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Chapter 1: Q4-35DQ (page 123)
When a car is hit from behind, the occupants may experience whiplash. Use Newton鈥檚 laws of motion to explain what causes this result.
Passengers in a car which is suddenly hit from behind may experience a whiplash due to inertia of rest.
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The driver of a car wishes to pass a truck that is traveling at a constant speed of(about). Initially, the car is also traveling at, and its front bumper isbehind the truck鈥檚 rear bumper. The car accelerates at a constant 0.600, then pulls back into the truck鈥檚 lane when the rear of the car isahead of the front of the truck. The car islong, and the truck is 21.0m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?
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.)
One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun in early 1996. The orbital period of this comet is estimated to be about 30,000 years. Find the semi-major axis of this comet鈥檚 orbit. Compare it to the average sun鈥揚luto distance and to the distance to Alpha Centauri, the nearest star to the sun, which is 4.3 light-years distant.
A Simple Reaction-Time Test.A meter stick is held vertically above your hand, with the lower end between your thumb and first finger. When you see the meter stick released, you grab it with those two fingers. You can calculate your reaction time from the distance the meter stick falls, read directly from the point where your fingers grabbed it. (a) Derive a relationship for your reaction time in terms of this measured distance, d. (b) If the measured distance is 17.6 cm, what is your reaction time?
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