Question 9Summarise the law of conservation of energy in your own words.Question 10Suppose that the carriage's actual speed at point D was 15 m/s (or 54 km/h).Calculate its kinetic energy in joules.Calculate the percentage of its starting energy that has been converted into thermal and sound energy.Question 11 Key QuestionAs a roller coaster carriage speeds down a slope, it loses gravitational potential energy.Explain why this does not violate the law of conservation of energy.
Question
Question 9Summarise the law of conservation of energy in your own words.Question 10Suppose that the carriage's actual speed at point D was 15 m/s (or 54 km/h).Calculate its kinetic energy in joules.Calculate the percentage of its starting energy that has been converted into thermal and sound energy.Question 11 Key QuestionAs a roller coaster carriage speeds down a slope, it loses gravitational potential energy.Explain why this does not violate the law of conservation of energy.
Solution
Question 9: The law of conservation of energy states that energy cannot be created or destroyed, but it can be transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant, regardless of the changes that occur within the system.
Question 10: The kinetic energy of an object can be calculated using the formula KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. If the carriage's speed at point D was 15 m/s, and assuming the mass of the carriage is known, we can substitute these values into the formula to find the kinetic energy in joules.
The percentage of the starting energy that has been converted into thermal and sound energy can be calculated by subtracting the final kinetic energy from the initial total energy, dividing by the initial total energy, and then multiplying by 100 to get the percentage.
Question 11: As a roller coaster carriage speeds down a slope, it loses gravitational potential energy. However, this does not violate the law of conservation of energy because the lost potential energy is converted into kinetic energy, which is the energy of motion. As the carriage speeds up, its kinetic energy increases, balancing out the loss of potential energy. Therefore, the total energy of the system (potential energy + kinetic energy) remains constant.
Similar Questions
As a roller coaster carriage speeds down a slope, it loses gravitational potential energy.Explain why this does not violate the law of conservation of energy.
Question 10Suppose that the carriage's actual speed at point D was 15 m/s (or 54 km/h).Calculate its kinetic energy in joules.Calculate the percentage of its starting energy that has been converted into thermal and sound energy
The diagram shows the potential energy and kinetic energy of a roller coaster cart at a point located at the top of a large hill. If the cart is initially stationary it will have zero kinetic energy. Based on the height of the first hill the cart has 520 kiloJoules of potential energy.The point marked X represents the bottom of the hill where the cart's potential energy is equal to 0 Joules, but the kinetic energy is 480 kiloJoules.Based on the Law of Conservation of Energy which explanation provides support for what MOST LIKELY occurred?A 60 kiloJoules of kinetic energy were gained due to gravitational acceleration.B 40 KiloJoules of heat energy were released to the surroundings due to friction.C 420 KiloJoules of potential energy were transferred to heat energy.D 40 KiloJoules of chemical energy from fuel were released as heat energy.
Suppose that the carriage's actual speed at point D was 15 m/s (or 54 km/h).Calculate its kinetic energy in joules
13) If the roller coaster car in question 12 were moving with twice the speed, then what would be its new kinetic energy?
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