Question

in a new unit system 1 unit of time is equal to 10 second 1 unit of mass is 5 kg and 1 unit of length is 20 metre in this new system of unit 1 unit of energy is equal to​

Answer 1

see the above solution

Answer 2

Answer:

20 Joule

Explanation:

energy, in physics, the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.

Formula. The energy stored in an object due to its position and height is known as potential energy and is given by the formula:

Potential Energy:

$P.E. = mgh$

Kinetic Energy:

$K.E.=\frac{1}{2} mv^{2}$

An Alternate Method to Derive the Unit of Energy

Using Einstein’s famous equation of mass-energy equivalence, which gives the relation between mass and energy conversion and states that

$E=mc^{2}$

Therefore, dimension of energy:

$E=[M]\times [L^{1} T^{-1} ]^{2} =M^{1} L^{2} T^{-2}$

Given:

Mass, M= 5 kg

Time, T = 10 second

Length, L = 20 meter

Value of energy$=\frac{New Dimensions}{Old Dimensions}$

                         =$\frac{5\times 20\times 20}{10\times 10}$

$=20 Joules$

Hence, New value of Energy is 20 Joules.

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