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Chapter 1: Q37Q (page 61)
A juggler throws a bowling pin straight up with an initialspeed of 8.20 m/s. How much time elapses until the bowling pinreturns to the juggler鈥檚 hand?
The total time elapsed by the bowling pin is 1.67 s.
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Mass Mis distributed uniformly over a disk of radius a. Find the
gravitational force (magnitude and direction) between this disk-shaped mass
and a particle with mass mlocated a distance xabove the centre of the disk
(Fig. P13.81). Does your result reduce to the correct expression as xbecomes
very large? (Hint:Divide the disk into infinitesimally thin concentric rings, use
the expression derived in Exercise 13.35 for the gravitational force due to each
ring, and integrate to find the total force.)
A useful and easy-to-remember approximate value for the number of seconds in a year is饾洃脳107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)
You normally drive on the freeway between San Diego and Los Angeles at an average speed of 105 km/h (65 mi/h), and the trip takes 1 h and 50 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 70 km/h (43 mi/h). How much longer does the trip take?
A Honda Civic travels in a straight line along a road. The car鈥檚 distance x from a stop sign is given as a function of time t by the equation where role="math" localid="1655226337795" androle="math" localid="1655226362269" . Calculate the average velocity of the car for each time interval: (a) t = 0 to t = 2.00 s; (b) t = 0 to t = 4.00 s; (c) t = 2.00 s to t = 4.00 s.
A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of, and the car has an acceleration of. The car overtakes the truck after the truck has moved. (a) How much time does it take the car to overtake the truck? (b) How far was the car behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Takeat the initial location of the truck.
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