Suppose the straight-line distance between New York and San Francisco is 4.1 x 106 m (neglecting...
Suppose the straight-line distance between New York and San Francisco is 4.1 × 106 m (neglecting the curvature of the earth). A UFO is flying between these two cities at a speed of 0.65c relative to the earth. What do the voyagers aboard the UFO measure for this distance?
Consider flying between Los Angeles and San Francisco, as shown in the image below. Assume that San Francisco is directly north of Los Angeles, and that the two cities are separated by a distance D=377D=377 miles. The engines of the plane (as with any plane) maintain its speed relative to the air, which for the sake of this problem we take to be constant. Denoting the velocity of the plane relative to the air by v⃗p/av⃗p/a, this means that ∣v⃗p/a∣=v0=424∣v⃗p/a∣=v0=424...
Q2) To reduce travel time between two cities such as San Francisco and Los Angeles, engineers have proposed building a rail tunnel along a straight line connecting the cities. A train, its d unpropelled by any engine and starting from rest, would fall through the first half of the tunnel and then 10 move up the second half. The technical challenges are immense (the tunnel would need to evacuated) but it is an interesting system to consider. Assuming Earth to...
Suppose an object is launched from Earth with 0.52 times the escape speed. How many multiples of Earth's radius (RE 6.37 x 106 m) in radial distance will the object reach before falling back toward Earth? The distances are measured relative to Earth's center, so a ratio of 1.00 would correspond to an object on Earth's surface. For this problem, neglect Earth's rotation and the effect of its atmosphere For reference, Earth's mass is 5.972 x1024 kg. Your answer is...