+0  
 
0
654
2
avatar

known E = m.c^2, if m=0.0024 and c=0.2*10^-5, so the value of E is?

 Jan 26, 2015

Best Answer 

 #2
avatar+26400 
+5

known E = m.c^2, if m=0.0024 and c=0.2*10^-5, so the value of E is ?

$$\small{\text{$\boxed{E = m c^2}$}}$$

$$\small{\text{$m= 0.0024 = \frac{24}{10000} = \frac{2.4}{1000}= \frac{2.4}{10^3} = 2.4 * 10^{-3} $}}$$

$$\small{\text{$
c= 0.2*10^{-5} = \frac{2}{10}*10^{-5} = \frac{2}{10*10^5}= \frac{2}{10^6} = 2*10^{-6} $
}}$$

$$\small{\text{
$
E=m*c^2 = 2.4*10^{-3} \ * \ (2*10^{-6})^2 =2.4*10^{-3} \ * \ 2^2*(10^{-6})^2
$
}}\\
\small{\text{
$
=2.4*10^{-3} \ * \ 2^2*10^{-12}=2.4*10^{-3} \ * \ 4*10^{-12} = 2.4*4*10^{-3} 10^{-12} = 9.6 * 10^{-3} 10^{-12} $
}}\\
\small{\text{
$
= 9.6 * 10^{-15}
$
}}$$

 Jan 26, 2015
 #1
avatar
0

helppp the options are

a.9.6 * 10^-15 

b.9.6 * 10^-14

c.9.6 * 10^-13 

d.4.8 * 10^-12

 Jan 26, 2015
 #2
avatar+26400 
+5
Best Answer

known E = m.c^2, if m=0.0024 and c=0.2*10^-5, so the value of E is ?

$$\small{\text{$\boxed{E = m c^2}$}}$$

$$\small{\text{$m= 0.0024 = \frac{24}{10000} = \frac{2.4}{1000}= \frac{2.4}{10^3} = 2.4 * 10^{-3} $}}$$

$$\small{\text{$
c= 0.2*10^{-5} = \frac{2}{10}*10^{-5} = \frac{2}{10*10^5}= \frac{2}{10^6} = 2*10^{-6} $
}}$$

$$\small{\text{
$
E=m*c^2 = 2.4*10^{-3} \ * \ (2*10^{-6})^2 =2.4*10^{-3} \ * \ 2^2*(10^{-6})^2
$
}}\\
\small{\text{
$
=2.4*10^{-3} \ * \ 2^2*10^{-12}=2.4*10^{-3} \ * \ 4*10^{-12} = 2.4*4*10^{-3} 10^{-12} = 9.6 * 10^{-3} 10^{-12} $
}}\\
\small{\text{
$
= 9.6 * 10^{-15}
$
}}$$

heureka Jan 26, 2015

0 Online Users