Q- Consider an object of mass m, moving in a circular orbit, subject to a central attractive for F whose magnitude is given by F(r) = h/r3.
(a)What are the dimensions of h?
(b) Show that the angular momentum for the motion is uniquely determined by h and m.
(c) What is the resulting relatio…
Q- The earth orbits the sun at a distance of about 1.5*1011 m in about 365 days (3.15*107 s).
(a) What is the earth’s speed along its orbital path?
(b) If the mass of the earth is 6*1024 kg, find the force exerted on it by the sun to keep it in orbit.
(c) What must be the mass of the sun to exe…
Q- A second pendulum is one that moves through its equilibrium position once each second. The period of the pendulum is precisely 2s. The length of a second pendulum is 0.9927 m at Tokyo Japan and 0.9942 m at Cambridge England. What is the ratio of the free-fall accelerations at these two locations?
Q- Sketch graphs of total mechanical, potential and kinetic energy verses time, on the same paper, for
(a) a 0.5 kg metal ball dropped from rest falling from point A to B in 5 second under gravity. (g = 10 m/s2)
(b) a 5.0g sheet of paper falling with terminal velocity 1 m/s from point A …
Q- A Star S have two planets A and B. Planet A has average orbital radius three times as big as planet B. If planet A orbits S in 2 earth years,
(a) How long is a year for the resident of planet B
(b) What is linear orbital speed of planet B, if the average radius of A is 3*1011 m.
Q- Four identical point particles (each having mass m=5000kg) are located at the points (-2,0), (0,8), (6,0) and (0,3) in the xy plane. All positions are measured in meters. Determine the magnitude of the total gravitational force on the particle located at (6,0) due to the other three particles.
Q1- Neutron stars are extremely dense objects with a mass comparable to the mass of the sun but a radius of only several thousand meters. Consider a neutron star of mass M = 1.99*1030 kg and a radius of R = 10.2 km.
(a) What is the gravitational acceleration near the surface of the star?
(b) If an…
(a) A space explorer comes across a spherical planet with a small moon in orbit around it. He observes that the moon completes one full orbit every 33 Earth days and moves at a distance R = 390 million m from the center of the planet. What is the mass of the planet? (One earth day =86400 s)
(b) U…
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