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What is quantity of motion?
A wet socks clinging to the inside of a washing machine drum which is spinning at a speed of
4.7 m/s. The radius of the drum is 30 cm. What is the minimum coefficient of static friction
between sock and the drum so that the sock will not slip down?
A rope 5m long is fastened to two hooks 4m apart on a horizontal ceiling to the rope is attached a 10kg mass so that the segment of the rope is 3m and 2m. Compute the tension in each segment
The orbital speed of the Earth around the Sun is 30 km/s. In one year, how many seconds do the clocks on the Earth lose with respect to the clocks of an inertial reference frame at rest relative to the Sun
A muon formed high in the Earth’s atmosphere is measured by an observer on the Earth’s surface to travel at speed 𝑣 = 0.990𝑐 for a distance of 4.60 km before it decays into an electron, a neutrino, and an antineutrino (𝜇− → 𝑒− + 𝜈 + 𝜈̅).
(a) For what time interval does the muon live as measured in its reference frame?
(b) How far does the Earth travel as measured in the frame of the muon?
A non-flat screen, older style television display (see figure) works by accelerating electrons over a short distance to relativistic speed, and then using electromagnetic fields to control where the electron beam strikes a fluorescent layer at the front of the tube. Suppose the electrons travel at 6.00 × 107 m/s through a distance of 0.200 m from the start of the beam to the screen.
(a) What is the time of travel of an electron in the rest frame of the television set?
(b) What is the electron’s time of travel in its own rest frame?
The Hypersonic Technology vehicle 2 (HTV-2) is an experimental rocket vehicle capable of travelling at 21000 km/h (5830 m/s). If an electronic clock in the HTV-2 measures a time interval of exactly 1s duration, what would observers on Earth measure the time interval to be?
A star is 5.00 ly from the Earth. At what speed must a spacecraft travel on its journey to the star such that the Earth–star distance measured in the frame of the spacecraft is 2.00 ly
A bangka (boat) starts from rest. After 10 seconds, the bangka has a speed of 40 km/h.
(a) Compute the bangka’s final velocity in units of m/s.
(b) Compute the bangka’s average acceleration.
A ball is dropped from the top of a 5.00-m high building. If air resistance is neglected, what is its velocity after 0.70 s?
