When will two ships collide in reference frame of Earth?

AI Thread Summary
Two ships are approaching each other at a velocity of 0.7c, with Ship 1 nearly colliding with Earth and Ship 2 starting 105 km away. The discussion focuses on calculating the time until collision from Earth's reference frame and determining the coordinates of each ship at that moment. Additionally, it explores how to calculate the time shown on the clock in Ship 1's reference frame when the collision occurs. Questions arise about the interpretation of speeds and the necessity of demonstrating problem-solving attempts. The conversation emphasizes the importance of understanding the relativistic effects involved in the scenario.
matt14690
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4. Two ships are moving toward each other with velocity of 0.7 c. At time zero in reference frame (reference
frame of Earth), Ship 1 nearly collides with Earth and Ship 2 is at the distance of 105 km from Earth.
(a)How long does it take according to the clock on Earth before the ships collide? What are the coordinates
of each ship at the collision?
(b)The clock in reference frame where Ship 1 is always at origin and at rest is set to zero when Ship 1 nearly
collides with Earth. What will the clock in show when the two ships collide?
 
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Can't figure this out
 
matt14690 said:
4. Two ships are moving toward each other with velocity of 0.7 c.
Is that the speed of each ship with respect to the Earth?
 
Aren't you supposed to demonstrate that you've at least attempted to solve the problem? If you can't even start, try explaining what you do know about the problem.
 
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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