Kinetic Energy Calculations

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What is Kinetic Energy?

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Kinetic Energy (KE) is the energy that 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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What is the formula for calculating Kinetic Energy?

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The formula for calculating Kinetic Energy is KE = 1/2 mv².

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How does mass affect Kinetic Energy?

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

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How does velocity affect Kinetic Energy?

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Kinetic Energy is proportional to the square of the velocity. This means that if the velocity doubles, the Kinetic Energy increases by a factor of four.

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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 state. It has the potential to be converted into Kinetic Energy.

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What is Gravitational Potential Energy?

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Gravitational Potential Energy is the energy an object possesses due to its height above the ground, calculated using the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.

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What is Elastic Potential Energy?

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Elastic Potential Energy is the energy stored in elastic materials as the result of their stretching or compressing, such as in a rubber band.

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What is the relationship between Kinetic Energy and Potential Energy in a roller coaster?

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In a roller coaster, Kinetic Energy and Potential Energy are interconverted. At the highest point, Potential Energy is maximum and Kinetic Energy is minimum. As it descends, Potential Energy decreases while Kinetic Energy increases.

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How do you rearrange the Kinetic Energy formula to solve for velocity?

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To solve for velocity, rearrange the formula KE = 1/2 mv² to get v = √(2KE/m).

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If a rock has a Kinetic Energy of 100 J and a mass of 25 kg, what is its velocity?

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Using the formula KE = 1/2 mv², rearranging gives v = √(2KE/m). Plugging in the values: v = √(2*100/25) = √(8) = 2.83 m/s.