Question

A force of 50 dynes acts on a mass of 10 gms. What acceleration is produced by theforce ?​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A force of 50 dynes acts on a mass of 10 gms. What acceleration is produced by theforce ?

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Force (F) = 50 dynes

in Newton ➝

$\implies{\sf 1\:dyne=10^{-5}N}$

⛬ $\implies{\sf \pink{50\:dynes=5×10^{-4}N}}$

• Mass (m) = 10 g

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

• Acceleration.(a)

Newton's Second Law of Motion ➝

❏$\large{\boxed{\bf \blue{Force(F)=ma} }}$

$\implies{\sf 5×10^{-4}=10×a}$

$\implies{\sf a = \dfrac{5×10^{-4}}{10} }$

$\implies{\sf a = 0.5×10^{-4} }$

$\implies{\bf \red{Acceleration (a )= 5×10^{-3}m/s^2 }}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Acceleration is produced by the force is ${\bf \red{5×10^{-3}m/s^2}}$.

Answer 2

$\huge \fcolorbox{red}{pink}{Solution :)</p><p>}$

Given ,

Force = 50 dyne

Mass = 10 gram

In terms of SI unit ,

Force = 50/1 × (10)^5 N or 50 × (10)^-5 N

Mass = 1/(10)² kg or (10)^-2

Because , 1 newton = (10)^5 dyne & 1 kg = (10)³ gram

We know that ,

$\large \mathtt{ \fbox{Force = mass × acceleration }}$

Substitute the known values , we get

$\sf \hookrightarrow Acceleration = \frac{50 \times {(10)}^{ - 5} }{ {(10)}^{ - 2} } \\ \\ \sf \hookrightarrow Acceleration = 50 \times {(10)}^{ - 3} \\ \\ \sf \hookrightarrow Acceleration = 0.050 \: \: m/ {s}^{2}$

Hence , the required value of acceleration is 0.050 m/s²

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