Question

A) a roller coaster it's traveling with a velocity of 20 m/s at the top of an incline. If the incline has a height of 10m, determine the coasters velocity at the middle of the incline. Neglect friction and use 10 m/s^2 for gravity

B) a vehicle weighing 15000 nt is traveling at 50 m/s in the i direction. It collides with a wall and stops in 1/10 second. If the collision was inelastic, determine the average force of the vehicle on the wall.

Answer 1

A) a roller coaster it's traveling with a velocity of 20 m/s at the top of an incline. If the incline has a height of 10m, determine the coasters velocity at the middle of the incline. Neglect friction and use 10 m/s^2 for gravity

the principle of conservation of mechanical energy is used

The mechanical energy at the highest point equals

where:

body mass

initial height

speed at the top

In the middle of the height mechanical energy is

where:

body mass

initial height

speed

As the mechanical energy is conserved

replacing

simplifying m

expression for speed

evauando numerically

B) a vehicle weighing 15000 nt is traveling at 50 m/s in the i direction. It collides with a wall and stops in 1/10 second. If the collision was inelastic, determine the average force of the vehicle on the wall.

The average force is equal to

where:

The impulse is the variation of momentum

After the collision speed

  

initial speed

duration of the interaction

Mass of vehicle

evaluated numerically

the average force is then