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Chapter 1: 15 (page 28)
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.)
The percent error in the approximate value is 0.44%.
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In each case, find the x- and y-components of vector: (a); (b); (c); (d), where.
A Tennis Serve. In the fastest measured tennis serve, the ball left the racquet at . A served tennis ball is typically in contact with the racquet forand starts from rest. Assume constant acceleration. (a) What was the ball’s acceleration during this serve? (b) How far did the ball travel during the serve?
Rhea, one of Saturn’s moons, has a radius of 764 km and an acceleration due to gravity of 0.265 m/s2at its surface. Calculate its mass and average density.
A hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is not necessarily small compared with the radiusof the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth’s surface. Your expression should involve h,, and(the earth’s mass).
You throw a glob of putty straight up toward the ceiling,which is 3.60 m above the point where the putty leaves your hand.The initial speed of the putty as it leaves your hand is 9.50 m/s.
(a) What is the speed of the putty just before it strikes the ceiling?
(b) How much time from when it leaves your hand does it take theputty to reach the ceiling?
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