Question

1. An object is accelerated at a rate of 5 m/s²? Find the mass of the object if the force exerted on it is 4 x 10⁵dynes. (Note: 1 N = 1 10⁵ dynes)
Given:
Unknown:
Formula:
Solution:
Final answer:​​

Answer 1

Step-by-step explanation:

$\begin{gathered}\frak \red{Given}\:\begin{cases} \:\quad\sf Acceleration \:of \ \: a\:body\:,\:a\:=\:\pmb{\frak{5\:m/s^2\:}}\:\\ \:\quad\sf Force \:Exerted\:on\:a\:body\:,\:F\:=\:\pmb{\frak{\:4\times 10^5\: dynes\:}}\:\end{cases}\\\\\end{gathered}$

Need To Find : 

• The mass of a body ?

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We're Provided with the , Acceleration (a) , and Force Exerted (F) on a body and , we'll find Mass (m) of the object using the relation

 between Force , Mass & Acceleration  and, that is : 

$\underline {\pmb{\sf \: F\:=\:m\:\times \:a \:}}$

$\\ \twoheadrightarrow \sf F \:=\:m\:\times \:a$

$: \rightarrow \sf 4 \:\times 10^5 \:=\:m\:\times \:5\:$

$\\ \\ \\ \\\twoheadrightarrow \sf 4 \:=\:m\:\times \:5\:\:\Bigg\lgroup \:1 \:N\:=\:1\:\times 10^5\:dynes\:\Bigg\rgroup$

$\\ \twoheadrightarrow \sf 4 \: \:=\:m\:\times \:5\:$

$\twoheadrightarrow \sf 5m\:=\:4\:$

$\twoheadrightarrow \sf m \cancel{\dfrac{4}{5}}$

$\ \twoheadrightarrow \pmb {\underline {\boxed {\purple {\:\frak{ \:m\:\:=\:0.8\:kg\:}}}}}\:\bigstar \:$

$\begin{gathered}\therefore \:\underline {\sf \: Hence,\:Mass\:of\:a\:body\:is\:\pmb{\sf 0.8\:kg\:}\:.}\:\\\\\end{gathered}$