Question

Calculate the mass of an object that is accelerating 14 m/s^2 with a force of 280 N.

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Answer 1

★AnSwEr :

$\boxed {\boxed {\sf 20 \ kilograms }}$

★Explanation of the Answer :

Force is the product of mass and acceleration.

$\sf {F=m×a}$

We can find mass, since we know the acceleration and force.

The acceleration is 14 meters per square second. The force is 280 Newtons, but we should convert the units to make the problem simpler later on.

1 kilogram meter per square second is equal to 1 Newton.

280 Newtons are equal to 280 kg × m/s²

$\sf\mapsto F= 280 \ kg*m/s^2 \\ a= 14 \ m/s^2$

Substitute the values into the formula.

$\sf\mapsto {280 \ kg×m/s^2 = m× 14 \ m/s^2}$

We want to solve for the mass or m. Therefore we must isolate the variable on one side of the equation.

m is being multiplied by 14 m/s². The inverse of multiplication is division. Divide both sides of the equation by 14 m/s²

$\sf\mapsto\dfrac{280 \ kg×m/s^2}{14 \ m/s^2}=\sf\dfrac{m×14 \ m/s^2}{14 \ m/s^2}$

$\sf\mapsto\dfrac{280 \ kg×m/s^2}{14 \ m/s^2}=m$

•The m/s² will cancel, which is why we converted the units earlier.

$\sf\mapsto\dfrac{280 \ kg}{14 }=m$

$\sf\mapsto {20 \ kg=m}$

The mass of the object is 20 kilograms.

Answer 2

• Mass of object is 20 kg.

Explanation:

Given:-

• Acceleration is 14 m/s².
• Force is 280 N.

To find:-

• Mass of object.

Solution :-

Here,

We will use,

Newton's second law of motion :-

◆ F = ma

Where,

• F is force.
• m is mass.
• a is acceleration.

Now,

⇒ 280 = m × 14

⇒ 280/14 = m

⇒ m = 20

Therefore,

Mass of object is 20 kg.

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More information :

Force :-

• Force is any pull and push in any object.
• S.I unit of force is Newton or N.
• Force is vector quantity.

Mass :-

• Mass is property of object which does not change with places.
• S.I unit of mass is kilograms or kg.
• Mass is scalar quantity.

Acceleration :-

• Acceleration is the rate of change in velocity of object in per unit time.
• S.I unit of Acceleration is meter per second square or m/s²
• Acceleration is vector quantity.