Consider a bicyclist with air resistance proportional to v² and rolling resistance propor- tional to v, so that dv =-Bv² - Cv. dt If the cyclist has initial velocity vo and is coasting on a flat course, a) find her velocity as a function of time, and b) find her position as a function of time.
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- You have an assistantship with a math professor in a future world where space travel is common and spacecraft regularly achieve near-light speeds. A spacecraft has taken off recently to carry individuals to colonize an Earth-like planet around a nearby star. Your professor, who remains on Earth,is teaching the students on the spacecraft via the future version of distance learning. It is time for the students on the spacecraft to take a math exam. The professor wishes the students to have a time interval Δtp = 2.00 h to complete the exam, so just as the spacecraft passes Earth on its last triparound the Sun at its constant cruising speed of 0.960c, she sends a signal to the proctor to have the students begin the exam. Knowing of your experience in physics courses, the professor asks you to determine the time interval through which she should wait before sending a radio signal to thedeparting spacecraft to tell the proctor to have the students stop working on the exam.Particle-X has a speed of 0.730 c and a momentum of 6.240×10-19 kgm/s. What is the mass of the particle? Hints: The classical momentum of an object is the product of its mass and its velocity. How does the relativistic momentum look like compared to the classical momentum? What is the rest energy of the particle? Hint: This is THE very famous relationship between mass and energy attributed to Einstein. What is the kinetic energy of the particle? What is the total energy of the particle?Two rockets fly away from the Earth in opposite directions. Each rocket is moving at a speed of v = 0.83 c as seen from the Earth. a. How fast is rocket "B" moving as seen by the astronaut in rocket "A"? Express your answer as a decimal fraction of the speed of light. b. If the astronaut on rocket "A" measures a time interval of 60 minutes, how much time would they say goes by for the astronaut on rocket "B"? minutes c. Rocket "A" travels out from Earth at a speed of v = 0.83 c for a period of one year as measured on Earth, turns around, and then travels back to the Earth at the same speed for another Earth year. How much did the astronaut on the rocket age? years
- My sprint training regimen is surprisingly successful, and by the end of summer I can run at 60% the speed of light. When I run past the new class of physics students next year I will appear to be: a Same height and thickness as usual b 25% shorter c 25% thinner d 25% thicker e 25% tallerA girl standing on the sidewalk observes a car passing by. Someone sitting in the car throws a box outside at a speed of 3m/s in the direction that the car is going. If the car is moving at 28m/s, what speed will the girl on the sidewalk observe the box moving at ?Willy Wonka is in court for running a red light (675 nm). He tells the judge that it was indeed, a green light (540 nm). Calculate how fast Willy Wonka was driving so we can put him in jail in the name of physics.
- If a flashing light source moves toward you fast enough so that the duration between flashes is half as long, how long will be the duration between flashes if the source is moving away from you at the same speed?Your friend and you fly in identically constructed spacecrafts. She overtakes you at a constant speed. She tells you that her craft is 24 m-long and your craft is 12 m long. a) How fast is your friend traveling relative to you? b) How long does it take your friend’s craft to pass you? c) What is the speed of the light coming from the headlights of your fiend’s craft as measured by you? Show the calculation or give the reason for your answer.Please help me with all the parts in this problem, and double check your answers, I have had issues with previous tutors giving incorrect answers in the past.
- Based on a grade 11 physics student, answer the following question:The rebels are fighting the imperials on the icy planet Hoth. Han Solo didn’t dress for the weather (this ain’t Tattooine bud!), and is frozen solid (1234 kg of ice, at -123˚C ). Fortunately for Han, an AT-AT walker shoots its blasters and misses its target but hits Han which vaporizes the ice and brings him to a piping 102˚C. How much heat was added to Han Solo to turn him from a frozen chunk into a ‘Luke-warm’ rebel?Electrons are accelerated through a potential difference of 850 kVkV , so that their kinetic energy is 8.5×105 eVeV . A) What is the ratio of the speed vv of an electron having this energy to the speed of light, ccc? Express your answer as a multiple of speed of light cc. B) What would the speed be if it were computed from the principles of classical mechanics? Express your answer in meters per second.Could I have help with this physics question