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Questions and Answers
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?
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?
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?
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?
What is the potential energy of a cinderblock weighing 79 kg sitting on a platform 20 m high?
What is the potential energy of a bell weighing 190 kg at the top of a tower 45 m high?
What is the potential energy of a bell weighing 190 kg at the top of a tower 45 m high?
What is the potential energy of a roller coaster weighing 966 kg at the top of a 72 m hill?
What is the potential energy of a roller coaster weighing 966 kg at the top of a 72 m hill?
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?
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?
What is the height of a hill if your potential energy is 1000 J and your mass is 60.0 kg?
What is the height of a hill if your potential energy is 1000 J and your mass is 60.0 kg?
What is the speed at the bottom of the hill if potential energy of 1000 J is converted to kinetic energy?
What is the speed at the bottom of the hill if potential energy of 1000 J is converted to kinetic energy?
How much kinetic energy does a 1.0 kg ball have when thrown into the air with an initial velocity of 30 m/s?
How much kinetic energy does a 1.0 kg ball have when thrown into the air with an initial velocity of 30 m/s?
How high does a 1.0 kg ball travel if it reaches a potential energy of 450 J?
How high does a 1.0 kg ball travel if it reaches a potential energy of 450 J?
What is the kinetic energy of a 2000 kg boat moving at 5.0 m/s?
What is the kinetic energy of a 2000 kg boat moving at 5.0 m/s?
At which point does the ball have the greatest kinetic energy as it rolls from A to G?
At which point does the ball have the greatest kinetic energy as it rolls from A to G?
At which point does the ball have the maximum potential energy?
At which point does the ball have the maximum potential energy?
At which point does the ball have the least potential energy?
At which point does the ball have the least potential energy?
Why is point G slightly slower than point A?
Why is point G slightly slower than point A?
Questions and Answers
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Study Notes
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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