Read the scenario and solve these two problems.
When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic
energy of the train at top speed is
Given this kinetic energy, what is the tallest hill this roller coaster train can reach the top of?
The train can climb a hill that is m high.

Answers:

a) 5400000 J

b) 45.92 m

Explanation:

a) The kinetic energy of an object is given by:

Where:

is the mass of the train

is the speed of the train

Solving the equation:

This is the train's kinetic energy at its top speed

b) Now, according to the Conservation of Energy Law, the total initial energy is equal to the total final energy:

Where:

is the train's initial kinetic energy

is the train's initial potential energy

is the train's final kinetic energy

is the train's final potential energy, where is the acceleration due gravity and is the height.

Rewriting the equation with the given values:

Finding :

answer a fan shaped mass of sediment deposited at the base of a mountain front do to an abrupt change in stream gradient;