Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 4, Problem 7ASA
How can the parabolic form y = ax2 be plotted as a straight line on Cartesian graph paper?
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Given points (r1, θ1) and (r2, θ2) in polar coordinates,obtain a general formula for the distance between them. Simplifyit as much as possible using the identity cos2θ + sin2θ = 1.Hint: Write the expressions for the two points in Cartesiancoordinates and substitute into the usual distance formula.
given a circle of radius a, find by integration using polar coordinates
(d) its circumference
(e)the centroid of a quarter circle arc
give a Graphical Representation: F/N and the best fit line
Is the graph a straight line passing through the origin? yes or no
What conclusion may be drawn regarding the ratio F/N?
What is the ratio F/N called?
Chapter 4 Solutions
Physics Laboratory Experiments
Ch. 4 - Scientists use models and theories to describe...Ch. 4 - Prob. 2EPCh. 4 - Prob. 3EPCh. 4 - The mass (m) of the pendulum bob may be varied....Ch. 4 - Check with one of your fellow students (or your...Ch. 4 - Describe what is meant by the scientific method...Ch. 4 - What are the physical parameters in the...Ch. 4 - Prob. 3ASACh. 4 - How does the period of a pendulum vary...Ch. 4 - How will you experimentally check the theoretical...
Ch. 4 - Prob. 6ASACh. 4 - How can the parabolic form y = ax2 be plotted as a...Ch. 4 - What is meant by damped harmonic motion, and what...Ch. 4 - It was suggested that you measure the time for...Ch. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Suppose in the damped equation had ek1t and ek2t,...Ch. 4 - Prob. 7Q
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- If the polar coordinates of a point are (r,)and its rectangular coordinates are (x,y) , determine the polar coordinates of the following points: (a) (x,y) , (b) (2x,2y) , and (C) (3x,3y) .arrow_forwardAt one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?arrow_forwardThe following figure shows a triangle formed by the three vectors A , B , and C . If vector C is drawn between the midpoints of vectors A and B , show that C=C/2arrow_forward
- A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?arrow_forwardTwo points in a plane have polar coordinates P1(2.500m,/6) and P2(3.800m,2/3). Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the distance to a nearest centimeter.arrow_forwardSuppose [V]=L3,[]=ML3, and [t]=T . (a) What is the dimension of dV? (b) What is the dimension of dV/dt? (c) What is the dimension of (dV/dt)?arrow_forward
- The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig. P3.8). A cat leaves her house and travels to Mike Mulligans place 4 blocks west and 3 blocks north of its starting point. After lapping up the milk that Mike always leaves out, the cat travels an additional 1 block north and 3 blocks east to Mrs. McGillicuttys house. a. On your paper, carefully copy the grid of streets that contains the cats house, Mike Mulligans house, and Mrs. McGillicuttys house. Then draw and label three displacement vectors on your sketch: r1, the cats displacement from her house to Mike Mulligans; r2, the cats displacement from Mike Mulligans to Mrs. McGillicuttys; and rtot, the cats total displacement. b. Write an equation to relate the three displacement vectors you have drawn. c. Is the distance the cat traveled greater than, less than, or equal to the magnitude of the cats total displacement vector? Explain. FIGURE P3.8arrow_forwardTwo points in the Cartesian plane are A(2.00m,4.00m) and B(-3.00m,3.00m) . Find the distance between them and their polar coordinates.arrow_forwardShow a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for each position where the direction vector pierces the unit cell.arrow_forward
- A farmer wants to fence off his four-sided plot of flat land. He measures three sides, shown as A, B, and D in the Figure, and then correctly calculates the length and orientation of the third side C. The length of A, B, and D are all 7.06 km. Their angles theta1, theta2, and theta3 are all 2.16 degrees. What did he find as the magnitude of C (in unit of km)?arrow_forwardI keep trying to combine these equations but whenever I do so I get a negative in the square root. Please help.arrow_forwarddid i plot my points correctly for number 7 using the data? and i need help with question 8 tooarrow_forward
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