When traveling at top speed, a roller coaster train with a mass of12,000 kg has a velocity of 30 m/s. the kinetic energy of the train at top speed is

The kinetic energy of the train at top speed is 5,400,000 J

Explanation:

Kinetic Energy

It's the capacity that an object has to do work in virtue of its velocity. If we use UI units for the mass and velocity, the kinetic energy is expressed in Joules, or Nw.m or . It can be computed with the formula

The roller coaster train has a mass of 12,000 kg and a velocity of 30 m/s. Replacing those values in the formula, we have:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west