Given:
The kinetic energy of roller coaster is K=800000 J.
The speed of roller coaster is v=40 m/s.
The formula for kinetic energy is given as,
[tex]K=\frac{1}{2}mv^2[/tex]Substitute the known values in the formula,
[tex]\begin{gathered} 800000\text{ J=}\frac{1}{2}m(40m/s)^2 \\ m=\frac{2(800000\text{ J)}}{(40m/s)^2}(\frac{1kgm^2s^{-2}^{}}{1\text{ J}})_{} \\ =1000\text{ kg} \end{gathered}[/tex]Thus, the mass of roller coaster is 1000 kg.
