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Chapter 1: Q2DQ (page 123)
A ball thrown straight up has zero velocity at its highest point. Is the ball in equilibrium at this point? Why or why not?
The ball is not in equilibrium, at all moments during the motion as the gravitational force still acts on the ball.
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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?
A typical adult human has a mass of about . (a) What force does a full moon exert on such a human when directly overhead with its centre away? (b) Compare this force with the pressure exerted on the human by the earth.
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.
Planet Vulcan.Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)
In March 2006, two small satellites were discovered orbiting Pluto, one at a distance of 48,000 km and the other at 64,000 km. Pluto already was known to have a large satellite Charon, orbiting at 19,600 km with an orbital period of 6.39 days. Assuming that the satellites do not affect each other, find the orbital periods of the two small satellites withoutusing the mass of Pluto.
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