We know that in physics the momentum of an object is defined as the product of mass by the velocity of the object.
That is to say:
[tex]P = mv[/tex]
Where P is the momentum = [tex]2.5\ x\ 10^4[/tex] kilograms meters/second
m is the mass
v is the object velocity = 30 m/s
In this problem we have the momentum of the roller coaster and its speed, but we want to find its mass. Then we divide the momentum between speed.
[tex]\frac{p}{v} = m[/tex]
[tex]m = \frac{2.5\ x\ 10^4}{30}[/tex]
[tex]m = 833.33\ kg[/tex]
The mass is 833.33 kg