Chapter 1: 1 (page 27)
Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile and (b) feet in 1.00 km.
(a)1 mile is equivalent to 1.609 km.
(b)1 feet is equivalent to 0.3048 km.
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A useful and easy-to-remember approximate value for the number of seconds in a year is𝛑×107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)
A cylindrical bucket, open at the top, is 25.0 cm high and 10.0 cm in diameter. A circular hole with a cross-sectional area 1.50 cm2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the rate of 2.40 x 10-4m3/s. How high will the water in the bucket rise?
A particle of mass 3m is located from a particle of mass m.
(a) Where should you put a third mass M so that the net gravitational force on M due to the two masses is precisely zero?
(b) Is the equilibrium of M at this point stable or unstable (i) for points along the line connecting m and 3m, and (ii) for points along the line passing through M and perpendicular to the line connecting m and 3m?
A circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels around the track from the north side to the south side? When she makes one complete circle around the track? Explain.
You are on the roof of the physics building, above the ground (Fig. P2.70). Your physics professor, who istall, is walking alongside the building at a constant speed of. If you wish to drop an egg on your professor’s head, where should the professor be when you release the egg? Assume that the egg is in free fall.
(Fig. P2.70)
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