Question

A solid body weighs 900N. It is placed on the ground. The area of contact is 6m2.Find the pressure exerted by the body on the ground

Answer 1

Given : The weight of solid of body ( or exerted force ) is 900 N & Area on which Force is exerted is 6 m² .

Need To Find : Pressure Exerted by body on ground ?

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We're Provided the Weight of Solid body and Area on which Force is Exerted and We'll find Pressure exerted on ground by using relation b/w Force , Pressure & Area . It's Given by :

$\qquad \star\:\underline {\boxed {\pmb{\frak{\:Pressure \:=\:\dfrac{Force _{\:(Exerted)}}{Area}\:}}}}\:$

$\\\pmb{\sf{Where \:}}\:\begin{cases}\:\quad \sf Force \:=\:\pmb{\frak{900\:N}}\:\\\:\quad \sf \:Area \:=\:\pmb{\frak{ 6\:m^2\:}}\:\end{cases}$

$\qquad \dag\underline {\frak{ Substituting \:Known\:Values\:in\:Given \:Formula \:\::\:}}$

$\dashrightarrow \sf\: Pressure \:=\:\dfrac{Force _{\:(Exerted)}}{Area}\:\\\\\\ \dashrightarrow \sf\: Pressure \:=\:\dfrac{900}{6}\:\\\\\\ \dashrightarrow \sf\: Pressure \:=\:\cancel{\dfrac{900}{6}}\:\\\\\\ \dashrightarrow \underline {\boxed { \pmb{\frak{ Pressure \:=\:150\:Pa\:}}}}\:\bigstar$

$\therefore \:\underline {\sf Hence, \:Pressure \:on\:ground \:is\:\pmb{\sf \:150\:Pa\:}\:.}$