Question

4) The escape velocity on the surface of a planet is given by 2GM R where G = 6.67 x 10-11m2 kg-1 3-2 is Newton's gravitational constant, M is the mass of the planet, and R is the radius of the planet. The escape velocity is the velocity you have to thrown an object so that it does not come back down (better hit the gym!). Write v in terms of average mass density p. Recall that mass density is the mass divided by the volume. Assume that earth has a density 4 times that of Jupiter and that Jupiter has a radius 11 times greater than earth. What is the ratio of the escapes velocities of earth and Jupiter? 5) A mass m is connected to one end of a massless string of length L. The other end of the string is tied to a tall vertical pole of height H (much taller than L). The string is wound around the pole so that each wrap makes a small circle of the string and the mass touches the top of the pole. The mass is let go and the string begins to unwind. What is the angle that the rope makes with the pole when the mass reaches its maximum speed?
please explain the answer

Answer 1

A The escape velocity of a planet co 2GM R Now M. P. 4 AR3 y = 29:49Rp. SITGPR - 3 this is the required to capression.

A: Nearth a 81G Pearth R earth 3. Njupiter 811G your R Jupiler 3. jupiten Vearth V jupiter Peorets de Reart 12 Prupiszen Rsupilar) Now that given Pearth = 4x Piuptler Rearth = I x Rjupiter 11 Veren 4**) Vjumpiter נן = 0.1% 2