An astronaut is traveling in a space vehicle that has a speed of 0.455c relative to Earth. The astronaut measures his pulse rate at 75.5 per minute. Signals generated by the astronaut's pulse are radioed to Earth when the vehicle is moving perpendicularly to a line that connects the vehicle with an Earth observer. (a) What pulse rate does the Earth observer measure?  min−1 (b) What would be the pulse rate if the speed of the space vehicle were increased to 0.990c?  min−1

Q: A starship is moving at a velocity of 0.75c to a nearby star system. The mission control on Earth…

A: When an observer is moving the time measured will be slower than an observer who is at rest. This…

Q: An alien leader is watching Earth sitcoms transmitted to a distant planet. The season finale of the…

A: Speed of radio wave = 186,000 miles per second Distance between earth and planet = vx time = 186000…

Q: Planet A is 1.43 × 1012 m from Planet B in the solar system. A rocket travels from Planet B to…

A:

Q: A futuristic spaceship flies past MARS with a speed of 0.65c relative to the surface of MARS. Inside…

A:

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

A: Given that :v=0.94 ct=1.525 μs

Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)…

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

Q: A spacecraft is moving past Earth at a constant speed v which is 0.90c. The astronaut measures the…

A: The time interval ∆t that the observer on Earth measures between the ticks at the astronaut’s clock…

Q: An alien spaceship traveling at 0.630c toward the Earth launches a landing craft. The landing craft…

A:

Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

Q: An astronaut measures the duration of his journey to a nearby star system as 14 years. The ship was…

A: When objects move the time measured from the moving frame of reference will be different from a rest…

Q: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…

A:

Q: A muon formed high in the Earth's atmosphere is measured by an observer on the Earth's surface to…

A: Given, Distance measured by an observer on the earth surface , l=3.43km=3430 m Speed measured by an…

Q: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

A:

Q: Starship "Alpha" travels at 0.9c past an identical starship "Beta," which is at rest. Both a cabin…

A: We have a starship alpha which travels a given distance with velocity v=0.9c where c is the speed of…

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: An alien spaceship traveling at 0.540c toward the Earth launches a landing craft. The landing craft…

A:

Q: an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the…

A: (a) Let t be defined as the time taken by the signal to reach the aircraft. Then ct=5×108…

Q: The identical twins Speedo and Goslo join a migration from the Earth to Planet X. It is 17.0 ly away…

A: According to the Earth's frame, Speedo's trip lasts for a time…

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: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…

A: V = 0.729 c We need to calculate haw many bacteria are in the culture on the rocket?

Q: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

A: GivenA Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

Q: A spaceship moves past Earth with a speed of 0.908c. As it is passing, a person on Earth measures…

A: Given:- The spaceship moves past Earth with the speed of v = 0.908c  A person on Earth measures the…

Q: At one point in its orbit the earth is 1.50 * 10^11 m from the sun. A spacecraft flies along a line…

A: When an object travels with a speed comparable to the speed of light, the space time around that…

Q: A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B—…

A: Time measured by spacecraft to =23.22 yr Due to the high speed of spacecraft there will be…

Q: Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving…

A: given f = 8.64 * 10^14 Hzv = 0.580 c

Q: A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures…

A: Given: The velocity of the spaceship is v = 0.808 c The contracted length of the spaceship is L =…

Q: Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.660c…

A:

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Given speed of race pilot with respect to my pilot is, v=0.8c a) distance travelled by space racer…

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

A:

Q: An alien spaceship traveling at 0.560c toward the Earth launches a landing craft. The landing craft…

A:

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.