what is the energy equivalent of an object with a mass of 4.1 kg?\n1.2×10^9 j\n1.4×10^35 j\n3.5×10^18…

what is the energy equivalent of an object with a mass of 4.1 kg?\n1.2×10^9 j\n1.4×10^35 j\n3.5×10^18 j\n3.7×10^17 j

what is the energy equivalent of an object with a mass of 4.1 kg?\n1.2×10^9 j\n1.4×10^35 j\n3.5×10^18 j\n3.7×10^17 j

Answer

Explanation:

Step1: Recall Einstein's mass - energy equivalence formula

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

Step2: Substitute the given values

Given $m = 4.1\text{ kg}$ and $c = 3\times10^{8}\text{ m/s}$, we have $E=4.1\times(3\times 10^{8})^{2}$. First, calculate $(3\times 10^{8})^{2}=3^{2}\times(10^{8})^{2}=9\times10^{16}$. Then, $E = 4.1\times9\times10^{16}=36.9\times10^{16}=3.69\times 10^{17}\text{ J}\approx3.7\times 10^{17}\text{ J}$.

Answer:

D. $3.7\times 10^{17}\text{ J}$