document.write( "Question 1056860: A potential function is given by U(x) = 15 x^2. What will be the acceleration (in meters/second ^2) of a 2.00 kg mass, when it is at the position x = 0.300 m?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #671972 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A potential function is given by U(x) = 15 x^2. What will be the acceleration (in meters/second ^2) of a 2.00 kg mass,
\n" ); document.write( "when it is at the position x = 0.300 m?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "In a potential field U(x) the force acting to the mass \"m\" is\r\n" );
document.write( "\r\n" );
document.write( "F = \"-m%2A%28%28dU%29%2F%28dx%29%29\".\r\n" );
document.write( "\r\n" );
document.write( "In our case this force is F = -m*(30x) = -30mx.\r\n" );
document.write( "\r\n" );
document.write( "Hence, the acceleration is\r\n" );
document.write( "\r\n" );
document.write( "a = \"F%2Fm\" = -30x.\r\n" );
document.write( "\r\n" );
document.write( "Substitute your data:\r\n" );
document.write( "\r\n" );
document.write( "a = -30*0.300 = -9 \"m%2Fs%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "The sign \"-\" means that the force and the acceleration are directed to the origin of the coordinate system.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "I hope that the expression for U(x) is given in appropriate units.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );