An airplane flies from San Francisco to New York(about 4800km) at a steady speed of 300m/s. How much time does the trip take, as measured by an observer on the ground? By an observer in the plane?
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Topic: Physics Relativity
An airplane flies from San Francisco to New York(about 4800km) at a steady speed of 300m/s. How much time does the trip take, as measured by an observer on the ground? By an observer in the plane?
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- Two spaceships, A and B, fly by a space station. An observer on the space station uses a telescope to measure the length of a meterstick in ship A and finds that it is 0.90 m . He does the same for ship B and finds that it is 0.60 m . What is the ratio of the speeds of the two ships relative to the space station, uBuA ?A spaceship travels at a speed of 2.4 x 108 m/s. A clock in the spaceship passes 60 seconds. How much time (in second) passes on the clock at rest on the ground?Figure 6 m/s 3 m/s 2 1 Part E What is the speed of ball 1 in a referece frame that moves with ball 2? V₁ = 跖 ΜΕ ΑΣΦ Submit Request Answer Part F ? m/s What is the direction of ball 1 in a referece frame that moves with ball 2? left O right ○ the ball is at rest Submit Request Answer Part G Complete previous part(s) Part H Complete previous part(s) Provide Feedback
- An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 74.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 19.4 years as measured in a rest frame. Note that radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) yr (b) How far is the probe from Earth when its batteries fail as measured by mission control? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) ly (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? ly (d) For what total time…Rocket A passes Earth at a speed of 0.79c. At the same time, rocket B passes Earth moving 0.94c relative to Earth in the same direction. Part A How fast is B moving relative to A when it passes A? Express your answer using two significant figures. ΑΣφ ? v = Submit Request AnswerChapter 37, Problem 012 The length of a spaceship is measured to be exactly 1/2 its rest length. (a) What is the speed parameter ß of the spaceship relative to the observer's frame? (b) By what integer factor do the spaceship's clocks run slow, compared to clocks in the observer's frame? (a) Number Units (b) Number Units
- The fastest spacecraft ever launched was the Helios probe, which travelled approximately 70,000 m/s as it passed close to the Sun. The speed of light is 3x 10^8 m/s. Suppose the Helios probe passed by a stationary observer on Earth. The observer can see an accurate clock ticking on the side of the Helios Probe.How many seconds on Earth are equivalent to one second on the Helios probe?In a certain particle accelerator, a proton has a kinetic energy that is equal to its rest energy. What is the speed of the proton relative to the accelerator? 0.87 c 0.25 c 0.75 c 0.71 c 0.50 c1. Taking north as positive and south as negative for all reference frames, suppose Mayor Adams is riding a southbound train to New York City traveling at 40 m/s relative to the ground, while Governor Hochul is riding a northbound train to Albany at 33 m/s relative to the ground. A) What is the velocity of Mayor Adams in Governor Hochul's reference frame (i.e. in the reference frame where Governor Hochul isn't moving)? B) What is the velocity of Governor Hochul in Mayor Adams reference frame? C) To his surprise Mayor Adams observes a groundhog running along the aisle towards the back of the train with a speed of 2 m/s relative to the train. What is the velocity of the groundhog in Governor Hochul's reference frame? D) What is the groundhog's velocity in the reference frame of someone standing at the train station? E) What is its velocity in Mayor Adams's reference frame? F) What is its velocity in the groundhog's frame? 30 10 ft. 5 ft. 15 ft.
- Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?A spaceship has a length of 20 meters at rest and accelerates to high speed. A person at rest on the ground observes that the spaceship has 12 meters. How fast (in x 108m/s) is the spaceship?A car traveling at 35.0 m/s takes 26.0 minutes to travel a certain distance according to the driver’s clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful: