EBK MATTER+INTERACTIONS:COMPLETE
4th Edition
ISBN: 9781119080817
Author: CHABAY
Publisher: WILEY CONS
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Question
Chapter 4, Problem 61P
(a)
To determine
The tangential momentum of the small mass.
(b)
To determine
The tangential momentum for small angle.
(c)
To determine
The time period of the simple pendulum by comparing the above equation with the equation of motion of spring-mass oscillator.
(d)
To determine
The dependence of time period on the length of the pendulum.
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For either the time for one full cycle is 0.040 s; this is the period.
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 4 Solutions
EBK MATTER+INTERACTIONS:COMPLETE
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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