A neutron star is an extremely high dense celestial body consisting of entirely neutrons.Suppose we have a neutron star of mass
1.5 times that of the Sun and radius 20 km. The mass and radius of the Sun and radius are 2x10^30 kg and 6.96x10^8 m respectively.
(a) Find the ratio of the density of the neutron star to that of the Sun.
(b )Suppose we have a planet orbiting around the neutron star near the surface. Estimate the orbiting speed of this planet.
Flying Swing is a thriling ride in an amusement park.The following is a simplified diagram of the Flying Swing. Peter, of mass 60 kg, is sitting
on one of the swings. At the instant shown, he is 6 m from the central axix. Neglect air resistance and the size of Peter.
It spends 42 s for the swing to complete 8 revolutions uniformly.
(a) Find the liner speed of Peter.
(b) Find the angle that the swing makes with the vertical. Also find the tension F of the cable connected to the swing.
(c) Describe and explain any change in the value of the angle if Peter carries a heavy bag.