what is the energy equivalent of an object with a mass of 1.83 kg?\n1.65×10^{17} j\n2.92×10^{17}…

what is the energy equivalent of an object with a mass of 1.83 kg?\n1.65×10^{17} j\n2.92×10^{17} j\n3.10×10^{17} j\n5.49×10^{17} j

what is the energy equivalent of an object with a mass of 1.83 kg?\n1.65×10^{17} j\n2.92×10^{17} j\n3.10×10^{17} j\n5.49×10^{17} j

Answer

Explanation:

Step1: Recall the mass - energy equivalence formula

The mass - energy equivalence formula is (E = mc^{2}), where (m) is the mass of the object and (c) is the speed of light ((c = 3\times10^{8}\text{ m/s})).

Step2: Substitute the given values into the formula

Given (m = 1.83\text{ kg}) and (c = 3\times 10^{8}\text{ m/s}), we substitute these values into the formula (E=mc^{2}). [ \begin{align*} E&=(1.83)\times(3\times 10^{8})^{2}\ &=1.83\times9\times10^{16}\ & = 16.47\times10^{16}\ &=1.647\times 10^{17}\text{ J}\approx1.65\times 10^{17}\text{ J} \end{align*} ]

Answer:

(1.65\times 10^{17}\text{ J}) (the first option)