Question

0.1 kg is equivalent to the energy of -------- in joules ??? and its derivation also ???

Answer 1

Answer:

0.1 kg is equivalent to the energy of 9×10¹⁵Joules.

Explanation:

• We will solve this question through the concept of Einstein's theory of relativity.

• The theory of relativity states that mass and energy can be interconverted. Which is given as,

                                                 $\mathrm{E=mc^2}$        (1)

Where,

E=energy in joules

m=mass of the body

c=speed of light in the vacuum=3×10⁸m/s

In question, we are given that the mass is 0.1 kg.

By inserting the values in equation (1) we get;

$\mathrm{E=0.1\times (3\times 10^8)^2}$

$\mathrm{E=0.1\times 9\times 10^{16}}$

$\mathrm{E=9\times 10^{15}\ Joules}$

So, 0.1 kg is equivalent to the energy of 9×10¹⁵Joules.

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Answer 2

Answer:

9×10¹⁵Joules are equal to 0.1 kg of energy.

Explanation:

• One of the most significant works in the history of physics is Albert Einstein's 1905 theory of special relativity. The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc^2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.
• We shall use the idea of Einstein's theory of relativity to resolve this issue.
• According to the theory of relativity, energy and mass can be changed into one another. which is stated to be,
• E=mc^2                 ---- equation (1)
• Where,
• E = energy (joules)
• m is the body's mass.
• c = 3×10⁸m/s, the speed of light in a vacuum
• We are informed that the mass in question is 0.1 kg.
• We obtain by entering the numbers in equation (1);
• $E=0.1*(3*10^2)^2\\E=0.1*9*10^{16}\\E=9*10^{15} J$
• Therefore, 0.1 kilogramme is equal to 9×10¹⁵ joules of energy.

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