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Chapter 1: Q5 DQ (page 389)
You have probably noticed that the lower the tire pressure, the larger the contact area between the tire and the road. Why?
The pressure is inversely related to the contact area.
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A cylindrical bucket, open at the top, is 25.0 cm high and 10.0 cm in diameter. A circular hole with a cross-sectional area 1.50 cm2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the rate of 2.40 x 10-4m3/s. How high will the water in the bucket rise?
You are given two vectors and . Let counter- clockwise angles be positive. (a) What angle does make with the +x-axis? (b) What angle doeslocalid="1662185215101" make with the +x-axis? (c) Vectorlocalid="1662185222673" is the sum of localid="1662185243350" andlocalid="1662185251585" , so localid="1662185235469" What angle does localid="1662185258976" make with the +x-axis?
A lunar lander is makingits descent to Moon Base I (Fig. E2.40). The lander descendsslowly under the retro-thrust of its descent engine. The engine iscut off when the lander is 5.0 m above the surface and has a downwardspeed of 0.8m/s . With the engine off, the lander is in freefall. What is the speed of the lander just before it touches the surface?The acceleration due to gravity on the moon is .
(a) Write each vector in Fig. E1.39 in terms of the unit vectors and . (b) Use unit vectors to express vector , where (c) Find the magnitude and direction .
An astronaut has left the International Space Station to test a new space scooter.
Her partner measures the following velocity changes, each taking place in a interval.
What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?
Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at , and at the end of the interval she is moving toward the right at .
(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" , and at the end she is moving toward the left at .
(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" .
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