(i consider a self-gravitating ball of gas with density p(r) at radial distance r from its centre. let e(r) be the energy produced by unit mass of the gas at radial distance r from the centre. use the mass-density relation dm(r)/dr at radius r satisfies to show that the luminosity l(r) 4tr2p(r) = dl(r4t2p(r)e(r) (1) = dr this is the "energy production equation" 6 marks (ii) for the above system, derive the hydrostatic support equation for the pressure p(r) at radial distance r: dp(r)_mr)p{r) (2) = dr 6 marks 3 marks (iii) what are the conserved quantum numbers in every nuclear reaction? (iv) write down the three steps involved in the pp1-chain fusion reaction which fuses h nuclei into 4he in a main sequence star. 3 marks (v) give a qualitative sketch of the potential energy v of interaction between two h nuclei, as a function of their separation

Wavelength,frequency,and energy are related.what happens to a wave as it’s wavelength gets shorter?

Aplayground merry-go-round has a radius of 4.6 m and a moment of inertia of 200 kg-m2 and turns with negligible friction about a vertical axle through its center. a child applies a 26.0 n force tangentially to the edge of the merry-go-round for 15.0 seconds. if the merry-go-round is initially at rest, how much work did the child do on the merry-go-round?

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?