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The energy possessed by a ball of mass 5┬аkg when it is raised to a height of 5┬аm above the ground is (take g=10┬аm/s2):
10 J
5 J
2 J
250 J
250 J
The energy possessed by an object due to its vertical position above a reference level (like the ground) is known as Gravitational Potential Energy. It is calculated as the product of mass, acceleration due to gravity, and height.
The energy possessed by an object due to its vertical position above a reference level (like the ground) is known as Gravitational Potential Energy. It is calculated as the product of mass, acceleration due to gravity, and height.
Think of lifting a heavy water bucket to the top shelf; the higher you lift it, the more 'potential' it has to do work if you let it fall.
M-G-H: Mass, Gravity, Height (The MGH formula for Potential Energy).
U=mgh тАФ The formula for gravitational potential energy
1┬аJ=1┬аkgтЛЕm2/s2 тАФ Definition of the Joule in SI base units
The Gravitational Potential Energy (U) of an object is defined by the work done against the gravitational force to lift the object to a height (h). Given mass m=5┬аkg, height h=5┬аm, and gravity g=10┬аm/s2, the formula is U=mgh. Substituting the values, we get U=5├Ч10├Ч5=250┬аJ.
Gravitational potential energy depends directly on height relative to a chosen datum.
The SI unit for energy is the Joule (J).
Work done by gravity is negative when an object is raised.
Calculates stored energy easily in static gravitational systems.
Does not account for non-conservative forces like air resistance or friction during the lift.
Calculating energy stored in a dam's reservoir.
Determining potential energy of objects on high shelves in storage systems.
The value of g is approximately 9.81┬аm/s2 on Earth, but 10┬аm/s2 is commonly used for simplicity in competitive exam problems.
Options A, B, and C are incorrect because they fail to account for the product of the given parameters.
D is correct тАФ The potential energy is 5┬аkg├Ч10┬аm/s2├Ч5┬аm=250┬аJ.
Always ensure your units are consistent before plugging them into physics formulas (e.g., mass in kg, distance in m, time in s).
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