Data:
KE (Kinetic Energy) = 8000000 Joules
m (mass) = 10000 Kg
v (speed) = ? (m/s)
Formula:
\(v=\sqrt{\frac{2KE}{m}}\)
Solving:
\(v=\sqrt{\frac{2KE}{m}}\)
\(v=\sqrt{\frac{2*8000000}{10000}}\)
\(v = \sqrt{ \frac{1600\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0} }\)
\(v = \sqrt{1600}\)
\(\boxed{\boxed{v = 40\:m/s}}\end{array}}\qquad\quad\checkmark\)
Another way to do:
Formula:
\(K_{E} = \frac{1}{2}*m*v^2\)
Solving:
\(K_{E} = \frac{1}{2}*m*v^2\)
\(8000000 = \frac{1}{2}*10000*v^2\)
\(8000000*2 = 1*10000*v^2\)
\(16000000 = 10000v^2\)
\(10000v^2 = 16000000\)
\(v^2 = \frac{1600\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}\)
\(v^2 = 1600\)
\(v = \sqrt{1600}\)
\(\boxed{\boxed{v = 40\:m/s}}\end{array}}\qquad\quad\checkmark\)
