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What is the velocity of the car mentioned in the problem?
40 m/s The car’s velocity is a key factor in calculating its kinetic energy.
What is the mass of the car traveling at 40 m/s?
1120 kg The mass of the car is necessary for calculating kinetic energy.
Calculate the kinetic energy of a car with a mass of 1120 kg traveling at 40 m/s.
Kinetic Energy = 0.5 * mass * velocity^2 Kinetic Energy = 0.5 * 1120 kg * (40 m/s)^2 = 896000 J.
What is the height of the platform where the cinder block is sitting?
20 m The height is used to calculate the potential energy of the cinder block.
What is the weight of the cinder block on the platform?
7.9 kg The weight is important for calculating potential energy.
Calculate the potential energy of a cinder block weighing 7.9 kg at a height of 20 m.
Potential Energy = mass * gravity * height Potential Energy = 7.9 kg * 9.81 m/s^2 * 20 m = 1543.58 J.
What is the height of the hill where the roller coaster is located?
72 m The height is used to calculate the potential energy of the roller coaster.
What is the weight of the roller coaster at the top of the hill?
134 kg The weight is necessary for calculating potential energy.
Calculate the potential energy of a roller coaster weighing 134 kg at a height of 72 m.
Potential Energy = mass * gravity * height Potential Energy = 134 kg * 9.81 m/s^2 * 72 m = 9480.48 J.
What is the height of the tower where the bell is located?
45 m The height is used to calculate the potential energy of the bell.
What is the weight of the bell at the top of the tower?
19 kg The weight is necessary for calculating potential energy.
Calculate the potential energy of a bell weighing 19 kg at a height of 45 m.
Potential Energy = mass * gravity * height Potential Energy = 19 kg * 9.81 m/s^2 * 45 m = 8391.45 J.
Determine the kinetic energy of a 1000-kg roller coaster car moving at 20.0 m/s.
Kinetic Energy = 0.5 * mass * velocity^2 Kinetic Energy = 0.5 * 1000 kg * (20.0 m/s)^2 = 200000 J.
If the roller coaster car moves with twice the speed, what would be its new kinetic energy?
Kinetic Energy = 0.5 * mass * (2 * velocity)^2 New Kinetic Energy = 0.5 * 1000 kg * (40.0 m/s)^2 = 800000 J.
What is the mass of the loaded cart being pulled up the inclined plane?
3.0 kg The mass is necessary for calculating potential energy.
What is the height of the seat-top that the cart is pulled to?
0.45 m The height is used to calculate the potential energy of the loaded cart.
What is the potential energy of a 3.0 kg cart at a height of 0.45 m?
Potential Energy = mass * gravity * height Potential Energy = 3.0 kg * 9.81 m/s^2 * 0.45 m = 13.24 J.
What is the weight of the refrigerator located on the 70th floor?
75 kg The weight is necessary for calculating potential energy.
What is the height of the skyscraper where the refrigerator is located?
300 m The height is used to calculate the potential energy of the refrigerator.
What is the potential energy of a 75-kg refrigerator located 300 meters above the ground?
Potential Energy = mass * gravity * height Potential Energy = 75 kg * 9.81 m/s^2 * 300 m = 220725 J.
The potential energy of a 40-kg cannon ball is 14000 J. How high was the cannon ball to have this much potential energy?
Height = Potential Energy / (mass * gravity) Height = 14000 J / (40 kg * 9.81 m/s^2) = 35.6 m.