Calculating Kinetic Energy in Physics

The video explains kinetic energy, its definition, and how to calculate it using the formula KE = 1/2 mv^2. It provides an example comparing two running backs with different masses and speeds, showing they have the same kinetic energy. The video also derives the kinetic energy formula using the work-energy principle, explaining the relationship between force, displacement, and energy transfer.

What does the term 'kinetic' in kinetic energy refer to?

• Sound

• Heat

• Motion

• Light

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Which of the following best describes kinetic energy?

• Energy an object has due to its temperature

• Energy released during a chemical reaction

• Energy an object has due to its motion

• Energy stored in an object due to its position

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Which running back has more kinetic energy: one with a mass of 100 kg moving at 2 m/s or one with a mass of 25 kg moving at 4 m/s?

• The one with 100 kg mass

• Cannot be determined

• The one with 25 kg mass

• Both have the same kinetic energy

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What is the formula for calculating kinetic energy?

• KE = mass × velocity

• KE = mass × velocity²

• KE = ½ × mass × velocity²

• KE = ½ × mass × velocity

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If an object has a mass of 50 kg and is moving at a speed of 3 m/s, what is its kinetic energy?

• 450 Joules

• 75 Joules

• 225 Joules

• 112.5 Joules

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What is the kinetic energy of a 25 kg object moving at 4 m/s?

• 100 Joules

• 200 Joules

• 400 Joules

• 50 Joules

What is the relationship between work and energy?

• Work is the transfer of energy to an object

• Work is the rate at which energy is used

• Work and energy are unrelated

• Work is the energy stored in an object

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What is the work necessary to accelerate an object of mass m from zero speed to a speed of v?

• ½ × m × v²

• m × v / 2

• m × v²

• m × v

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How is the average velocity calculated when an object is accelerating from rest to a speed of v?

• 2v

• v / 2

• v

• v²

What is the final expression for kinetic energy derived from the work-energy principle?

• m × v / 2

• ½ × m × v²

• m × v²

• m × v

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