: < 00 be 01-Oscillati... T + NYC-As.... ~ Assignment 11 - Special Relativity This assignment is meant for practice and will not be collected or marked. Question 1: a) How fast must a rocket travel on a journey to and from a distant star so that the astronauts age 11.0 years while the Missión Control workers on earth age 140 years? Assume that the time needed to accelerate and decelerate is negligible. b) As measured by Mission Control, how far away is the distant star? Problem 2: An astronaut in a space ship measures his pulse rate to be 60 beats per minute. At the same time, signals generated from this pulse are radioed to doctors on Earth, which the space ship is passing at a speed of 0.78 c. "Good grief!" explains one of the doctors (the one who didn't take Physics-NYC). "His body has been altered by aliens!" a) In this scenario, determine who would measure the proper time between the astronaut's heartbeats? Explain. b) In this scenario, determine who would measure the proper length of the space ship? Explain. c) Determine what was the pulse rate that the doctor detected? Question 3: A nuclear bomb containing 12.0 kg of plutonium explodes. The sum of the rest masses of the products of the explosion is less than the original rest mass by 1.20 grams. a) How much energy is released in the explosion? b) If the explosion takes place in 4.00 μs, what is the average power developed by the bomb? Answers: Q1: a) 0.997c; b) 69.8 light years Q3: a) astronaut; b) astronaut; a) 37.6 beats/s Q4: a) 1.08 x 1014 J; b) 2.7 x 1019 W PHY-NYC

: < 00 be 01-Oscillati... T + NYC-As.... ~ Assignment 11 - Special Relativity This assignment is meant for practice and will not be collected or marked. Question 1: a) How fast must a rocket travel on a journey to and from a distant star so that the astronauts age 11.0 years while the Missión Control workers on earth age 140 years? Assume that the time needed to accelerate and decelerate is negligible. b) As measured by Mission Control, how far away is the distant star? Problem 2: An astronaut in a space ship measures his pulse rate to be 60 beats per minute. At the same time, signals generated from this pulse are radioed to doctors on Earth, which the space ship is passing at a speed of 0.78 c. "Good grief!" explains one of the doctors (the one who didn't take Physics-NYC). "His body has been altered by aliens!" a) In this scenario, determine who would measure the proper time between the astronaut's heartbeats? Explain. b) In this scenario, determine who would measure the proper length of the space ship? Explain. c) Determine what was the pulse rate that the doctor detected? Question 3: A nuclear bomb containing 12.0 kg of plutonium explodes. The sum of the rest masses of the products of the explosion is less than the original rest mass by 1.20 grams. a) How much energy is released in the explosion? b) If the explosion takes place in 4.00 μs, what is the average power developed by the bomb? Answers: Q1: a) 0.997c; b) 69.8 light years Q3: a) astronaut; b) astronaut; a) 37.6 beats/s Q4: a) 1.08 x 1014 J; b) 2.7 x 1019 W PHY-NYC