AP Physics 1 Flashcards: Potential Energy

What this deck covers

This deck focuses on Potential Energy, giving you a quick way to review the definitions, rules, and examples that matter most for AP Physics 1.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Calculate the potential energy of a 5 kg object at 10 m height.

Answer: Potential energy is $490 \, \text{J}$. Using $PE = mgh = (5)(9.8)(10) = 490$ J.

Flashcard 2: How does potential energy change when an object moves down in a gravitational field?

Answer: Potential energy decreases. Moving with gravity decreases gravitational PE.

Flashcard 3: Calculate the potential energy of a spring with $k=200 \, \text{N/m}$ and $x=0.1 \, \text{m}$.

Answer: Potential energy is $1 \, \text{J}$. Using $PE_s = \frac{1}{2}(200)(0.1)^2 = 1$ J.

Flashcard 4: Identify the unit of potential energy in the SI system.

Answer: The unit is the joule (J). Same unit as all forms of energy in SI system.

Flashcard 5: Find the potential energy of a spring with $k=150 \, \text{N/m}$ and $x=0.05 \, \text{m}$.

Answer: Potential energy is $0.1875 \, \text{J}$. Using $PE_s = \frac{1}{2}(150)(0.05)^2 = 0.1875$ J.

Flashcard 6: What does $g$ represent in the formula $PE = mgh$?

Answer: $g$ represents the acceleration due to gravity, $9.8 \, \text{m/s}^2$. Standard gravitational acceleration on Earth's surface.

Flashcard 7: Is potential energy a form of mechanical energy?

Answer: Yes, it is a form of mechanical energy. PE is one of two types of mechanical energy.

Flashcard 8: What is the potential energy of a 10 kg object at ground level?

Answer: Potential energy is $0 \, \text{J}$. Ground level is typically chosen as the zero PE reference.

Flashcard 9: What is the formula for gravitational potential energy?

Answer: $PE = mgh$. This formula relates gravitational PE to mass, gravity, and height.

Flashcard 10: Can potential energy be negative?

Answer: Yes, if the reference point is above the object. PE is relative to the chosen reference point location.

Flashcard 11: If a spring is stretched twice as far, how does potential energy change?

Answer: Potential energy quadruples. PE depends on $x^2$, so doubling $x$ increases PE by $4$.

Flashcard 12: What does $h$ represent in the formula $PE = mgh$?

Answer: $h$ represents height above the reference point in meters. Vertical distance from the chosen zero PE reference level.

Flashcard 13: What happens to potential energy if height is halved?

Answer: Potential energy is halved. PE is directly proportional to height in $PE = mgh$.

Flashcard 14: What type of potential energy is involved in a pendulum's motion?

Answer: Gravitational potential energy. Height changes as the pendulum swings back and forth.

Flashcard 15: What is elastic potential energy?

Answer: Energy stored in an object when it is stretched or compressed. Deformation energy that can be recovered when released.

Flashcard 16: What factors influence the potential energy of an object?

Answer: Mass, height, and gravitational acceleration. These three variables determine gravitational PE magnitude.

Flashcard 17: What is the significance of the zero potential energy reference point?

Answer: It is arbitrary and used for convenience in calculations. Chosen for mathematical convenience, not physical necessity.

Flashcard 18: Find the potential energy of a spring with $k=150 \, \text{N/m}$ and $x=0.05 \, \text{m}$.

Answer: Potential energy is $0.1875 \, \text{J}$. Using $PE_s = \frac{1}{2}(150)(0.05)^2 = 0.1875$ J.

Flashcard 19: What is elastic potential energy?

Answer: Energy stored in an object when it is stretched or compressed. Deformation energy that can be recovered when released.

Flashcard 20: What happens to potential energy if the spring constant doubles?

Answer: Potential energy doubles. PE is directly proportional to $k$ in $PE_s = \frac{1}{2}kx^2$.

Flashcard 21: What is the relationship between potential energy and work done?

Answer: Work done on an object results in a change in potential energy. Work transfers energy, changing the object's PE.

Flashcard 22: State the potential energy formula for a spring.

Answer: $PE_s = \frac{1}{2} k x^2$. Spring PE depends quadratically on displacement from equilibrium.

Flashcard 23: State the potential energy formula for a spring.

Answer: $PE_s = \frac{1}{2} k x^2$. Spring PE depends quadratically on displacement from equilibrium.

Flashcard 24: What is the reference point in the context of gravitational potential energy?

Answer: A point where potential energy is defined to be zero. Arbitrary level chosen for convenient PE calculations.

Flashcard 25: Calculate potential energy lost if a 10 kg object falls 5 m.

Answer: Potential energy lost is $490 \, \text{J}$. Using $\Delta PE = mgh = (10)(9.8)(5) = 490$ J decrease.

Flashcard 26: What happens to potential energy if the spring constant doubles?

Answer: Potential energy doubles. PE is directly proportional to $k$ in $PE_s = \frac{1}{2}kx^2$.

Flashcard 27: What factors influence the potential energy of an object?

Answer: Mass, height, and gravitational acceleration. These three variables determine gravitational PE magnitude.

Flashcard 28: How does potential energy change when an object moves up in a gravitational field?

Answer: Potential energy increases. Moving against gravity increases gravitational PE.

Flashcard 29: What happens to potential energy if height is halved?

Answer: Potential energy is halved. PE is directly proportional to height in $PE = mgh$.

Flashcard 30: If a bungee cord stretches, what type of potential energy is stored?

Answer: Elastic potential energy. Bungee cords stretch like springs under load.

Flashcard 31: What is the effect of doubling the mass on gravitational potential energy?

Answer: Gravitational potential energy doubles. PE is directly proportional to mass in $PE = mgh$.

Flashcard 32: How does potential energy change when an object moves up in a gravitational field?

Answer: Potential energy increases. Moving against gravity increases gravitational PE.

Flashcard 33: What is the potential energy of a 10 kg object at ground level?

Answer: Potential energy is $0 \, \text{J}$. Ground level is typically chosen as the zero PE reference.

Flashcard 34: What does $k$ represent in the spring potential energy formula?

Answer: $k$ is the spring constant in N/m. Measures the spring's resistance to deformation.

Flashcard 35: Calculate the gravitational potential energy of a 7 kg object at 3 m height.

Answer: Potential energy is $205.8 \, \text{J}$. Using $PE = mgh = (7)(9.8)(3) = 205.8$ J.

Flashcard 36: Which type of energy transformation occurs when a book falls off a shelf?

Answer: Potential energy to kinetic energy. Gravitational PE converts to motion energy during fall.

Flashcard 37: Calculate potential energy lost if a 10 kg object falls 5 m.

Answer: Potential energy lost is $490 \, \text{J}$. Using $\Delta PE = mgh = (10)(9.8)(5) = 490$ J decrease.

Flashcard 38: What is the relationship between potential energy and work done?

Answer: Work done on an object results in a change in potential energy. Work transfers energy, changing the object's PE.

Flashcard 39: Define the concept of mechanical energy.

Answer: Mechanical energy is the sum of potential and kinetic energy. Total energy available for motion without external work.

Flashcard 40: What does $m$ represent in the formula $PE = mgh$?

Answer: $m$ represents mass in kilograms. Mass determines how much gravitational PE the object can have.

Flashcard 41: If a spring is stretched twice as far, how does potential energy change?

Answer: Potential energy quadruples. PE depends on $x^2$, so doubling $x$ increases PE by $4$.

Flashcard 42: Identify the unit of potential energy in the SI system.

Answer: The unit is the joule (J). Same unit as all forms of energy in SI system.

Flashcard 43: What does $m$ represent in the formula $PE = mgh$?

Answer: $m$ represents mass in kilograms. Mass determines how much gravitational PE the object can have.

Flashcard 44: Define potential energy.

Answer: Potential energy is the energy stored in an object due to its position or condition. PE depends on position in a force field, not motion.

Flashcard 45: What happens to potential energy when the reference point changes?

Answer: Potential energy value changes, not the physical energy. Only the numerical value changes, not actual energy content.

Flashcard 46: Does potential energy depend on the path taken?

Answer: No, potential energy depends only on position or condition. PE is a state function depending only on configuration.

Flashcard 47: Explain how potential energy is converted in a roller coaster.

Answer: Potential energy is converted to kinetic energy as it descends. Maximum PE at top converts to maximum KE at bottom.

Flashcard 48: Calculate the potential energy of a 5 kg object at 10 m height.

Answer: Potential energy is $490 \, \text{J}$. Using $PE = mgh = (5)(9.8)(10) = 490$ J.

Flashcard 49: What does $g$ represent in the formula $PE = mgh$?

Answer: $g$ represents the acceleration due to gravity, $9.8 \, \text{m/s}^2$. Standard gravitational acceleration on Earth's surface.

Flashcard 50: Calculate the potential energy of a spring with $k=200 \, \text{N/m}$ and $x=0.1 \, \text{m}$.

Answer: Potential energy is $1 \, \text{J}$. Using $PE_s = \frac{1}{2}(200)(0.1)^2 = 1$ J.

Flashcard 51: Is potential energy a form of mechanical energy?

Answer: Yes, it is a form of mechanical energy. PE is one of two types of mechanical energy.

Flashcard 52: Find the potential energy of a 2 kg mass at 15 m height.

Answer: Potential energy is $294 \, \text{J}$. Using $PE = mgh = (2)(9.8)(15) = 294$ J.

Flashcard 53: How does potential energy change when an object moves down in a gravitational field?

Answer: Potential energy decreases. Moving with gravity decreases gravitational PE.

Flashcard 54: What does $x$ represent in the spring potential energy formula?

Answer: $x$ is the displacement from equilibrium in meters. How far the spring is compressed or stretched from rest.

Flashcard 55: What does $h$ represent in the formula $PE = mgh$?

Answer: $h$ represents height above the reference point in meters. Vertical distance from the chosen zero PE reference level.

Flashcard 56: What does $x$ represent in the spring potential energy formula?

Answer: $x$ is the displacement from equilibrium in meters. How far the spring is compressed or stretched from rest.

Flashcard 57: Identify if potential energy is a scalar or vector quantity.

Answer: Potential energy is a scalar quantity. PE has magnitude only, no direction like vectors.

Flashcard 58: What is the effect of doubling the mass on gravitational potential energy?

Answer: Gravitational potential energy doubles. PE is directly proportional to mass in $PE = mgh$.

Flashcard 59: Can potential energy be negative?

Answer: Yes, if the reference point is above the object. PE is relative to the chosen reference point location.

Flashcard 60: Explain how potential energy is converted in a roller coaster.

Answer: Potential energy is converted to kinetic energy as it descends. Maximum PE at top converts to maximum KE at bottom.

Flashcard 61: Define the concept of mechanical energy.

Answer: Mechanical energy is the sum of potential and kinetic energy. Total energy available for motion without external work.

Flashcard 62: What is the reference point in the context of gravitational potential energy?

Answer: A point where potential energy is defined to be zero. Arbitrary level chosen for convenient PE calculations.

Flashcard 63: What does $k$ represent in the spring potential energy formula?

Answer: $k$ is the spring constant in N/m. Measures the spring's resistance to deformation.