GPE and KE

• What happens to the GPE of a ball when it is released?

  It converts to kinetic energy as it falls
• What does Gravitational Potential Energy (GPE) represent?

  Energy due to an object's height
• If a 5 kg ball rolls at 4 m/s, what is the calculation for its Kinetic Energy?

  $KE =$$0.5 \times 5 \times (4)^2$
• What is the formula for calculating Gravitational Potential Energy (GPE)?

  GPE = m × g × h
• What is Kinetic Energy (KE)?

  Energy an object has because it's moving
• What happens to GPE when an object is lifted higher?

  It increases as height increases
• How does the height of a held ball affect its potential energy?

  Higher height increases its potential energy
• If you hold a ball high in the air, what type of energy does it possess?

  Gravitational potential energy
• What is the relationship between height and gravitational potential energy?

  • GPE increases with height
  • Higher position means more stored energy
• How is GPE defined?

  Stored energy convertible to other energy forms
• How does the height of an object affect its GPE?

  The higher an object is, the more GPE it has
• How does the speed of an object affect its Kinetic Energy?

  The faster an object moves, the more KE it has
• How does the total mechanical energy change during the fall of the ball?

  The total mechanical energy remains constant
• What is the formula for calculating Kinetic Energy?

  $KE =$$0.5 \times m \times v^2$
• What is the approximate value of gravitational acceleration (g)?

  9.8 m/s²
• How are gravitational potential energy (GPE) and kinetic energy (KE) related?

  They are related through conservation of mechanical energy
• How do you calculate the GPE of a 2 kg ball held 3 meters high?

  GPE = 2 kg × 9.8 m/s² × 3 m
• How does GPE change with mass and height?

  GPE increases with both mass and height
• What is gravitational potential energy (GPE)?

  Energy stored due to an object's height
• How is Kinetic Energy calculated for an object?

  KE = 0.5 × mass × velocity²
• If a 2 kg ball starts at a height of 10 m, what is its initial GPE?

  $196 J$
• How does Kinetic Energy (KE) change with mass and velocity?

  KE increases with both mass and velocity
• What is the Kinetic Energy calculation for a 10 kg bicycle moving at 5 m/s?

  $KE =$$\frac{1}{2} \times 10 \times 5^{2} =$$125$ joules
• What happens to the GPE of an object when it is dropped from a height?

  It converts to kinetic energy as it falls
• What does the variable *m* represent in the GPE formula?

  Mass of the object in kg
• What is the relationship between GPE and kinetic energy when an object falls?

  • GPE converts to kinetic energy
  • Higher GPE results in greater kinetic energy
  • Example: A ball falling from a height
• What does the variable *h* represent in the GPE formula?

  Height above the ground in meters
• What does the variable *g* represent in the GPE formula?

  Gravitational acceleration
• What is the formula for total mechanical energy?

  $Total Energy =$$GPE +$$KE$
• What role does mass play in determining Kinetic Energy?

  KE increases with the object's mass
• What unit is mass measured in for the KE formula?

  Kilograms
• What unit is velocity measured in for the KE formula?

  Meters per second
• How does the Kinetic Energy of two cars moving at the same speed differ if one is heavier?

  • Heavier car has more Kinetic Energy
  • Same speed but different mass affects KE
• If a bicycle has a mass of 10 kg and moves at 5 m/s, what is its Kinetic Energy?

  125 joules
• What is the unit of Kinetic Energy?

  Joules
• What does the variable *v* represent in the KE formula?

  Velocity of the object
• What is the KE of the ball just before it hits the ground if it started with 196 J of GPE?

  $196 J$
• What is the Kinetic Energy of a 5 kg ball rolling at 4 m/s?

  40 joules
• What does the variable *m* represent in the KE formula?

  Mass of the object
• If a 2 kg ball is held 3 meters high, what is its GPE?

  58.8 joules