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The students are riding the steel roller coaster, as shown. Assume the total mass of the roller coaster carts and the riders m-4200 kg is 4200.0 kg. If the tallest part of the roller coaster track is at 91.44 meters and the roller coaster reaches a maximum h,01.44 m velocity of 27.0 m/s at the bottom of the hill, what is the height of the lowest part of the track? Assume the track is frictionless and that the carts are going slow enough at the top of the hill that you can ignore any kinetic energy they might have at that point.

The students are riding the steel roller coaster, as shown. Assume the total mass of the roller coaster carts and the riders m-4200 kg is 4200.0 kg. If the tallest part of the roller coaster track is at 91.44 meters and the roller coaster reaches a maximum h,01.44 m velocity of 27.0 m/s at the bottom of the hill, what is the height of the lowest part of the track? Assume the track is frictionless and that the carts are going slow enough at the top of the hill that you can ignore any kinetic energy they might have at that point.

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The students are riding the steel roller coaster, as shown. Assume the total mass of the roller coaster carts and the riders is 4200.0 kg. If the tallest part of the roller coaster track is at 91.44 meters and the roller coaster reaches a maximum m- 4200 kg velocity of 27.0 m/s at the bottom of the hill, what is the height of the lowest part of the track? Assume the track is frictionless and that the carts are going slow enough at the top of the hill that you can ignore any kinetic energy they might have at that point. h, -01.44 m h,= ? 7. You happen to get on a roller coaster car at the same time as a lot of small children. "Are they even tall enough to be on this ride?" you wonder to yourself. Considering that there will be significantly less mass on this roller coaster train, how do you expect it to affect the ride? (ignore the effects of friction and air resistance) a. The ride will be able to go faster because even though it has the same amount of total energy, less mass will result in higher speeds. b. The ride will go slower because having less mass means that the ride will start with less gravitational potential energy at the top of the first hill. C. The ride will go at about the same speed because roller coasters are controlled by machines that compensate for the different mass of the passengers. d. The ride will go at about the same speed because it will start with less gravitational potential energy but it will require less kinetic energy to travel at the same speeds as usual. 8. What is the least amount of energy needed to bring a pot with 0.6 kg of water from 21 °C to a boil (100 °C)? (the specific heat of water is 4180J/kg °C) 9. What is the minimum amount of time needed to boil the water in question 8 using a 1500W electric stove?
Transcribed Image Text:The students are riding the steel roller coaster, as shown. Assume the total mass of the roller coaster carts and the riders is 4200.0 kg. If the tallest part of the roller coaster track is at 91.44 meters and the roller coaster reaches a maximum m- 4200 kg velocity of 27.0 m/s at the bottom of the hill, what is the height of the lowest part of the track? Assume the track is frictionless and that the carts are going slow enough at the top of the hill that you can ignore any kinetic energy they might have at that point. h, -01.44 m h,= ? 7. You happen to get on a roller coaster car at the same time as a lot of small children. "Are they even tall enough to be on this ride?" you wonder to yourself. Considering that there will be significantly less mass on this roller coaster train, how do you expect it to affect the ride? (ignore the effects of friction and air resistance) a. The ride will be able to go faster because even though it has the same amount of total energy, less mass will result in higher speeds. b. The ride will go slower because having less mass means that the ride will start with less gravitational potential energy at the top of the first hill. C. The ride will go at about the same speed because roller coasters are controlled by machines that compensate for the different mass of the passengers. d. The ride will go at about the same speed because it will start with less gravitational potential energy but it will require less kinetic energy to travel at the same speeds as usual. 8. What is the least amount of energy needed to bring a pot with 0.6 kg of water from 21 °C to a boil (100 °C)? (the specific heat of water is 4180J/kg °C) 9. What is the minimum amount of time needed to boil the water in question 8 using a 1500W electric stove?
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