How far is the Earth from the sun?

AI Thread Summary
The Earth is approximately 1.494 x 10^11 meters from the sun, which is equivalent to 149.6 million kilometers. Light from the sun takes about 8.3 minutes to reach Earth, translating to 498 seconds. The calculation involves multiplying the speed of light, 3 x 10^8 m/s, by the time in seconds. The discussion confirms the accuracy of this calculation. Overall, the distance from the Earth to the sun is a straightforward computation based on the speed of light.
Beanie
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Homework Statement


Light from the sun reaches Earth in 8.3 min. How far is the Earth from the sun?
The velocity of light is 3 × 10^8 m/s.

Answer in units of m.

Homework Equations

The Attempt at a Solution


8.3 min = 498 sec

3e8 x 498 = 1.494e11 m
 
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Compare with ' 149.6 million km ' - Yes , it is .
 
@Beanie it's absolutely correct. An easy question, these patterns are just difficult if you mess up the calculation part.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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