Using Table 12.1 the density of ice is 919 we already have the mass which is 1000 kg of ice so the volume of 1000 kg of ice would be 1.08814m³ 6. How many gold atoms are in a 1 kg gold bar? The chemical symbol of gold is Au. Consult The Periodic Table in Figure 11.9 on p. 216 in the textbook. Hint: Remember 1u=1.66x10 -27 kg. 1 mole= 6.022x10 23 , which is Avogadro’s number If 1kg = 1,000g Gold 196.97 g/mol 1000/196.97 = 5.08 mol 7. There are two water containers: a cube and a sphere. The length of the side of the cube is 3 m and the radius of the sphere is 3 m. When the two containers are full of water, which container contains more mass? Hint: Use the relationship between density, mass, and volume. Mass=density x volume. If the length of the side of a cube is r m, the volume of the cube is r 3 m 3 .
Unit V Problem Solving Worksheet If the radius of a sphere is r, the volume of the sphere is 4/3 xπ x r 3 m 3 . Here x r 3 =r x r x r. Cube volume = L³ = 3³ = 27m³ Sphere volume = 4 3 ×π r 3 = 4 3 × 22 7 × 3 3 = 113.14286 m 3 The sphere contains more mass. 8. A force of 100 N is required to squeeze a hand exerciser that has a coiled spring. The spring is compressed by 0.02 meters. Determine the spring constant. Hint: Use Hooke’s law. The restoring force of an ideal spring is F=-kx, where k is the spring constant and x is the displacement of the spring from its original length. Spring constant = force extension = f x = 100 0.02 = 5000 n / m
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