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A mass of 55.0kg is 225m above the ground with a velocity of 36.0 m/s. Use conservation of energy to calculate is velocity when it reaches a height of 115m above the ground. Ignore the effects of air resistance. 

4 years ago

Answered By Harsh P

Decreament in P.E.= Increament in K.E.

mg(h1 - h2) = m(V22- V12)

9.8 ( 225-115) = V22 - 362

so,V22= 2374

V2= 48.72


4 years ago

Answered By Harsh P

Decreament in P.E.= Increament in K.E.

mg(h1 - h2) =(1/2) m(V22- V12)

9.8 ( 225-115) = (1/2)*(V22 - 362)

so,V22= 3452

V2= 58.75

Sorry for previous solution


4 years ago

Answered By Majid B

 $E_i=E_f$Ei=Eƒ                            =>          $E_{ki}+E_{pi}=E_{kf}+E_{pf}$Eki+Epi=E +E       =>        $\frac{1}{2}mv_i^2+mgh_i=\frac{1}{2}mv_f^2+mgh_f$12 mvi2+mghi=12 mvƒ 2+mghƒ      =>   $\frac{1}{2}v_i^2+gh_i=\frac{1}{2}v_f^2+gh_f$12 vi2+ghi=12 vƒ 2+ghƒ      =>          $v_f^2=v_i^2+2g\left(h_i-hf\right)$vƒ 2=vi2+2g(hi )     =>        $v_f=\sqrt{v_i^2+2g\left(h_i-hf\right)}$vƒ =vi2+2g(hi )              =>     $v_f=\sqrt{36^2+2\times9.81\left(225-115\right)}$vƒ =362+2×9.81(225115)   

$v_f=58.77$vƒ =58.77 m/s