Concept explainers
(a)
To write: The number of parsec in
(a)
Answer to Problem 69P
Explanation of Solution
Given:
The arc length is equal to
The angle of arc covered is
Formula used:
Write the expression for arc.
Rearrange the above expression in terms of
Here, r is the radius,
Calculation:
Substitute
The radius of circle is
Calculate the number of parsec in
Conclusion:
Thus,
(b)
To write: The number of meter in
(b)
Answer to Problem 69P
Explanation of Solution
Given:
Formula used:
Write the conversion for parsec into astronomical units as follows:
Calculation:
Calculate the number of meters in
Conclusion:
Thus,
(c)
To write: The number of meters in a light-year.
(c)
Answer to Problem 69P
A light-year is equal to
Explanation of Solution
Given:
Formula used:
Write the expression for distance covered.
Here, d is the distance covered, v is the speed of object and t is the time taken.
Calculation:
Substitute
Conclusion:
Thus, a light-year is equal to
(d)
To write: The number of AU in a light-year.
(d)
Answer to Problem 69P
A light-year is equal to
Explanation of Solution
Given:
Formula used:
Write the conversion for light years into meter as follows:
Calculation:
Calculate the number of AU in a light-year.
Conclusion:
Thus, a light-year is equal to
(e)
To write: The number of light-year in a parsec.
(e)
Answer to Problem 69P
Explanation of Solution
Given:
Formula used:
Write the conversion for parsec into meter as follows:
Calculation:
Calculate the number of light-year in a parsec.
Conclusion:
Thus,
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Chapter 1 Solutions
Physics for Scientists and Engineers
- One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardIn general, when a derived unit becomes complicated (involves too many standard units), what is done?arrow_forwardA sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?arrow_forward
- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.arrow_forwardTwo points in the xy plane have Cartesian coordinates (2.00, 4.00) m and (3.00, 3.00) m. Determine (a) the distance between these points and (b) their polar coordinates.arrow_forwardIn SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .arrow_forward
- A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forwardCompute, in centimeters and in meters, the height of a basketball player who is 6 ft 5 in. tall.arrow_forwardRoughly how many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human?arrow_forward
- A 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 P1.6arrow_forwardA skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forwardFor a given speed limit, would the numerical value be greater in mi/h or in km/h?arrow_forward
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