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1. Astronomers discover a planet orbiting around a star similar to our sun that is 20 lightyears away. How fast must a rocket ship go if the round trip is to take no longer than 40 years in time for the astronauts aboard? How much time will the trip take as measured on Earth?
2. Particle physicists use particle track detectors to determine the lifetime of short-lived particles. A muon has a mean lifetime of 2.2 µs and makes a track 9.5 cm long before decaying into an electron and two neutrinos. What was the speed of the muon?
A hydrogen atom in the ground state absorbs a 20 eV photon. What is the speed of the liberated electron
A load of 50kg is applied to a lower end of a steel rod 80cm long and 0.6cm in diameter. How much will the rod stretch
Two neutrons are in an infinite square well with L = 2.0fm. What is the minimum total energy that the system can have? (Neutrons, like electrons, have ant symmetric wave functions. Ignore spin.)
Two children setup a "telephone" by placing a long, slender aluminium (Y = 6.9 × 1010 N/m2) bar that has a length of 6.1-m between their two houses. To communicate, the child taps a coded message on one end. How long do the sound waves take to reach ..
A charge of -3.25nC is placed at the origin of a xy-coordinate system, and a charge of 2.40nC is placed on the y axis at y = 3.50cm. Find the magnitude of this force
Three electrons are located at the vertices of an equilateral triangle, one at each vertex, find the magnitude of the net electrostatic force on each electron
A plane has an airspeed of 200mph . The pilot wishes to reach a destination 500mi due east, but a wind is blowing at 30mph in the direction 40degrees north of east. How long will the trip take
what height above the ground level
Explorer is caught in a whiteout (in which snowfall is so thick that the ground cannot be distinguished from the sky) as returning to base camp.
Consider two masses m1 and m2 at the top of two frictionless inclined planes. Both masses start from rest at the same height. However, the plane on which m1 site is at an angle of 30 degrees with the horizontal,
Polymer diffusion and Calibration of an optical tweezer
A uniform electric field exists in a region between two oppositely charged plates. What is the speed of the electron as it strikes the second plate
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