a Use the data below Write a ratio to determine the factor b

a. Use the data below. Write a ratio to determine the factor by which you would multiply the weight of a 150-1b person on earth to find his or her weight on Mars.

b. Find the person\'s weight on Mars.

c. Repeat parts (a) and (b) for two other planets

th\'s ost eccentricity of 00,000 km at its er ctivity 2 ho ked on th ronaurs ht on Earth. This is because as they weighed about one sixth he onal a raction ween the weight of object is mined by the following formula c o ect and the plane he pl to estimate the weight of an object on s on. You can tant m gravitational force amM, the surface of any For mass of the where G universal gravitational on the a given object, object, M mass of the planet, and r us of th he variables m remain constar e fu of gravity depends Man on M and r data below. Write a on the M ratio to deler multiply the weigh mine the fact of a 150-lb uly 20, 1969, u s by which person on Earth stronaut o find his irst set Find the person\'s weight on Mar or her wel ght on Mars. on the moon. Repeat parts (a and (b) for two other planets. Mercury, 5788 Mercurys 1 Jupiter 2439 k mass: 393 Venuses 1 Jupiter dius: 6052 Saturn mass: 3,3 Saturns 1 Jupiter adius: 60,268 km Mars. mass: 2894 Marses 1 Jupiter radius: 3397 km Earth mass: 317 Earths 1 Jupiter radius: 6378 km upite mass: 1 Jupiter radius: 71,942 km Go Online For: Information about Mars Web Code: age-1053 Bouncing to a Stop Sojourner rover The Pathfinder Probe parachuted onto Mars inside a giant beach bal a set of air bags designed to cushion the probe\'s landing. The probe bounced 15 times across the rocky ground and rolled to a stop. Its airbags deflated. Three panels then folded out like petals, exposing the probe\'s instruments and the ourner rover to the Martian landscape 597

Solution

Force(F) = GMm/R²

F = mg so the factor is g = GM/R²

(a) For Mars, g_m = GM_m/R_m² (here m represents Mars)

g_e = GM_e/R_e² (here e represents earth)

Weight on earth = mg_e

Weight on Mars = mg_m

mass 1 Earth = 1/317 jupiter R_e = 6378 km

mass 1 Mars = 1/2894 jupiter R_m = 3397 km

Weight on Mars = mg_m = mg_eg_m/g_e = g_m/g_e * Weight on earth.

So factor = g_m/g_e

(b) Weight on Mars = 150* g_m/g_e

= 150 *GM_m/R_m² /GM_e/R_e²

= 150 * 317*6378 *6378/2894*3397*3397

= 57.92

(c) You can do the same.