Use the law of conservation of energy (assume no friction nor air resistance) to determine the kinetic and potential energy at t
he various marked positions along the roller coaster track below: KE= ME PER KE PE=20 000J KE=25 000J PE= mgh PE=_ KE= KE KE=OJ PE-7 500J PE=5 000J PE- D Ε. Voc KE=/m 12 KE- PEN KE=_ PE=__ KE=40 000J PE=OJ What is the total mechanical energy of the roller coaster throughout the ride? Explain how you determined ME.
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1) In a circular motion, the angular displacement 
is given by
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
. Using the information about the radius, 
, we find the total angular displacement:
2) If we put larger tires, with radius
, the angular displacement will be smaller. We can see this by using the same formula. In fact, this time we have:
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
2) If we put larger tires, with radius