21ST CENTURY ASTRONOMY >CUSTOM<
6th Edition
ISBN: 9781324027836
Author: Kay
Publisher: NORTON
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Chapter 9, Problem 19QP
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What are the likely sources of Earth’s water?
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A satellite is in a circular orbit around the Earth at an altitude of 3.88 × 106 m.
(a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 × 106 m, and the mass of the Earth is 5.98 x 1024 kg.)
h
(b) Find the speed of the satellite.
km/s
(c) Find the acceleration of the satellite.
m/s² toward the center of the earth
Shown below is a waterslide constructed in the late 1800's. This slide was unique for its time due to the fact that a large number of small wheels along its
length made friction negligible. Riders rode a small sled down the chute which ended with a horizontal section that caused the sled and rider to skim across
the water much like a flat pebble. The chute was 9.76 m high at the top and 54.3 m long. Consider a rider and sled with a combined mass of 81.0 kg. They
are pushed off the top of the slide from point A with a speed of 2.90 m/s, and they skim horizontally across the water a distance of 50 m before coming to
rest.
9.76 m
Engraving from Scientific American, July 1888
A
(a)
20.0 m/
-54.3 m-
50.0 m
(b)
(a) Find the speed (in m/s) of the sled and rider at point C.
14.14
m/s
(b) Model the force of water friction as a constant retarding force acting on a particle. Find the magnitude (in N) of the friction force the water exerts on the
sled.
162.2
N
(c) Find the magnitude (in N) of the…
A small object with mass 3.60 kg moves counterclockwise with constant angular speed 1.40 rad/s in a circle of radius 2.55 m centered at the origin. It starts at the point with position vector 2.551 m. Then it undergoes an angular displacement of 9.15 rad.
(a) What is its new position vector?
m
(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
---Select--- ✓ at
(c) What is its velocity?
m/s
(d) In what direction is it moving? (Give a negative angle.)
° from the +x direction.
(e) What is its acceleration?
m/s²
(f) What total force is exerted on the object?
N
Chapter 9 Solutions
21ST CENTURY ASTRONOMY >CUSTOM<
Ch. 9.1 - Prob. 9.1CYUCh. 9.2 - Prob. 9.2CYUCh. 9.3 - Prob. 9.3ACYUCh. 9.3 - Prob. 9.3BCYUCh. 9.4 - Prob. 9.4CYUCh. 9.5 - Prob. 9.5CYUCh. 9 - Prob. 1QPCh. 9 - Prob. 2QPCh. 9 - Prob. 3QPCh. 9 - Prob. 4QP
Ch. 9 - Prob. 5QPCh. 9 - Prob. 6QPCh. 9 - Prob. 7QPCh. 9 - Prob. 8QPCh. 9 - Prob. 9QPCh. 9 - Prob. 10QPCh. 9 - Prob. 11QPCh. 9 - Prob. 12QPCh. 9 - Prob. 13QPCh. 9 - Prob. 14QPCh. 9 - Prob. 15QPCh. 9 - Prob. 16QPCh. 9 - Prob. 17QPCh. 9 - Prob. 18QPCh. 9 - Prob. 19QPCh. 9 - Prob. 20QPCh. 9 - Prob. 21QPCh. 9 - Prob. 22QPCh. 9 - Prob. 23QPCh. 9 - Prob. 24QPCh. 9 - Prob. 25QPCh. 9 - Prob. 26QPCh. 9 - Prob. 27QPCh. 9 - Prob. 28QPCh. 9 - Prob. 29QPCh. 9 - Prob. 30QPCh. 9 - Prob. 31QPCh. 9 - Prob. 32QPCh. 9 - Prob. 33QPCh. 9 - Prob. 34QPCh. 9 - Prob. 35QPCh. 9 - Prob. 36QPCh. 9 - Prob. 37QPCh. 9 - Prob. 38QPCh. 9 - Prob. 39QPCh. 9 - Prob. 40QPCh. 9 - Prob. 41QPCh. 9 - Prob. 42QPCh. 9 - Prob. 43QPCh. 9 - Prob. 44QPCh. 9 - Prob. 45QP
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