Questions and Answers
What is the kinetic energy of a volleyball with a mass of 2.1 kg when it leaves your hand with a speed of 30 m/s?
945 Joules
What is the potential energy of a baby carriage weighing 12 kg sitting at the top of a 21 m hill?
2,469.6 Joules
What is the kinetic energy of a car with a mass of 1120 kg traveling at a velocity of 40 m/s?
896,000 Joules
What is the potential energy of a cinderblock weighing 79 kg sitting on a platform 20 m high?
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What is the potential energy of a bell weighing 190 kg at the top of a tower 45 m high?
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What is the potential energy of a roller coaster weighing 966 kg at the top of a 72 m hill?
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What are the potential energy values of a 5.0 kg book at heights of 1.0 m, 1.5 m, and 2.0 m?
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What is the height of a hill if your potential energy is 1000 J and your mass is 60.0 kg?
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What is the speed at the bottom of the hill if potential energy of 1000 J is converted to kinetic energy?
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How much kinetic energy does a 1.0 kg ball have when thrown into the air with an initial velocity of 30 m/s?
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How high does a 1.0 kg ball travel if it reaches a potential energy of 450 J?
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What is the kinetic energy of a 2000 kg boat moving at 5.0 m/s?
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At which point does the ball have the greatest kinetic energy as it rolls from A to G?
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At which point does the ball have the maximum potential energy?
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At which point does the ball have the least potential energy?
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Why is point G slightly slower than point A?
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Study Notes
Kinetic Energy
- Kinetic energy (KE) formula: KE = 1/2 mv²
- Example: A 2.1 kg volleyball moving at 30 m/s has 945 Joules of kinetic energy.
- Example: A car with a mass of 1120 kg traveling at 40 m/s has kinetic energy of 896,000 Joules.
- Example: A 1.0 kg ball thrown at 30 m/s has 450 Joules of kinetic energy.
Potential Energy
- Potential energy (PE) formula: PE = mgh (mass x gravity x height)
- Example: A 12 kg baby carriage at a height of 21 m has 2,469.6 Joules of potential energy.
- Example: A 79 kg cinderblock on a platform 20 m high has 15,484 Joules of potential energy.
- Example: A 190 kg bell at 45 m high has 83,790 Joules of potential energy.
- Example: A 966 kg roller coaster at 72 m high has 681,609.6 Joules of potential energy.
Calculating Height and Speed
- If potential energy is 1000 J and mass is 60 kg, height is calculated as:
- h = PE / (mg) => h = 1000 / (9.8 x 60) => h ≈ 1.7 m
- At the bottom of the hill, the speed is calculated as:
- Velocity = √(2 x KE / m) => Velocity ≈ 1.699 m/s
Bonus Problem
- A ball thrown into the air with a mass of 1.0 kg and an initial velocity of 30 m/s has:
- A kinetic energy of 450 J at launch.
- Potential energy of 450 J when it reaches the peak height, calculated height approximately 45.9 m.
Kinetic Energy of a Boat
- A 2000 kg boat moving at 5.0 m/s has a kinetic energy of 25,000 Joules.
Graph Analysis
- The ball has the greatest kinetic energy at point D.
- Maximum potential energy occurs at point A.
- Least potential energy is observed at point D.
- The ball is slower at point G due to energy loss caused by gravity or friction, preventing it from climbing back to its original height.
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Description
This worksheet contains flashcards that help you understand kinetic and potential energy through practical problems. You'll calculate the kinetic energy of a volleyball and the potential energy of a baby carriage on a hill. Get ready to enhance your physics knowledge!
