Question

Indiana Jones is in a temple searching for artifacts. He finds a gold sphere with a radius of 2 cm sitting on a pressure sensitive plate. To avoid triggering the pressure plate, he must replace the gold with something of equal mass. The density of gold is 19.3 -103 kg/m3, and the volume of a sphere is V = 4/3 Ar3. Indy has a bag of sand with a density of 1,602 kg/m3. (A) What volume of sand must he replace the gold sphere with? If the sand was a sphere, what radius would it have? (B) Indy unsuccessfully matches the mass of the sphere, causing the exit to close! He sees a 4 m long, 50 kg board supported by two beams (one at the end and the other 3 m from the end) leading to another exit (see Figure below). Having collected a total of 50 kg of artifacts, what mass of artifacts must he leave at the start of the board (mi) so that it doesn't tip when he is at the other end (mı + m2 = 50 kg)? 80 kg m2 m = 50 ks 1 m 3 m