document.write( "Question 1063987: A ball traveling at 30 m/s has 900 J of kinetic energy. What is the mass of the ball? \n" ); document.write( "
Algebra.Com's Answer #679025 by addingup(3677)![]() ![]() You can put this solution on YOUR website! KE = 0.5*(mv)2 \n" ); document.write( "900 = 0.5*(m*30)^2 \n" ); document.write( "900 = 450*m^2 \n" ); document.write( "900 = 450*^2 flip the equation to get the variable on the left side: \n" ); document.write( "450*m^2 = 900 \n" ); document.write( "m^2 = 2 \n" ); document.write( "m^2 - 2 = 0 \n" ); document.write( "m = (0 ± sqrt(0^2 - 4(-2)))/2 \n" ); document.write( "= ( ± sqrt(8))/2: \n" ); document.write( "m = sqrt(8)/2 or m = (-sqrt(8))/2 \n" ); document.write( "sqrt(8) = sqrt(2^3) = 2sqrt(2): \n" ); document.write( "m = (2 sqrt(2))/(2) or m = (-2 sqrt(2))/(2) \n" ); document.write( "(2 sqrt(2))/(2) = sqrt(2): \n" ); document.write( "m = sqrt(2) or m = (-2 sqrt(2))/(2) \n" ); document.write( "(2 (-sqrt(2)))/(2) = -sqrt(2): \n" ); document.write( "m = sqrt(2) or m = -sqrt(2) \n" ); document.write( "you are not looking for a negative number, so try sqrt(2) for your answer: \n" ); document.write( "mass = 1.414 \n" ); document.write( " |