a box of mass 2.0 keg starts from rest and slides Rollercoaster 0 4 m 3 m v=6m/s

Question

a box of mass 2.0 keg starts from rest and slides Rollercoaster 0 4 m 3 m v=6m/s 4 h=? Consider the above image of a rollercoaster. The coaster is frictionless and the mass of the coaster is 30 kg. Answer the following questions about position 1: What is the Potential Energy? | What is the Kinetic Energy? What is the Mechanical Energy? What is the velocity?| Answer the same Questions about Position 2: What is the Potential Energy? What is the Kinetic Energy? What is the Mechanical Energy? What is the velocity? [ Answer the same Questions about Position 3: What is the Potential Energy? What is the Kinetic Energy? what is the Mechanical Energy? What is the velocity?| Answer the following Questions about Position 4: What is the Potential Energy? [ What is the Kinetic Energy? What is the Mechanical Energy? What is the height?| poules Doules oules m/s oules oules Doules /s Doules poules oules m/s oules boules oules meters

Explanation / Answer

1) potential energy=mgh=2*9.81*4=78.78

kinetic energy=0 (since it is at rest)

mechanical energy=78.78

velocity=0

2) potential energy=mgh=2*9.81*3=58.86

kinetic energy=total mechanical energy-potential energy=19.92

mechanical energy=78.78

velocity=4.42 ms-1

3)potential energy=mgh=2*9.81*0=0

kinetic energy=total mechanical energy-potential energy=78.78-0=78.78

mechanical energy=78.78

velocity=8.875 ms-1

4) kinetic energy=.5*m*v2=.5*2*6*6=36

potential energy=78.78-36=42.78

mechanical energy=78.78

height=(potential energy)/m*g=2.81 m

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