Kinetic & Potential Energy Calculations

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What is Kinetic Energy?

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Kinetic Energy (KE) is the energy an object possesses due to its motion. It is calculated using the formula KE = 1/2 mv², where m is the mass and v is the velocity of the object.

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How do you calculate Kinetic Energy?

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Kinetic Energy is calculated using the formula KE = 1/2 mv², where m is the mass of the object in kilograms and v is its velocity in meters per second.

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What is the Kinetic Energy of a 5 kg cat running at 3 m/s?

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22.5 J (KE = 1/2 * 5 kg * (3 m/s)² = 22.5 J).

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What is the Kinetic Energy of a 0.3 kg marble moving at 6 m/s?

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5.4 J (KE = 1/2 * 0.3 kg * (6 m/s)² = 5.4 J).

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What is the Kinetic Energy of a 50 kg cheetah running at 26.83 m/s?

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17996.2 J (KE = 1/2 * 50 kg * (26.83 m/s)² = 17996.2 J).

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What is Potential Energy?

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Potential Energy (PE) is the energy stored in an object due to its position or configuration. It is commonly associated with gravitational potential energy, calculated as PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.

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How do you calculate Potential Energy?

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Potential Energy is calculated using the formula PE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height in meters.

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What is the Potential Energy of a 2500 kg car on a hill 100 meters high?

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2,450,000 J (PE = 2500 kg * 9.81 m/s² * 100 m = 2,450,000 J).

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What is the Potential Energy of 1250 kg weights lifted 2 meters?

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24,500 J (PE = 1250 kg * 9.81 m/s² * 2 m = 24,500 J).

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What is the relationship between Kinetic Energy and mass?

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Kinetic Energy is directly proportional to the mass of the object. If the mass increases, the Kinetic Energy increases, assuming the velocity remains constant.