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The idea here is to assume that all the kinetic energy was originally (when the stone was at its highest point) gravitational potential energy. So, all you need to do is use the equation for gravitational potential energy, replace the numbers you know, and solve it for mass.

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7y ago
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1mo ago

Using the principle of conservation of energy, the initial potential energy when the stone was at a height of 2 meters (mgh) must have been equal to the final kinetic energy (1/2 * m * v^2) when it hits the ground. Thus, the mass of the stone can be calculated using the formula m = 2 * E / (g * h), where E is the kinetic energy (9.8 J), h is the height (2 m), and g is the acceleration due to gravity (9.81 m/s^2).

Substituting the values, the mass of the stone is m = 2 * 9.8 / (9.81 * 2) = 1 kg.

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7y ago

energy is 9.8 joules or 9.8 newton-meters. at 2 meters weight is 9.8/2 = 4.9 Newtons. Mass is weight/9.8 (weight/gravity acceleration) so m = 4.9/9.8 = 0.5 kilogram

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Q: Anne releases a stone from a height of 2 meters. She measures the kinetic energy of the stone at 9.8 joules at the exact point it hits the ground. What is the mass of the stone?
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