A projectile was launched from a certain location on earth and landed a certain distance away. An astronaut on a ship, passing by at a speed of 0.75 c relative to earth, measures 0.658 s between the launch and the landing of the projectile. What's the proper time interval between the launch and landing of the projectile? Group of answer choices 0.715 s 0.658 s 0.288 s 0.435 s

An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern length is l0= 680 m. The ship passes by a space station at relativistic speed, and the technicians on the space station measure the length of the ship to bel= 550 m. What is the kinetic energy of the spaceship at this moment? (Hint: you don’t need to solve for the ship's speed in this problem. You only need to work in terms of γ.)

All motion in this problem is in one dimension. A Z-ship is approaching Earth from the north at 0.68 c. It emits a radio signal at 9.1 MHz. A Q- ship is moving away from earth's south pole at 0.68 c. At what frequency does the Q-ship receive the Z-ship's signal? Answer in MHz.

A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling directly downward at 0.9999c.a. In the earth’s frame of reference, how much time elapses between the muon’s creation and the time it reaches the surface?b. Use time dilation to determine, in the muon’s frame, how much time elapses between the muon’s creation and the time it reaches the surface.c. In the muon’s frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?d. The ratio of the distance you calculated in part c and the time you calculated in part b is a speed. Calculate this speed; what do you notice?

an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the aircraft is at a distance of d = 5 x 10 ^ 8 km from the earth, a radio signal is sent to the aircraft from observers on earth. Count ita. How long does it take for the signal to reach the plane if calculated by researchers on earth and the crew on board?b. if an observer on earth measures the dimensions of the plane as long as 67 m, then how long is the plane measured by the crew on board?

In its own frame of reference, an object has a mass of 9.2 kg. If it moves past you at a speed of 0.93c, what is its mass as you observe it? 34.77 131.4 kg 25.03 kg 68.1 kg

An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see its searchlight blink on for 0.150 s. The first officer on the spacecraft measures that the searchlight is on for 12.0 ms. (a) Which of these two measured times is the proper time? (b) What is the speed of the spacecraft relative to the earth, expressed as a fraction of the speed of light c?

A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes earth with a speed v = 0.76c relative to it. Assume that the three planets do not move relative to each other during the trip. The distance between Mars and Venus is 1.20 × 1011 m, as measured by a person on earth. (a) What does the Martian measure for the distance between Mars and Venus? L = (b) What is the time of the trip (in seconds) as measured by the Martian? Δto =

Two rockets fly away from the Earth in opposite directions. Each rocket is moving at a speed of v = 0.83 c as seen from the Earth. a. How fast is rocket "B" moving as seen by the astronaut in rocket "A"? Express your answer as a decimal fraction of the speed of light. b. If the astronaut on rocket "A" measures a time interval of 60 minutes, how much time would they say goes by for the astronaut on rocket "B"? minutes c. Rocket "A" travels out from Earth at a speed of v = 0.83 c for a period of one year as measured on Earth, turns around, and then travels back to the Earth at the same speed for another Earth year. How much did the astronaut on the rocket age? years

An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and the sun. According to the astronaut, how far is he from the sun? In the frame of the sun, the distance from the Earth to the sun is 1.5 x 10¹¹ m.