
Камень брошен вверх со скоростью 10 м/с найти наибольшее значение потенциальной энергии


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Calculating Potential Energy of a Stone Thrown Upward
To find the maximum potential energy of a stone thrown upward with a velocity of 10 m/s, we can use the formula for gravitational potential energy:
Gravitational Potential Energy (PE) = mgh
Where: - m = mass of the object - g = acceleration due to gravity (approximately 9.81 m/s^2 near the surface of the Earth) - h = height above the reference point
First, we need to find the maximum height reached by the stone using the given initial velocity.
Calculating Maximum Height Reached
Using the formula for the maximum height reached by an object thrown upward:
h = (v^2) / (2g)
Where: - v = initial velocity - g = acceleration due to gravity
Substituting the given values: - v = 10 m/s - g = 9.81 m/s^2
We can calculate the maximum height reached by the stone.
Calculation
Using the formula h = (v^2) / (2g): - h = (10^2) / (2 * 9.81) - h ≈ 5.102 metersSo, the maximum height reached by the stone is approximately 5.102 meters.
Calculating Potential Energy
Now that we have the maximum height, we can calculate the potential energy using the formula PE = mgh.
Given that the mass of the stone is not provided, we can calculate the potential energy using the height and the mass of the stone.
Conclusion
The maximum potential energy of the stone thrown upward with a velocity of 10 m/s can be calculated using the formula PE = mgh, where h ≈ 5.102 meters. If the mass of the stone is provided, the potential energy can be calculated using the mass and the height reached by the stone.

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