what is the energy equivalent of an object with a mass of 1.05 g?\n3.15×10^5 j\n3.15×10^8 j\n9.45×10^13…

Explanation:

Step1: Convert mass to kg

First, convert 1.05 g to kg. Since 1 g = 0.001 kg, then $m=1.05\times0.001\ kg = 1.05\times10^{- 3}\ kg$.

Step2: Apply Einstein's mass - energy equivalence formula

Einstein's formula is $E = mc^{2}$, where $c = 3\times10^{8}\ m/s$. Substitute $m = 1.05\times10^{-3}\ kg$ and $c = 3\times10^{8}\ m/s$ into the formula: $E=(1.05\times10^{-3}\ kg)\times(3\times10^{8}\ m/s)^{2}$. First, calculate $(3\times10^{8})^{2}=9\times10^{16}$. Then $E=(1.05\times10^{-3})\times(9\times10^{16})\ J$. Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $E=(1.05\times9)\times10^{-3 + 16}\ J=9.45\times10^{13}\ J$.

Answer:

$9.45\times 10^{13}\ J$