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The gravitational potential energy of an object of mass 'm' raised through a height 'h' from the earth's surface is given by ________.
m a v
m a
m g h
m g v
m g h
The gravitational potential energy (U) of an object of mass m at a height h above the Earth's surface is the work done against the force of gravity to raise it to that position. It is calculated using the product of mass, acceleration due to gravity (g), and the height (h).
The gravitational potential energy (U) of an object of mass m at a height h above the Earth's surface is the work done against the force of gravity to raise it to that position. It is calculated using the product of mass, acceleration due to gravity (g), and the height (h).
Think of lifting a water bottle from the floor to a table; you are spending energy to give the bottle more 'potential' to fall back down, which increases as you lift it higher.
U=mgh тАФ where U is potential energy, m is mass, g is acceleration due to gravity, and h is height.
W=FтЛЕd тАФ fundamental work-energy relation.
According to the definition of work done against a uniform gravitational field, W=F├Чd. Here, the force F required to lift the object is equal to its weight mg, and the displacement d is the height h. Therefore, the stored energy is U=mgh.
Gravitational potential energy is a form of stored energy.
It depends linearly on the height relative to a reference level (usually the Earth's surface).
This formula is valid for heights that are small compared to the radius of the Earth where g remains approximately constant.
Simple mathematical model for potential energy calculations.
Only applicable near the Earth's surface; does not account for variations in g at very high altitudes.
Calculations for construction and engineering projects.
Understanding the energy dynamics of falling objects.
The value of g is approximately 9.8m/s2 on Earth.
Option A (mav) represents dimensions of power or force-velocity products, not energy. Option B (ma) is force (F=ma). Option D (mgv) does not represent potential energy.
C is correct тАФ The gravitational potential energy of an object is given by the expression mgh.
Remember that while mgh is for local gravity, the general formula for potential energy between two masses is U=тИТrGMmтАЛ, which is essential for orbital mechanics.
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