mass is measured in kilograms and measured using a beam balance.
  • Mass of an object or a body remains constant everywhere that is, it does not change with the gravitational pull or with the body’s location.

Weight  

  • Weight is the measure of the gravitational pull of gravity of an object.
  • Weight is measured in Newton using a spring balance. It is a vector quantity and its direction is towards the center of the planet.
  • Weight changes with location of a body or gravitational acceleration as it is dependent on gravity.
  • It changes depending on the amount of gravitational pull exerted by an object on a body, such that the more the gravity the heavier the object and the less the gravity the lighter the object.
  • Weight is given by multiplying the mass of a body by the gravitational acceleration
  • That is; Weight = mass (M) x gravitation pull (g)

                      W = Mg  

Therefore;  

A body with a mass of 10 Kg on a surface with a gravitational acceleration of 9.8 m/s2 will have a weight equivalent to;

Weight = Mg  

             = 10 Kg x 9.8 N/m2  

              = 98 N

Keywords: Weight, mass, gravitational acceleration  

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Level: High school  

Subject: Physics  

Topic: Mass and weight  

The weight of the object of mass [tex]10\text{ kg}[/tex] will be [tex]\boxed{98\text{ N}}[/tex].

Explanation:

The mass of a body is defined as the physical quantity that represents the amount of matter contained inside the body. The mass of a body always remains constant and it does not depend on any factor.

The weight of a body is measured as the amount of force by which the Earth's gravity pulls a body towards itself. The weight of a body is measured in terms of Newtons and it is measured using any balance that measures the force.

The weight of a body is dependent on the acceleration due to gravity of the surface and it changes from one planet to another. The weight of a body is given as the product of the mass and the acceleration due to gravity on the surface.

The weight of a body is determined by the following equation.

[tex]\boxed{W=m.g}[/tex]

Here, [tex]W[/tex] is the weight of the object, [tex]m[/tex] is the mass of the object and [tex]g[/tex] is the acceleration due to gravity on the surface of planet.

Substitute the values in above expression.

[tex]\begin{aligned}W&=(10\text{ kg})(9.8\text{ m/s}^2)\\&=98\text{ N}\end{aligned}[/tex]

Thus, The weight of the object of mass [tex]10\text{ kg}[/tex] will be [tex]\boxed{98\text{ N}}[/tex].

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Weight

Keywords:

weight, object, mass, product, acceleration, gravity, matter, contained, planet, constant, changes, depends, balance.