In general, the time derivative of the momentum is "linear, but not parallel " to the acceleration in relativity Why is it's linear but not parallel?
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Q: I need help on question 8?
A: Question no 8
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A: a) Let the proton's mass is denoted as m and the proton's speed is denoted by v. P=mvP=1.67×10-27…
In general, the time derivative of the momentum is "linear, but not parallel " to the acceleration in relativity
Why is it's linear but not parallel?
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- Consider a space shuttle traveling at 8 × 103 m/s above the earth. How much time per day is an observer on the ground losing, as viewed from the shuttle? How fast would the shuttle have to be going to see a 1 ms loss?An object is moving with ordinary speed 0.5c in S reference frame along a direction making an angle (tan 9 = 2) with respect to the positive x - axis. Find the zeroth component of the proper velocity.Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?
- In 1977 the planet Alderaan, with a mass of 3 x 1024 kg, exploded. Assuming it was initially at rest and experienced no external interactions, 3. A) If the planet blew apart into two pieces with 40% of its mass flying away in one piece at 4,000 km/s, what speed did the rest of the planet have relative to its original frame? B) If the planet blew apart into three pieces, with 30% of its mass flying away at 3,000 km/s, and 20% of its mass flying away at 5,000 km/s at an angle of 120° relative to the velocity direction of the first fragment, what velocity did the rest of the planet have? Report the direction by specifying its angle relative to the velocity direction of the first fragment.2.2. A rod of mass m= 1 kg flies with constant velocity past a mark which is stationary in the K frame. In the K frame, it takes the rod At= 20 ns to fly pass the mark, In the K' frame fixed to the rod, the mark moves past the rod in At' = 25 ns. (a) What is the velocity of the rod in the K frame? (b) What is the proper length of the rod? (c) What is the kinetic energy of the rod in the K frame in units of its total energy? (d) What is momentum of the rod in the K frame?An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 25.3 years in the space-ship's frame of reference. Assume the galaxy is 2.00 million light years away and his speed is constant. (a) How fast must he travel relative to Earth? The following approximation will prove useful: z 1 1 + x for x << 1. 2 - (Complete the equation for your answer.) (1-| C (b) What will be the kinetic energy of his spacecraft, which has mass of 1.08 x 10° kg? (c) What is the cost of this energy if it is purchased at a typical consumer price for electric energy, 13.0 cents per kWh?
- A car is moving relative to a pedestrian with a Lorentz factor of 1.45. With the length of the car being 5.7m according to the pedestrian, what's the length according to the driver of the car (he's moving at the same speed of the car) ?At t=0, an alien spaceship passes by the earth: let this be event A. At t=13 min (according to synchronized clocks on earth and Mars), the spaceship passes by Mars, which is 5 light-minutes from earth at the time: let this be event B. Radar tracking indicates that the spaceship moves at a constant velocity between earth and Mars. Just after the ship passes earth, people on earth launch a probe whose purpose is to catch up with and investigate the spaceship. This probe accelerates away from earth, moving slowly at first, but moving faster and faster as time passes, eventually catching up with and passing the alien ship just as it passes Mars. In all parts of this problem, you can ignore the effects of gravity and the relative motion of earth and Mars (which are small) and treat earth and Mars as if they were both at rest in the inertial reference frame of the solar system. Also assume that both the probe and the alien spacecraft carry clocks. 1. Draw a quantitatively accurate…I am currently working through a physics book (Spacetime Physics by Edwin Taylor) and I have come across this question and I don't know how to solve it: "Take the differential of this equation for g to obtain an approximate algebraic expression for Δg, the change in g, for a small change Δr in height." How do I sovle this question?