Train ever totally in the tunnel
A super-train of appropriate length of 96 m travels at a speed of 0.94c as it passes via a tunnel encompassing proper length 50 m. As seen by a track-side observer, is the train ever totally in the tunnel?
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The astronaut at rest on Earth has a heartbeat rate of 72 beats per minute. If the astronaut is traveling in a spaceship at 0.90c, then what will the rate be as measured by the given:
If the ball is thrown directly upward with the velocity of 40 ft/s, its height (in feet) after t seconds is provided by h(t) = 40t-162. Determine maxiumum height attained by ball?
Signals produced by the astronaut's pulse are radioed to Earth when the vehicle is moving perpendicularly to a line that joins the vehicle with the Earth observer. i) Determine the pulse rate which the Earth observer measure?
Assume that when man is in middle of river, a wind of 6 km/hr from southwest starts. In which direction must he steer to move straight across river?
The object moves along the line in such a way that displacement after t minutes is given by d(t)=2t^3-6t^2+2 meters, for t>=0. Compute the velocity v(t) and accerlation a(t) of the object.
A deep-space probe moves away from the Earth with a speed of 0.74c. An antenna on the probe needs 3.0 s, in probe time; to rotate via 1.0 rev. Determine how much time is needed for 1.0 rev according to the observer on Earth?
Determine the change in classical momentum of an electron which accelerates from 0.888c to 0.944c, avoiding relativistic effects.
A proton moves having a speed of 0.940c. (i) Compute its rest energy. (ii) Compute its net energy. (iii) Compute its kinetic energy.
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