3. In the future, we may encounter a civilization from another planet. They will not use the SI or AE systems of units. Suppose we meet aliens who use the Zerf as a unit of mass and the Spund as a unit of force. One Spund is the weight of a mass of one Zerf on the surface of Mars. The gravitational acceleration on Mars is 3.7 m/s². a.) What is gc in the alien system of units? Be sure to include the numerical value and the units. b.) How much would a 350 Zerf object weigh on the surface of Mars, in Spunds?

A. Use the definition of the center of mass to determine the maximum “wobble” velocity of a star of mass M caused by a planet of mass m orbiting at a distance r from the star with a period T. B. Thanks to Kepler, we know that the mass, period, and distance of an orbiting object are actually related. Use Newton’s version of Kepler’s Third Law to determine the maximum “wobble” velocity in terms of M, m, and r.

One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters.   c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube?  d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?

A light-year (ly) is the distance light travels in one year (at speed of 2.998 ×× 108 m/sm/s ). An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 ×× 108 km. 1 year = 3.156 ×× 107 s.   How many meters are there in 1.70 ly? Express your answer using three significant figures. Express in scientific notation!             1.70 ly = _________________m How many AU are there in 1.70 ly light-year? Express your answer using three significant figures. Express in scientific notation! 1.70 ly = _________________AU