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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:​​


Sagot :

Step-by-step explanation:

[tex]\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}[/tex]

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 : 

[tex]\underline {\pmb{\sf \: F\:=\:m\:\times \:a \:}}[/tex]

[tex]\\ \twoheadrightarrow \sf F \:=\:m\:\times \:a[/tex]

[tex]: \rightarrow \sf 4 \:\times 10^5 \:=\:m\:\times \:5\:[/tex]

[tex] \\ \\ \\ \\\twoheadrightarrow \sf 4 \:=\:m\:\times \:5\:\:\Bigg\lgroup \:1 \:N\:=\:1\:\times 10^5\:dynes\:\Bigg\rgroup\\[/tex]

[tex]\\ \twoheadrightarrow \sf 4 \: \:=\:m\:\times \:5\:\\\\\\[/tex]

[tex] \twoheadrightarrow \sf 5m\:=\:4\:\\[/tex]

[tex]\twoheadrightarrow \sf m \cancel{\dfrac{4}{5}}\\\\[/tex]

[tex]\ \twoheadrightarrow \pmb {\underline {\boxed {\purple {\:\frak{ \:m\:\:=\:0.8\:kg\:}}}}}\:\bigstar \: \\[/tex]

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

Answer:

Tha mass of the body is 0.8 kilo gram (kg).

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