Question

If an unbalance force of 200 Newton acts on a body to accelerate it at 10m/s^2, what is the mass of the body?

Answer 1

Given:

• Force,F = 200 N

• Acceleration,a = 10 m/s²

To be calculated:

Calculate the mass of the body?

Formula used:

Force = Mass × Acceleration

Solution:

We know that,

F = m × a

★ Substituting the values of F and m in the above formula,we get

⇒ 200 = m × 10

⇒ Mass,m = 200 / 10

⇒ Mass,m = 10 kg

Thus,the mass of given body is 10 kg.

Additional information :

★Mass : Measure of inertia of body.

• S.I unit of mass is kilogram ( kg )

• Mass is scalar quantity ( it has only magnitudes but no direction ).

• Mass of body doesn't change from place to place.

Answer 2

$\large{\underline{\sf{\red{Given-}}}}$

• $\sf{Force (F) = 200 Newton}$

• $\sf{Acceleration (a) = 10m/s^2}$

$\large{\underline{\sf{\blue{To \: Find-}}}}$

• $\sf{Mass (m) = ?}$

$\large{\underline{\sf{\purple{Solution-}}}}$

$\sf{We \: Know \: Formula \: For \: Force,}$

$\boxed{\sf\green{★ \:Force = Mass × Acceleration}}$

$\sf{substituting \: Values,}$

$:\implies\rm{200 = m \times 10}$

$:\implies\rm{m = \frac{200}{10} }$

$:\implies\rm{m = \frac{\cancel{200}}{\cancel{10}}}$

${\underline{\boxed{\rm{:\implies Mass = 20Kg}}}}$

$\sf{Thus,}$

• Mass of the body is 10kg.