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Simplify the following expression, combining terms as appropriate and combining and canceling units. (See Section 1.5.)
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Chapter 1 Solutions
College Physics
- A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardCalculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103arrow_forward
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- In the following calculations, be sure to express the answer in standard scientific notation with the appropriate number of significant figures. 3.78 x < 107 g – 4.701 × 105 g - x 10 garrow_forwardThe acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, g₁. Express the equation in terms of the radius R of the Earth, g, and h. &h= Suppose a 91.75 kg hiker has ascended to a height of 1802 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9,807 m/s² and R= 6.371 x 106 m. Enter your answer as a positive value. weight change =arrow_forwardA jet airplane reaches 863. km/h on a certain flight. What distance does it cover in 4.0 min? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.arrow_forward
- What is the speed of a car going v=1.000 mph in SI units? Notice that you will need to change miles to meters and from hours to seconds. you can do each conversion separately. Use the facts that 1 mile=1609 m and 1 hour= 3600sarrow_forwardAnswer the entire problem set by using kinematic equations. Your answers must be rounded off to two decimal places. If the numerical answer exceeds 1000, do not use a comma as for 1,000. Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 333 m/s in 1.11 seconds, then what is the acceleration, and what is the distance that the sled travels?arrow_forwardshown in Fig. resultant displacement by 1.28 for a different approach.) Figure E1.21 2.6 km START 800 4.0 km STOP 3.1 km 45° 1.22. For the vectors A and B Figure E1.22 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- self back where she started. Use a scale drawing to determine the mag- nitude and direction of the fourth displacement. (See also Problem 1.57 for a different approach.) W-E Ď (10.0 m) 25.0° Ć (12.0 m) y 53.00 B (15.0 m) 30.0° 0 X A (8.00 m) Section 1.8 Components of Vectors 1.24 Let be the angle that the vector A makes with the +x- axis, measured…arrow_forward
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