Question

Physics 1301: College Physics Homeworlk 1. The speed of light is now defined to be 2.99 7924 58 x 10 m/s. Express the speed of light to (a) three significant figures, (b) five significant figures, and (c) seven significant figures 2. Using your calculator, find, in scientific notation with appropriate rounding (a) the value of(2.437 10X6521 I #10)İ537 x 10") and (b) the value of (3.14159 10 X27.01 x 10/(1 234 x 10) 3. Suppose your hair grows at the rate of I/32 inch per day Find the rate at which it grows in nanometers per second. Since the distance between atoms in a molecule is on the order of 0. I am, your answer suggests how rapidly atoms are assembled in this protein synthesis 4. The speed of light is about 3.00 *10 m/s. Convert this figure to miles per hour. 5. A house is 50.0 ft long and 26 ft wide and has 80-fl-high ceilings What is the volume of the interior of the house in cubic meters and in cubic centimeters? (Volume-length x width x height) 6. Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (-3.0, 4.0). where the units are centimeters. Determine the distance between these points 7. For the triangle shown in Figure below, what are (a) the length of the unknown side, (b) the tangent of 0, and (c) the sine of p? 6.00 m 9.00 m 8. A ladder 9.00 m long leans against the side of a building. If the ladder is inclined at an angle of 75.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building? 9. A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the a baseline. Then he sights across to the tree. The angle from his baseline to the tree is 35.0°. How opposite bank, he walks 100 m along the riverbank to establish wide is the river?

Answer 1

C = 2.99792458 times 10^8 m/s a) Rounded to 3 significant figures: C = 3.00 times 10^8 m/s b) Rounded to 5 significant figures: C = 2.9979 times 10^8 m/s c) Rounded to 7 significant figures: C = 2.997925 times 10^8 m/s a) 2.959 times 10^9 b) 68.763 1/32 inch/day = 1/32 times 1 inch/1 day = 1/32 times 2.54 times 10^7 nm/86400 sec = 9.1869 nm/s 3 times 10^8 m/s = 3 times 10^8 times 2.23694 mph = 6.71087 times 10^8 mph Volume = 50 ft times 26 ft times 8 ft = 10,400 ft^3 [Because 1 ft = 0.0283`168 m^3] = 294.4952 m^3 = 294.4952 times (100)^3 cm^3 = 294495200 cm^3 (5, 3) (-3, 4) distance = squareroot (5 - (-3))^2 + (3 - 4)^2 = squareroot 64 + 1 = squareroot 65 = 8.06225 cm a) squareroot 9^2 - 6^2 = 6.7082 m b) theta = sin^-1 (6/9) = 41.81 degree c) phi = 48.189 degree Cos 75 degree = x/9 Rightarrow x = 9 cos 75 degree = 2.329 m