document.write( "Question 46521:
\n" ); document.write( " Good evening, i have this problem about physic. i can not work out .Please would u work for me ?\r
\n" ); document.write( "\n" ); document.write( " Potential gravitational enery( defined as 'mass' mulitiplied by 'gravitational acceleration' by \"height\" - or mgh ) is one form of energy, and and kinetic energy ( defined as half the product of 'mass' mulitiply by 'velocity squared' - or mv2/2 ) is another. Assuming the conservation of energy ( and that there are no resisting forces ), from what height would a car have to fall to gain the kinetic energy it it would have when going at 60 kilometers per hour?\r
\n" ); document.write( "\n" ); document.write( " Please solve this problem for me.
\n" ); document.write( " Yours faithful student Emma Mode
\n" ); document.write( "

Algebra.Com's Answer #30833 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Start by letting P = Potential gravitational energy = mgh.
\n" ); document.write( "Let K = kinetic energy = \"mv%5E2%2F2\"\r
\n" ); document.write( "\n" ); document.write( "To answer the question, you should set the potential gravitational energy, P equal to the kinetic energy, K\r
\n" ); document.write( "\n" ); document.write( "\"mgh+=+mv%5E2%2F2\" Simplify this by dividing both sides by m.
\n" ); document.write( "\"gh+=+v%5E2%2F2\" Solve for h, the height.
\n" ); document.write( "\"h+=+v%5E2%2F2g\"\r
\n" ); document.write( "\n" ); document.write( "v is the velocity of the car (60 kmph) and you will need to convert this to metres per second.
\n" ); document.write( "60 km = 60,000 metres
\n" ); document.write( "1 hour = 3,600 secs\r
\n" ); document.write( "\n" ); document.write( "So, 60 kmph = 60,000m per 3,600 secs. Simplifying this we get:
\n" ); document.write( "v = 16.67 m/sec. Square this for \"v%5E2\"
\n" ); document.write( "\"v%5E2+=+277.8\" m^2/sec^2\r
\n" ); document.write( "\n" ); document.write( "g (the gravitational constant of acceleration) is 0.98 m/sec^2
\n" ); document.write( "Now you can find the height, h.\r
\n" ); document.write( "\n" ); document.write( "\"h+=+277.8%2F2%280.98%29\"
\n" ); document.write( "\"h+=+141.7\" metres
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