mayankdevnani
  • mayankdevnani
A body of mass 2 kg is thrown up vertically with a kinetic energy of 490 J.If the acceleration due to gravity is 9.8 m/s^2, the height at which the kinetic energy of the body becomes half of the original value is - a) 50 m b) 25 m c) 12.5 m d) 10 m
Physics
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SOLVED
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schrodinger
  • schrodinger
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mayankdevnani
  • mayankdevnani
@Hero @hartnn @Chlorophyll @robtobey @sauravshakya @kropot72 @jiteshmeghwal9 @hba
mayankdevnani
  • mayankdevnani
@mathslover have a look:)
mathslover
  • mathslover
First find the original value ... what you get?

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More answers

mayankdevnani
  • mayankdevnani
original value????
mathslover
  • mathslover
sorry i think it is given
anonymous
  • anonymous
Potential energy of the body =mgh
anonymous
  • anonymous
u know it?
mayankdevnani
  • mayankdevnani
ok!!
mayankdevnani
  • mayankdevnani
yaa
mathslover
  • mathslover
490 J = KE (ORIGINAL)
mayankdevnani
  • mayankdevnani
yaa
mathslover
  • mathslover
half of it will be 490 /2 J = 245 J , correct?
mayankdevnani
  • mayankdevnani
why you do the half the K.E @mathslover
mathslover
  • mathslover
@mayankdevnani because we have to find the height when the new kinetic energy equals half of the original one. ...
mayankdevnani
  • mayankdevnani
@03225186213
mathslover
  • mathslover
therefore the new kinetic energy must be equal to 245 Joules.
mayankdevnani
  • mayankdevnani
yaa
mayankdevnani
  • mayankdevnani
correct!!!
mathslover
  • mathslover
therefore we have : 1/2 m v^2 = 245 J 1/2 m (u^2 + 2gh ) = 245 J 1/2 m (2gh) = 245 mgh = 245 J 2 kg * 9.8 * h = 245
mathslover
  • mathslover
solve for h and you will get h = 12.5 m
mayankdevnani
  • mayankdevnani
1/2 m (u^2 + 2gh ) = 245 J ??????????????
mathslover
  • mathslover
got it?
mayankdevnani
  • mayankdevnani
no!!!!
mayankdevnani
  • mayankdevnani
1/2 m (u^2 + 2gh ) = 245 J this line!!!
mathslover
  • mathslover
since v^2 = u^2 + 2gh therefore..
mayankdevnani
  • mayankdevnani
ok
mayankdevnani
  • mayankdevnani
thnx.... i got it @mathslover
mathslover
  • mathslover
good,...
mayankdevnani
  • mayankdevnani
let @03225186213 be answer.... plz wait
anonymous
  • anonymous
1/2 mv^2=mgh 490/2=2 (-9.8)h h= -9.8 because it is moving against gravity
mathslover
  • mathslover
@03225186213 same I thought BUT it is given in the quest. that g = 9.8 m/s^2
mayankdevnani
  • mayankdevnani
yaaa you are correct thnx @mathslover and @03225186213
anonymous
  • anonymous
welcome
mayankdevnani
  • mayankdevnani
:)

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