NASA The radius of the planet Saturn is 5.85 × 107 m, and its mass is 5.68 x 1026 kg (Fig. P1.48). (a) Find the density of Saturn (its mass divided by its volume) in grams per cubic centimeter. (The volume of a sphere is given by (4/3) 3.) (b) Find the area of Saturn in square feet. (The surface area of a sphere is given by 4πr².) Figure P1.48 A view of Saturn.

If the DNA strand in a molecule could be stretched out, it would have a length on the order of 2.0 m. What would this be in feet and inches?

Consider the equation y=mt+b, where the dimension of y is length and the dimension of t is time, and mand bare constants. What are the dimensions and SI units of (a) mand (b) b ?

For a given speed limit, would the numerical value be greater in mi/h or in km/h?

Is the following statement reasonable? The area of a dorm room is 49 m2.

When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?

In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .

Consider the equation 4000/400=10.0 . Assuming the number of significant figures in the answer is correct, what can you say about the number of significant figures In 4000 and 400?

A popular saying is Give him an inch, and hell take a mile. What would be the equivalent saying using comparable metric units?

Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6