Question

A cricket ball bowled with speed of 144Km/hr possess a kinetic energy of 160J, then mass of the cricket ball is
​

Answer 1

Given : The Speed ( or Velocity ) of ball is is 144 km/hr & Posses a Kinetec Energy of 160 Joules .

Need To Find : The Mass of the ball ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀☯︎⠀ We've Provided with the Kinetic Energy ( K.E. ) the Posses by ball and the Speed ( v ) at which the ball is bowled and , we'll find the Mass ( m ) of the ball using Formula for Kinetic Energy [ K.E. ] .

》 Formula for Kinetic Energy is given by —

$\qquad \star \:\pmb{\underline {\boxed {\sf \:\:K.E. \:\:=\:\:\dfrac{1}{2}\:\times \:mv^2\:\:}}}\:$

$\pmb{\frak{Where \:}}\:\begin{cases}\:\quad \sf Kinetic \:Energy \:,\:K.E\:=\:\pmb{\frak{160\:J}}\:\\\:\quad \sf Velocity \:,\:v \:=\:\pmb{\frak{ 144\:km/hr\:}}\:\\\:\quad \sf Mass\:,\:m\:=\: \pmb{\frak{ ?}}\:\end{cases}$

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

$\dashrightarrow \sf \:\:K.E \:\:=\:\:\dfrac{1}{2}\:\times \:mv^2\:\\\\\\ \dashrightarrow \sf \:\:160\:\:=\:\:\dfrac{1}{2}\:\times \:m(144)^2\:\\\\\\ \dashrightarrow \sf \:\:160\:\:=\: \:m(72)^2\:\\\\\\ \dashrightarrow \sf \:\:160\:\:=\: \:5184m\:\\\\\\\dashrightarrow \sf \:\:5184m\:\:=\: \:160\:\\\\\\\dashrightarrow \sf \:\:m\:\:=\: \:\cancel{\dfrac{160}{5184}}\:\\\\\\\dashrightarrow \pmb {\underline {\boxed {\purple {\:\frak{ \:m\:\:=\:0.030\:kg\:}}}}}\:\bigstar \:$

$\therefore \:\underline {\sf Hence, \:Mass\:of\:the\:ball\:is\:\pmb{\sf 0.030\:kg\:}\:.\:}$