Dimensions of U are:
Correct answer: B. [ML^2 T^-2]
- A. [ML^-1 T^-1]
- B. [ML^2 T^-2]
- C. [ML^1 T^-1]
- D. [ML^1 T^-2]
Explanation
U represents potential energy, which is defined as the energy possessed by an object due to its position or configuration.The formula for potential energy is:U = mghWhere:U is the potential energym is the mass of the objectg is the acceleration due to gravityh is the height of the objectNow let's analyze the dimensions of each term:m (mass): [M]g (acceleration due to gravity): [LT^-2]h (height): [L]Therefore, the dimensions of potential energy (U) are:[U] = [M] * [LT^-2] * [L] = [ML^2 T^-2]
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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