An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 3, Problem 31SA
When a high diver in a swimming event springs from the diving board and “tucks in,” a rapid spin results. Why?
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8.114 CALC A Variable-Mass Raindrop. In a rocket-propul-
sion problem the mass is variable. Another such problem is a rain-
drop falling through a cloud of small water droplets. Some of these
small droplets adhere to the raindrop, thereby increasing its mass
as it falls. The force on the raindrop is
dp
dv
dm
Fext
=
+
dt
dt
dt
=
Suppose the mass of the raindrop depends on the distance x that it
has fallen. Then m kx, where k is a constant, and dm/dt = kv.
This gives, since Fext
=
mg,
dv
mg = m
+ v(kv)
dt
Or, dividing by k,
dv
xgx
+ v²
dt
This is a differential equation that has a solution of the form
v = at, where a is the acceleration and is constant. Take the initial
velocity of the raindrop to be zero. (a) Using the proposed solution
for v, find the acceleration a. (b) Find the distance the raindrop has
fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of
the raindrop at t = 3.00 s. (For many more intriguing aspects of
this problem, see K. S. Krane, American Journal of…
8.13 A 2.00-kg stone is sliding Figure E8.13
F (kN)
to the right on a frictionless hori-
zontal surface at 5.00 m/s when
it is suddenly struck by an object
that exerts a large horizontal
force on it for a short period of 2.50
time. The graph in Fig. E8.13
shows the magnitude of this force
as a function of time. (a) What
impulse does this force exert on
t (ms)
15.0
16.0
the stone? (b) Just after the force stops acting, find the magnitude
and direction of the stone's velocity if the force acts (i) to the right
or (ii) to the left.
Please calculate the expectation value for E and the uncertainty in E for this wavefunction trapped in a simple harmonic oscillator potential
Chapter 3 Solutions
An Introduction to Physical Science
Ch. 3.1 - Does a force always produce motion?Ch. 3.1 - What is the condition for motion when more than...Ch. 3.2 - If you were moving with a constant velocity in...Ch. 3.2 - How can the inertias of objects be compared?Ch. 3.3 - How are force and motion related?Ch. 3.3 - Which is generally greater, static friction or...Ch. 3.3 - Prob. 3.1CECh. 3.3 - On the surface of Mars, the acceleration due to...Ch. 3.4 - Whats the difference between an action and a...Ch. 3.4 - Prob. 2PQ
Ch. 3.5 - What keeps the Moon in orbit around the Earth?Ch. 3.5 - Prob. 2PQCh. 3.5 - Prob. 3.3CECh. 3.6 - Prob. 1PQCh. 3.6 - Prob. 2PQCh. 3.7 - When is the linear momentum of a system conserved?Ch. 3.7 - Prob. 2PQCh. 3.7 - Suppose you were not given the values of the...Ch. 3.7 - Prob. 3.5CECh. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - Prob. FMCh. 3 - Prob. GMCh. 3 - Prob. HMCh. 3 - Prob. IMCh. 3 - Prob. JMCh. 3 - Prob. KMCh. 3 - Prob. LMCh. 3 - Prob. MMCh. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - Prob. PMCh. 3 - Prob. QMCh. 3 - KEY TERMS 1. force (3.1) 2. unbalanced, or net,...Ch. 3 - Prob. SMCh. 3 - A net force ___. (3.1) (a) can produce motion (b)...Ch. 3 - What is a possible state of an object in the...Ch. 3 - What term refers to the tendency of an object to...Ch. 3 - A net force can produce ___. (3.3) (a) an...Ch. 3 - According to Newtons second law of motion, when an...Ch. 3 - Mass is related to an objects ___. (3.3) (a)...Ch. 3 - Prob. 7MCCh. 3 - Which is true of the force pair of Newtons third...Ch. 3 - Which is true about the acceleration due to...Ch. 3 - What is true about the constant G? (3.5) (a) It is...Ch. 3 - A childs toy floats in a swimming pool. The...Ch. 3 - If a submerged object displaces an amount of...Ch. 3 - If a submerged object displaces a volume of liquid...Ch. 3 - A change in linear momentum requires which of the...Ch. 3 - Angular momentum is conserved in the absence of...Ch. 3 - A force is a quantity that is ___ of producing...Ch. 3 - Forces are ___ quantities. (3.1)Ch. 3 - Prob. 3FIBCh. 3 - Prob. 4FIBCh. 3 - The inertia of an object is related to its ___....Ch. 3 - Prob. 6FIBCh. 3 - Prob. 7FIBCh. 3 - Prob. 8FIBCh. 3 - Prob. 9FIBCh. 3 - Prob. 10FIBCh. 3 - Prob. 11FIBCh. 3 - Milk is ___ dense than the cream that floats on...Ch. 3 - The total linear momentum is not conserved if...Ch. 3 - Prob. 14FIBCh. 3 - Prob. 1SACh. 3 - Prob. 2SACh. 3 - Consider a child holding a helium balloon in a...Ch. 3 - An old party trick is to pull a tablecloth out...Ch. 3 - Prob. 5SACh. 3 - When a paper towel is torn from a roll on a rack,...Ch. 3 - It is said that Newtons first law can be derived...Ch. 3 - Can an object be at rest if forces are being...Ch. 3 - Prob. 9SACh. 3 - What is the unbalanced force acting on a moving...Ch. 3 - The coefficient of kinetic friction is generally...Ch. 3 - A 10-lb rock and a 1-lb rock are dropped...Ch. 3 - When a rocket blasts off, is it the fiery exhaust...Ch. 3 - There is an equal and opposite reaction for every...Ch. 3 - When a person pushes on a wall, the wall pushes on...Ch. 3 - Two masses are attached to a spring scale as shown...Ch. 3 - Prob. 17SACh. 3 - The gravitational force is said to have an...Ch. 3 - Explain why the acceleration due to gravity on the...Ch. 3 - An astronaut has a mass of 70 kg when measured on...Ch. 3 - Prob. 21SACh. 3 - In Chapter 1.6 in the discussion of the...Ch. 3 - What is a major consideration in constructing a...Ch. 3 - Prob. 24SACh. 3 - Prob. 25SACh. 3 - Is it easier for a large person to float in a lake...Ch. 3 - Prob. 27SACh. 3 - Prob. 28SACh. 3 - Explain how the conservation of linear momentum...Ch. 3 - Prob. 30SACh. 3 - When a high diver in a swimming event springs from...Ch. 3 - Visualize the connections for the descriptions of...Ch. 3 - Astronauts walking on the Moon are seen bounding...Ch. 3 - A person places a bathroom scale in the center of...Ch. 3 - Prob. 3AYKCh. 3 - Prob. 4AYKCh. 3 - In a washing machine, water is extracted from...Ch. 3 - When you push on a heavy swinging door to go into...Ch. 3 - When unable to loosen the lug nut on an automobile...Ch. 3 - What is the net force of a 5.0-N force and an...Ch. 3 - A horizontal force of 250 N is applied to a...Ch. 3 - Determine the net force necessary to give an...Ch. 3 - A force of 2.1 N is exerted on a 7.0-g rifle...Ch. 3 - A 1000-kg automobile is pulled by a horizontal tow...Ch. 3 - A 6.0-N net force is applied to a 15-kg object....Ch. 3 - What is the weight in newtons of a 6.0-kg package...Ch. 3 - What is the force in newtons acting on a 4.0-kg...Ch. 3 - (a) What is the weight in newtons of a 120-lb...Ch. 3 - A 75-kg person is standing on a scale in an...Ch. 3 - Two 3.0-kg physical science textbooks on a...Ch. 3 - (a) What is the force of gravity between two...Ch. 3 - How would the force of gravity between two masses...Ch. 3 - The separation distance between two 1.0-kg masses...Ch. 3 - (a) Determine the weight on the Moon of a person...Ch. 3 - Suppose an astronaut has landed on Mars. Fully...Ch. 3 - A childs cubic play block has a mass of 120 g and...Ch. 3 - A ball with a radius of 8.00 cm and a mass of 600...Ch. 3 - Calculate the linear momentum of a pickup truck...Ch. 3 - A small car with a mass of 900 kg travels...Ch. 3 - Two ice skaters stand together as illustrated in ...Ch. 3 - For the couple in Fig. 3.28, suppose you were told...Ch. 3 - A comet goes around the Sun in an elliptical...Ch. 3 - Taking the density of air to be 1.29 kg/m3, what...
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