(6) Sphere A has twice the mass and half the radius of sphere B. By what factor is sphere A denser than sphere B.

Redo Example 5, assuming that there is no upward lift on the plane generated by its wings. Without such lift, the guideline slopes downward due to the weight of the plane. For purposes of significant figures, use 0.954 kg for the mass of the plane, 18.1m for the length of the guideline, and 18.8 and 37.6 m/s for the speeds. (a) Number (b) Number i eTextbook and Media Save for Later Units Units > Attempts: 0 of 5 used Submit Answer

(II) Table 5–3 gives the mean distance, period, and massfor the four largest moons of Jupiter (those discovered byGalileo in 1609). Determine the mass of Jupiter: (a) usingthe data for Io; (b) using data for each of the other threemoons. Are the results consistent?

(b) A worker wishes to pile sand onto a circular area in his yard. The radius of the circle is R. No sand is to spill onto the surrounding area; see Fig. Show that the greatest volume of sand that can be stored in this manner is mu,R 3/3 .where us is the coefficient of static friction of sand on sand. (The volume of a cone is Ah/3, where A is the base area and h is the height.)

(II) Two objects attract each other gravitationally with a force of 2.5x10-10  N when they are 0.25 m apart. Their total mass is 4.00 kg. Find their individual masses.

(c) A small object was found to drop above the surface of a big planet with no initial velocity and it fell 13.5 m in 3 s. If the radius of the planet is 5.82 x 10° m, calculate the small object's acceleration during the fall and the mass of the big planet.

(I) Calculate the force of Earth’s gravity on a spacecraft 2.00 Earth radii above the Earth’s surface if its mass is 1850 kg.

12) If a person weighs 882 N on the surface of the earth, at what altitude above the earth's surface must they be for their weight to drop to 800 N?

(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5-44. The masses are ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? 318 тE, MSat 95.1 mẸ, Venus Earth Sun Jupiter Saturn FIGURE 5-44 Problem 41 (not to scale).