An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for 1.00 h as measured by a clock on his spaceship, with a stride length of 1.00 m/s, while the ship travels with a speed of 0.900c relative to a ground station, what are (a) the pulse rate and (b) the distance walked as measured by someone at the ground station?

Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

A:

Q: An astronaut at rest on Earth has a heart rate of 70. beats/min. When the astronaut is traveling in…

A: The formula to calculate the heart beat rate is,

Q: At what speed, as a fraction of c, will a moving rod have a length 60% that of an identical rod at…

A:

Q: Suppose Spider-man throws a web that is 1.5 m long with a velocity of 0.85c with respect to the…

A:

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to earth-based…

A: GivenLength of spaceship at rest with respect to observer, Lo=250 mSpeed of spaceship, v=0.8 c

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.750c . To an Earth-bound…

A: Given:  Lo = 2.5 km  v = 0.750 c

Q: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…

A:

Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

A:

Q: In the earth’s rest frame, two protons are moving away from each other at equal speed. In the frame…

A:

Q: An astronaut traveling at a speed of 0.75c requires 25 years, as measured on Earth, to make a round…

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

Q: Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is…

A:

Q: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: A tuning fork has a frequency of 800 Hz and hence a period of 1.25 × 10 −3 s. If the tuning fork is…

A: The given values are, f=800 HzT=1.25×10-3 sv=0.690c

Q: An astronaut traveling at a speed of 0.75 c requires 25 years,as measured on earth,to make a round…

A:

Q: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

A:

Q: Suppose a space probe moves away from the Earth at a speed 0.350c . It sends a radio wave message…

A: The speed of the space prob, v=0.350 c   The frequency of the source, fs=1.50 GHz

Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

A:

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

Q: Suppose a celestial body is moving away from the Earth at a speed of 0.325c. It emits radio waves…

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Q: A spaceship, 180 m long as seen on board, moved by the earth at 0.980c. What is it's length in m as…

A: Given data: Original Length (L0) = 180 m Speed (v) = 0.980 c Required: The length of spaceship…

Q: Answering an emergency beacon, Captain Jack leaves the Earth on a rescue mission at 0.60c, arriving…

A: Given data: -  The speed at which Captain Jack leaves the earth is v = 0.60c. The arrival time at…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Speed of the shuttle is v = 0.90c Length of the shuttle is lo = 100 m

Q: A spaceship travels at 0.750c relative to Earth. If the spaceship fires a small rocket in the…

A:

Q: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: a) The equation to determine the life time of the moving muon is,

Q: A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship.…

A:

Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

A:

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound…

A:

Q: A spaceship, 200 m long as seen on board, moves by the Earth at 0.970c . What is its length as…

A: The given values are,

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.