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- A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c) tan . Figure P1.49A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6
- (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?Lei A = 60.0 cm at 270 measured from the horizontal. Let B = 80.0 cm at some angle . (a) Find the magnitude of A + B as a function of . (b) From the answer to part (a), for what value of does | A + B| take on its maximum value? What is this maximum value? (c) From the answer to pan (a), for what value of does | A + B| take on its minimum value? What is this minimum value? (d) Without reference to the answer to part (a), argue that the answers to each of parts (b) and (c) do or do not make sense.(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?
- A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah is dimensionally correct. (b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the footprint of the object can have any shape and that the height can, in general, be replaced by the average thickness of the object.)The consumption of natural gas by a company satisfies the empirical equation V = 1.50t + 0.008 00t2, where V is the volume of gas in millions of cubic feet and t is the time in months. Express this equation in units of cubic feet and seconds. Assume a month is 30.0 days.nework @@ 2 W S Question 9 of 14 X mmand Your answer is partially correct. A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h= 1.7 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles. (a) Number -0² (b) Number i 2.5 F2 # 3 E D 80 F3 C 3293.33 $ 4 R F Q F4 % 5 V T JAN 20 A 9 F5 Units G Units 6 B mi c F6 Y H & 7 N Horizon K F7 U 8 00 J DII F8 I M ( - O 9 F9 K 1/10 E ⠀ O ) V O D J F10 P 니 - command 4 V P F11 T { + option Ji) E F12 ? 11
- The thickness of a human hair is 0.015cm. This thickness is same as O a. 0.15 um O b. 1500 um OC. 15 um O d. 150 umA light-year (ly) is the distance light travels in one year (at speed of 2.998 ×× 108 m/sm/s ). An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 ×× 108 kmkm.1 yearyear = 3.156 ×× 107 ss. a. How many meters are there in 6.50 lyly ? Express your answer using three significant figures. b. How many AUAU are there in 6.50 lyly light-year? Express your answer using three significant figures.I make a scale model of a tower using a scale of 1:300. If the real toweris 120 metres tall, how tall is my scale model in cm? Explain