A 2 kg mass is held 4 m above the ground. What is the approximate potential energy due to gravity of the mass with respect to the ground?

Gravitational Potential Energy = Mass x Height x Gravitational Acceleration
Here, Mass = 2 kg, Height = 4 m and Gravitational Acceleration = 9.8 m/sec^2 (this is a fixed/constant universal value)
So, Energy = 2 x 4 x 9.8 = 78.4 Joules
So, the final answer is --> Potential Energy = 78.4 Joules

Answered by utsavsingh | 2024-06-10

80 joules
Further explanation
Given:
A 2 kg mass is held 4 m above the ground.
Let us write as follows:

m = 2 kg
h = 4 m

Question:
What is the approximate potential energy (PE) due to gravity of the mass with respect to the ground?
The Process:
We will solve the problem of gravitational potential energy.
Gravitational potential energy = mgh , where m represents mass (in kg), g represents Earth's gravitational field (10 N kg⁻¹), and h represents the height change (in m).
Let us find out the approximate potential energy due to the gravity of the mass concerning the ground on the Earth.
Gravitational potential energy = (2 kg)(10 N kg⁻¹)(4 m)
Thus, gravitational potential energy equal to 80 joules.
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Notes:

The equation assumes that the gravitational potential energy gives zero PE (potential energy) at the surface of the Earth. This works for everyday situations but it is not fundamental.
Newton's theory of universal gravitation states that the field must change with distance.
As long as it is not stated in the problem, the Earth's gravitational field strength (g) is 10 N kg⁻¹ (or 10 m s⁻²). Unless otherwise specified, for example, g = 9.81 m s⁻², we use this value in calculations. The symbol g can also be called a gravitational acceleration constant .

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Answered by BladeRunner212 | 2024-06-12

The gravitational potential energy of a 2 kg mass held 4 m above the ground is approximately 78.4 Joules. This is calculated using the formula PE = mgh, where g is approximately 9.8 m/s². Therefore, the PE at that height is 78.4 Joules.
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Answered by utsavsingh | 2024-10-01