University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 12, Problem 37P
To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.
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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 12 Solutions
University Physics Volume 1
Ch. 12 - Check Your Understanding Solve Example 12.1 by...Ch. 12 - Check your Understanding Explain which one of the...Ch. 12 - Check your Understanding Repeat Example 12.3 using...Ch. 12 - Check Your understanding Repeat ExampIe12.4...Ch. 12 - Check Your Understanding For the situation in...Ch. 12 - Check Your Understanding Solve the problem in...Ch. 12 - Check Your Understanding A 50-kg person stands 1.5...Ch. 12 - Check Your Understanding A 400.0-N sign hangs from...Ch. 12 - Check Your Understanding Find the compressive...Ch. 12 - Check Your Understanding A 2.0-m-long wire...
Ch. 12 - Check Your Understanding If the normal force...Ch. 12 - Check Your Understanding Explain why the concepts...Ch. 12 - What can you say about the velocity of a moving...Ch. 12 - Under what conditions can a rotating body be in...Ch. 12 - What three factors affect the torque created by a...Ch. 12 - Mechanics sometimes put a length of pipe over the...Ch. 12 - If there is only one external force (or toe)...Ch. 12 - If an object is in equilibrium there must be an...Ch. 12 - If an odd number of forces act on an object, the...Ch. 12 - A body moving in a circle with a constant seed is...Ch. 12 - What purpose is served by a long and flexible pole...Ch. 12 - Is it possible to rest a ladder against a rough...Ch. 12 - Show how a spring scale and a simple fulcrum can...Ch. 12 - A painter climbs a ladder. Is the ladder more...Ch. 12 - Note: Unless stated otherwise, the weights of the...Ch. 12 - When a glass bottle full of vinegar warms up, both...Ch. 12 - A thin wire strung between two nails in the wall...Ch. 12 - Review the relationship between stress and strain....Ch. 12 - What type of stress are you applying when you...Ch. 12 - Can compress stress be applied to a rubber band?Ch. 12 - Can Young’s modulus have a negative value? What...Ch. 12 - If a hypothetical material has a negative bulk...Ch. 12 - Discuss how you might measure the bulk modulus of...Ch. 12 - Note: Unless stated othen.ise the weights of the...Ch. 12 - Steel rods are commonly placed in concrete before...Ch. 12 - When tightening a bolt, you push perpendicularly...Ch. 12 - When opening do you push on it perpendicularly...Ch. 12 - Find the magnitude of the tension in each...Ch. 12 - What force must be applied at point P to keep the...Ch. 12 - Is it possible to apply a force at P to keep in...Ch. 12 - Two children push on opposite of a door during...Ch. 12 - A small 1000-kg SUV has a wheel base of 3.0 m. If...Ch. 12 - The uniform seesaw is balanced at its center of...Ch. 12 - A uniform plank rests on a level surface as shown...Ch. 12 - The uniform seesaw shown below is balanced on a...Ch. 12 - In order to get his car out of the mud, a man ties...Ch. 12 - A uniform 40.0-kg scaffold of length 60 m is...Ch. 12 - When the structure shown below is supported at...Ch. 12 - To get up on the roof, a person (mass 70.0 kg)...Ch. 12 - A uniform horizontal strut weighs 400.0 N. One end...Ch. 12 - The forearm shown below is positioned at an angle ...Ch. 12 - The uniform boom shown below weighs 3000N . It is...Ch. 12 - The uniform boom shown below weighs 700N , and the...Ch. 12 - A 12.0m boom, of a crane lifting a 3000kg load is...Ch. 12 - A uniform trapdoor shown below is 1.0m by 1.5m and...Ch. 12 - A 90kg man walks on a sawhorse, as shown below....Ch. 12 - The “lead” in pencils is a graphite composition...Ch. 12 - TV broadcast antennas are the tallest artificial...Ch. 12 - By how much does a 65.0kg mountain climber stretch...Ch. 12 - When water freezes, its volume increases by 9.05 ....Ch. 12 - A farmer making grape juice fills a glass bottle...Ch. 12 - A disk between vertebrae in the spine is subjected...Ch. 12 - A vertebrae is subjected to a shearing force of...Ch. 12 - Calculate the force a piano tuner applies to...Ch. 12 - A 20.0m -tall hollow aluminium flagpole is...Ch. 12 - A copper wire of diameter 1.0cm stretches 1.0 when...Ch. 12 - As an oil well is drilled, each new section of...Ch. 12 - Alarge uniform cylindrical steel rod of density...Ch. 12 - A 90-kg mountain climber bangs from a nylon rope...Ch. 12 - A suspender rod of a suspension bridge is 25.0 m...Ch. 12 - A copper wire is 1.0 m long and it diameter is 1.0...Ch. 12 - A 100-N weight is attached to a free end of a...Ch. 12 - The bulk modulus of a material is 1.01011N/m2 ....Ch. 12 - Normal forces of magnitude 1.0106N are applied...Ch. 12 - During a walk on a rope, a tightrope walker...Ch. 12 - When using a pencil eraser, you exert a vertical...Ch. 12 - Normal forces are applied uniformly over the...Ch. 12 - A uniform rope of cross-sectional area 0.50cm2...Ch. 12 - One end of a vertical metallic wire of length 2.0m...Ch. 12 - An aluminium (=2.7g/cm3) wire is suspended from...Ch. 12 - The coefficient of static friction between the...Ch. 12 - A pencil rests against a corner, as shown below....Ch. 12 - A uniform 4.0m plank weighing 200.0N rests against...Ch. 12 - A 40kg boy jumps from a height of 3.0m , lands on...Ch. 12 - Two thin rods, one made of steel and the other of...Ch. 12 - Two rods, one made of copper and the other of...Ch. 12 - A horizontal force F is applied to a uniform...Ch. 12 - When a motor is set on a pivoted mount seen below,...Ch. 12 - Two wheels A and B with weights w and 2w ,...Ch. 12 - Weights are gradually added to a pan until a wheel...Ch. 12 - In order to lift a shovelful of dirt, a gardener...Ch. 12 - A uniform rod of length 2R and mass M is attached...Ch. 12 - The pole shown below is at a 90.0 bend in a power...
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