Which of the following statements are IMPOSSIBLE? Choose all that are. The rocket's speed was measured to be 0.15c. The rocket's rest length is 685 m. An observer flying by measured the rocket to be 185 m long. A rocket flying away from the Sun at 0.53c measured the speed of the photons (particles of light) emitted by the Sun to be c. An inertial reference frame had an acceleration of 3 m/s². The proper time interval between two events was measured to be 237 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 167 s. x Part 2: True Statements Which of the following statements are TRUE? Choose all that are. The Lorentz factor, y, has a range that extends from zero to infinity. The range for the velocity of an object extends from 0 m/s to the speed of light. The elapsed time between two events (as seen in any frame) can never be less than the proper time for those two events. An object's length (as seen in any IRF) can never be greater than the object's rest length. The speed of a photon in a vacuum (as seen in any IRF) is less than c.

An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a pion in the original direction of motion. In the experimenter's frame, the speed of the particle is measured to be between .8c and c. 1.3c. O between c and 1.3c. O between .5c and .8c.

2. a) The average life span for a dog is 12 years. Ifa dog is placed on a space ship traveling at 0.998 c, what will be the average life span of the dog according to someone on the space ship? b) An observer on earth sees a space ship traveling at 0.999c According to the earth observer, the space ship travels 20 light years. Is the 20 light years a proper or contracted length? c) A physicist in a lab creates a new particle which travels for 20 km before decaying According to the physicist the time it takes the particle to decay is 33.5 x 10 s Is the 20 km a proper of contracted length? Is the 33.5 x 10 sa proper or dilated time?

A starship moves away from Mars at a speed of 0.75c relative to Mars. The starship launched a small rocket with the length of 13 m as measured by an observer on the starship. The small rocket moves in the same direction as the starship at a speed of 0.40c relative to the starship. i) Find the velocity of the small rocket relative to Mars.ii) Calculate the length of the small rocket as measured by an observer on Mars.

Suppose a spaceship heading directly away from the Earth at 0.85c can shoot a canister at 0.35c relative to the ship. Take the direction of motion towards Earth as positive.Randomized Variablesv1 = 0.85 cv2 = 0.35 c Part (a)  If the canister is shot directly at Earth, what is the ratio of its velocity, as measured on Earth, to the speed of light?   Part (b)  What about if it is shot directly away from the Earth (again, relative to c)?

1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60 km/h and car B moves at 40 km/h, each measured relative to an observer on the ground. What is the speed of car A relative to car B? 2. A supersonic plane moves away from you, and in the +x direction, at a speed of 1000 m/s relative to you. A second plane, traveling in the same direction and ahead of the first plane, moves away from you, and away from the first plane, at a speed of 500 m/s relative to the first plane. How fast is the second plane moving relative to you? 3. Astronauts in a spaceship traveling at v = 0.6c relative to Earth sign off from space control, saying that they are going to nap for 1.00 h and then call back. How long does their nap last as measured on Earth? 4. A stick that has a proper length of 1 m moves in a direction parallel to its length with speed v relative to you. The length of the stick as measured by you is 0.914 m. What is the speed v? T 5. Muons are…

A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.

A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion has an average lifetime (at rest) of 14 ns. In one experiment, an aarnion traveled 24 m (as viewed from the lab frame) before it decayed. A.) Determine the proper velocity of the aarnion. Assume it had an average lifetime in its own frame. W = B.) Determine the velocity of the aarnion. Assume it had an average lifetime in its own frame. V = XC

How far from the earth would you be able to travel in a lifetime of 88 years if you were able to travel at a constant speed of 0.67c?

When traveling past an observer with a relative speed v, a rocket is measured to be 9.00 m long. When the rocket moves with a relative speed 2v, its length is measured to be 4.90 m. Part A What is the speed v? v = VO ΑΣΦ ? Submit Request Answer ་ Part B What is the proper length of the rocket? C