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Consider a spiral galaxy with a "flat" rotation curve beyond the central 2 kpc
a. Derive the general relation giving the orbital period, P, of a star (or other object) in the disc orbiting the centre of the galaxy, as a function of the radius, R (>2kpc) , from the galactic centre.
b. If stars in the flat part of the rotation curve are orbiting at 250km/s, calculate the orbital period, P in years, for a star at 8kpc from the galactic centre and a hydrogen cloud at 30kpc.
A Geiger counter reading of a radioactive sample is initially 6920 counts per minute. What is the sample's half-life
a man standing 1.56 m in front of a shaving mirror produces an inverted image 17.6 cm in front of it. how close to the
The ammonia molecule NH3 has a permanent electric dipole moment equal to 1.47 D, where 1 D = 1 debye unit = 3.34 x 10-30 C-m. Calculate the electric potential in volts due to an ammonia molecule at a point 65.0 nm away along the axis of the dipole..
A river descends 20 m through rapids. The speed of the water is 3.0 m/s upon entering the rapids and 11 m/s upon leaving. What percentage of the gravitational potential energy of the water-Earth system is transferred to kinetic energy during the ..
A car battery with a 12 V emf and an internal resistance of 0.035 is being charged with a current of 60 A. What is the rate Pr of energy dissipation inside the battery
A lens with a refrective index of 1.5 is coated with a material of refractive index of 1.2 in order to minimize the reflection. what is the thinnest possible coating
A 3.5 g ping-pong ball rubbed against a wool jacket acquires a net positive charge of 1.5muC. Estimate the fraction of the ball's electrons that have been removed
A 43 power refracting telescope (wherepower is the angular magnification) has an eyepiece with a focallength of 4.2 cm. How long is the telescope
A ball m=10 g is launched straight upward by a spring. The spring was initially compressed 25 centimeter by a force of 1.25 Newton. Find how high does the ball rise assuming friction is negligible
A rock is thrown from the roof of a building, by an initial velocity of 10.0m/s at an angle of 30.0degree above the horizontal. The rock is observed to strike the ground 43.0m from the base of the building. What is the height of the building assuming..
Determine the anchoring forces Rx and Ry required to hold in place a conical nozzle at the end of hose when the water flowrate is 50 L/min. determine the weight of the liquid in the nozzle
Find the recoil speed of the rifle. ________ m/s (b) If a 700-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. ________ m/s
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