Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Question
Chapter 4, Problem 64P
To determine
The time elapsed in detecting the sound.
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SARET CRKS AUTOWAY
12. A stone is dropped from the top of a cliff. It is seen to hit the ground below
after 3.55 s. How high is the cliff?
13. A ball is dropped from rest at the top of a building that is 320 m tall. Assuming
no air resistance, what is the speed of the ball just before it strikes the ground?
14. Estimate (a) how long it took King Kong to fall straight down from the top
of the Empire State Building (280m high), and (b) his velocity just before
"landing".
Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
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Chapter 4 Solutions
Matter and Interactions
Ch. 4.4 - Prob. 1CPCh. 4.5 - If a chain of 20 identical short springs linked...Ch. 4.5 - Nine identical springs are placed side by side (in...Ch. 4.5 - The 2 m copper wire with square cross section of 1...Ch. 4.6 - You hang a 5 kg mass from the end of a rod that is...Ch. 4.10 - At a certain instant the momentum of an object is...Ch. 4.11 - You have a rubber band whose relaxed length is 8.5...Ch. 4.13 - A certain metal with atomic mass 2 × 10−25 kg has...Ch. 4.14 - Calculate the buoyant force in air on a kilogram...Ch. 4.14 - Do the calculation and verify that the height of a...
Ch. 4.17 - Prob. 12CPCh. 4 - Prob. 1QCh. 4 - Approximately what is the radius of a copper atom?...Ch. 4 - (a) A climber whose mass is 55 kg hangs motionless...Ch. 4 - You hang a 10 kg mass from a copper wire, and the...Ch. 4 - You hang a mass M from a spring, which stretches...Ch. 4 - A spring has stiffness ks. You cut the spring in...Ch. 4 - Lead is much softer than aluminum, and can be more...Ch. 4 - Two wires are made of the same kind of metal. Wire...Ch. 4 - Two wires with equal lengths are made of pure...Ch. 4 - Suppose you attempt to pick up a very heavy...Ch. 4 - (a) In outer space, a rod is pushed to the right...Ch. 4 - Bob is pushing a box across the floor at a...Ch. 4 - In a spring–mass oscillator, when is the magnitude...Ch. 4 - For a vertical spring–mass oscillator that is...Ch. 4 - Prob. 15QCh. 4 - How should you start the system going at t = 0 in...Ch. 4 - Describe two examples of oscillating systems that...Ch. 4 - Two rods are both made of pure titanium. The...Ch. 4 - A particular spring–mass oscillator oscillates...Ch. 4 - Uranium-238 (U238) has three more neutrons than...Ch. 4 - Prob. 21PCh. 4 - A block of one mole of a certain material whose...Ch. 4 - The diameter of a copper atom is approximately...Ch. 4 - Prob. 24PCh. 4 - If a chain of 50 identical short springs linked...Ch. 4 - A certain spring has stiffness 190 N/m. The spring...Ch. 4 - Forty-five identical springs are placed side by...Ch. 4 - A certain spring has stiffness 140 N/m. The spring...Ch. 4 - Five identical springs, each with stiffness 390...Ch. 4 - A hanging titanium wire with diameter 2 mm (2 ×...Ch. 4 - Prob. 31PCh. 4 - One mole of tungsten (6.02 × 1023 atoms) has a...Ch. 4 - A hanging iron wire with diameter 0.08 cm is...Ch. 4 - Steel is very stiff, and Young’s modulus for steel...Ch. 4 - Prob. 35PCh. 4 - Young’s modulus for aluminum is 6.2 × 1010 N/m2....Ch. 4 - Suppose that we hang a heavy ball with a mass of...Ch. 4 - You hang a heavy ball with a mass of 14 kg from a...Ch. 4 - A hanging wire made of an alloy of iron with...Ch. 4 - A certain coiled wire with uneven windings has the...Ch. 4 - Two blocks of mass m1 and m3, connected by a rod...Ch. 4 - Prob. 42PCh. 4 - A 3 kg block measures 5 cm by 10 cm by 20 cm. When...Ch. 4 - A 15 kg box sits on a table. The coefficient of...Ch. 4 - A 20 kg box is being pushed across the floor by a...Ch. 4 - You drag a block across a table while a friend...Ch. 4 - For this problem you will need measurements of the...Ch. 4 - It is sometimes claimed that friction forces...Ch. 4 - A chain of length L and mass M is suspended...Ch. 4 - A ball whose mass is 1.4 kg is suspended from a...Ch. 4 - Prob. 51PCh. 4 - A bouncing ball is an example of an anharmonic...Ch. 4 - Here on Earth you hang a mass from a vertical...Ch. 4 - In the approximation that the Earth is a sphere of...Ch. 4 - A spring suspended vertically is 18 cm long. When...Ch. 4 - It was found that a 20 g mass hanging from a...Ch. 4 - A vertical mass–spring oscillator has an amplitude...Ch. 4 - In Problem P36 you can find the effective spring...Ch. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Two metal rods are made of different elements. The...Ch. 4 - You hang a heavy ball with a mass of 41 kg from a...Ch. 4 - Prob. 64PCh. 4 - It is hard to imagine that there can be enough air...Ch. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Here are two examples of floating objects: (a) A...
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