Chapter 1: Q2DQ (page 193)
An elevator is hoisted by its cables at constant speed. Is the total work done on the elevator positive, negative, or zero? Explain.
Short Answer
The total work done on the elevator will be zero.
Chapter 1: Q2DQ (page 193)
An elevator is hoisted by its cables at constant speed. Is the total work done on the elevator positive, negative, or zero? Explain.
The total work done on the elevator will be zero.
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Get started for freeFor a spherical planet with mass , volume , and radius ,derive an expression for the acceleration due to gravity at the planet’s surface, , in terms of the average density of the planet, , and the planet’s diameter, . The table gives the values of and for the eight major planets:
(a) Treat the planets as spheres. Your equation for as a function of
and
shows that if the average density of the planets is constant, a graph of
versus
will be well represented by a straight line. Graph
as a function of
for the eight major planets. What does the graph tell you about the variation in average density? (b) Calculate the average density for each major planet. List the planets in order of decreasing density, and give the calculated average density of each. (c) The earth is not a uniform sphere and has greater density near its center. It is reasonable to assume this might be true for the other planets. Discuss the effect this nonuniformity has on your analysis. (d) If Saturn had the same average density as the earth, what would be the value of
at Saturn’s surface?
A cargo ship travels from the Atlantic Ocean (salt water) to Lake Ontario (freshwater) via the St. Lawrence River. The ship rides several centimeters lower in the water in Lake Ontario than it did in the ocean. Explain
The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
Is a pound of butter on the Earth the same amount as a pound of butter on Mars? What about a kilogram of butter? Explain.
An point mass and a point mass are held apart. A particle of mass mis released from a point between the two masses from the group along the line connecting the two fixed masses. Find the magnitude and direction of the acceleration of the particle.
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