Respuesta :
Ah hah ! Sounds to me like an " E = m c² " question.
c = 3 x 10⁶ m/s
c² = 9 x 10¹² m²/s²
E = (5 kg) x (9 x 10¹² m²/s²)
= 45 x 10¹² kg-m²/s²
= 4.5 x 10¹³ newton-m
= 4.5 x 10¹³ Joules .
That's the energy needed to
-- run a 1000-watt blow-dryer for roughly 1,427 years .
or
-- run a 400-horsepower truck, wide open, pedal to the metal,
for 4.78 years .
c = 3 x 10⁶ m/s
c² = 9 x 10¹² m²/s²
E = (5 kg) x (9 x 10¹² m²/s²)
= 45 x 10¹² kg-m²/s²
= 4.5 x 10¹³ newton-m
= 4.5 x 10¹³ Joules .
That's the energy needed to
-- run a 1000-watt blow-dryer for roughly 1,427 years .
or
-- run a 400-horsepower truck, wide open, pedal to the metal,
for 4.78 years .
Answer : The energy equivalent if 5 kg of mass is [tex]4.5\times 10^{17}\ J[/tex]
Explanation :
Given that,
Mass, m = 5 kg
From Einstein's mass - energy equivalence relation :
[tex]E=mc^2[/tex]
E is energy
m is the mass of the object
c is the speed of light
[tex]E=5\ kg\times (3\times 10^8\ m/s)^2[/tex]
[tex]E=4.5\times 10^{17}\ J[/tex]
Hence, this is the required solution.