Question

object of 8 kg is pulled by a force of 80 N then what is the acceleration of the object ?
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Answer 1

$\underline {\underline{{\purple{ \sf Given }}}}$

• Mass = 8 kg
• Force = 80 N

$\underline {\underline{{ \purple{\sf To \: Find }}}}$

• Acceleration

$\underline {\underline{{ \green{\sf Calculating \: Acceleration }}}}$

Formula Used :- $\underline{\underline{\boxed{ \pink{\sf Force = Mass \times Acceleration}}}}$

Substituting Values

☛ 80 = 8 × a

☛ 80 = 8a

☛ 8a = 80

☛ $\sf a = \dfrac{80}{8}$

☛ a = 10

Therefore, Acceleration is 10 m/s²

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Answer 2

Question:

An object of 8 kg is pulled by a force of 80 N then what is the acceleration of the object ?

Solution:

${\underline {\underline {\boxed {\rm {\orange { Given : }}}}}}$

• Mass of the object = 8kg

• Force applied = 80N

${\underline {\underline {\boxed {\rm {\orange { To \: Find : }}}}}}$

• Acceleration of the object

${\underline {\underline {\boxed {\rm {\orange { Calculation : }}}}}}$

We know,

${\underline {\underline {\boxed {\bf {\purple { F= ma }}}}}}$

Where,

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

But in this case we have to find acceleration, so from this above formula we can say that,

${\underline {\underline {\boxed {\bf {\purple { Acceleration = \frac{Force}{mass} }}}}}}$

Now, substituting values according to formula-

$\sf\blue { \longrightarrow Acceleration = \frac{\cancel {80}}{\cancel {8}} }$

$\sf\blue { \longrightarrow Acceleration = 10m/s{}^{2}}$

Therefore, acceleration of the object is $\sf { 10m/s{}^{2} }$

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Additional Information-

☆ Force ☆

• Force is the push or pull that can change the speed, direction or shape of a body.

• The SI unit of force is Newton.

${\underline {\underline {\boxed {\sf {\blue { 1N = 1kg \:m/s{}^{2} }}}}}}$

• C.G.S unit of force is dyne.

${\underline {\underline {\boxed {\sf {\blue { 1N = {10}^{5} dyne}}}}}}$

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☆ Mass ☆

• Mass is the intrinsic property of the matter.

• The mass is the amount of the matter obtained and the material content of the body that always remain same.

• Mass is a scalar quantity.

• Si unit of mass is kg.

[ Remember, both weight and mass are different, never be confuse between them both.]

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☆ Acceleration ☆

• Acceleration is the rate of change of velocity per unit time.

${\underline {\underline {\boxed {\sf {\blue { Acceleration = \frac{change \: in \: velocity}{time \: taken } }}}}}}$

Formula of acceleration in Physics-

${\underline {\underline {\boxed {\sf {\blue { a = \frac{v-u}{t} }}}}}}$

Here,

✴ a is acceleration

✴ v is final velocity

✴ u is intial velocity

• Acceleration is a vector quantity.

• Si unit of acceleration is m/s².

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