University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 6.39E
A 6.0-kg box moving at 3.0 m/s on a horizontal, frictionless surface runs into a light spring of force constant 75 N/cm. Use the work-energy theorem to find the maximum compression of the spring.
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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 6 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 6.1 - An electron moves in a straight line toward the...Ch. 6.2 - Rank the following bodies in order of their...Ch. 6.3 - In Example 5.20 (Section 5.4) we examined a...Ch. 6.4 - The air surrounding an airplane in flight exerts a...Ch. 6 - The sign of many physical quantities depends on...Ch. 6 - An elevator is hoisted by its cables at constant...Ch. 6 - A rope tied to a body is pulled, causing the body...Ch. 6 - If it takes total work W to give an object a speed...Ch. 6 - If there is a net nonzero force on a moving...Ch. 6 - In Example 5.5 (Section 5.1), how does the work...
Ch. 6 - In the conical pendulum of Example 5.20 (Section...Ch. 6 - For the cases shown in Fig. Q6.8, the object is...Ch. 6 - A force F is in the x-direction and has a...Ch. 6 - Does a cars kinetic energy change more when the...Ch. 6 - A falling brick has a mass of 1.5 kg and is moving...Ch. 6 - Can the total work done on an object during a...Ch. 6 - A net force acts on an object and accelerates it...Ch. 6 - A truck speeding down the highway has a lot of...Ch. 6 - You are holding a briefcase by the handle, with...Ch. 6 - When a book slides along a tabletop. the force of...Ch. 6 - Time yourself while running up a flight of steps,...Ch. 6 - Fractured Physics. Many terms from physics are...Ch. 6 - An advertisement for a portable electrical...Ch. 6 - A car speeds up while the engine delivers constant...Ch. 6 - Consider a graph of instantaneous power versus...Ch. 6 - A nonzero net force acts on an object. Is it...Ch. 6 - When a certain force is applied to an ideal...Ch. 6 - If work W is required to stretch a spring a...Ch. 6 - You push your physics book 1.50 m along a...Ch. 6 - Using a cable with a tension of 1350 N, a tow...Ch. 6 - A factory worker pushes a 30.0-kg crate a distance...Ch. 6 - Suppose the worker in Exercise 6.3 pushes downward...Ch. 6 - A 75.0-kg painter climbs a ladder that is 2.75 m...Ch. 6 - Two tugboats pull a disabled supertanker. Each tug...Ch. 6 - Two blocks are connected by a very light string...Ch. 6 - A loaded grocery cart is rolling across a parking...Ch. 6 - A 0.800-kg ball is tied to the end of a string...Ch. 6 - A 12.0-kg package in a mail-sorting room slides...Ch. 6 - A 128.0-N carton is pulled up a frictionless...Ch. 6 - A boxed 10.0-kg computer monitor is drugged by...Ch. 6 - A large crate sits on the floor of a warehouse....Ch. 6 - You apply a constant force F=(68.0N)i+(36.0N)j to...Ch. 6 - You are holding a briefcase by the handle, with...Ch. 6 - When a book slides along a tabletop, the force of...Ch. 6 - Time yourself while running up a flight of steps,...Ch. 6 - Fractured Physics. Many terms from physics are...Ch. 6 - Meteor Crater. About 50,000 years ago, a meteor...Ch. 6 - A 4.80-kg watermelon is dropped from rest from the...Ch. 6 - Use the work-energy theorem to solve each of these...Ch. 6 - Use the work-energy theorem to solve each of these...Ch. 6 - You are a member of an Alpine Rescue Team. You...Ch. 6 - You throw a 3.00-N rock vertically into the air...Ch. 6 - A sled with mass 12.00 kg moves in a straight line...Ch. 6 - A mass m slides down a smooth inclined plane from...Ch. 6 - A 12-pack of Omni-Cola (mass 4.30 kg) is initially...Ch. 6 - A soccer ball with mass 0.420 kg is initially...Ch. 6 - A little red wagon with mass 7.00 kg moves in a...Ch. 6 - A block of ice with mass 2.00 kg slides 1.35 m...Ch. 6 - Stopping Distance. A car is traveling on a level...Ch. 6 - A 30.0-kg crate is initially moving with a...Ch. 6 - BIO Heart Repair. A surgeon is using material from...Ch. 6 - To stretch a spring 3.00 cm from its unstretched...Ch. 6 - Three identical 8.50-kg masses are hung by three...Ch. 6 - A child applies a force F parallel to the x-axis...Ch. 6 - Suppose the sled in Exercise 6.36 is initially at...Ch. 6 - A spring of force constant 300.0 N/m and...Ch. 6 - A 6.0-kg box moving at 3.0 m/s on a horizontal,...Ch. 6 - Leg Presses. As part of your daily workout, you...Ch. 6 - (a) In Example 6.7 (Section 6.3) it was calculated...Ch. 6 - A 4.00-kg block of ice is placed against a...Ch. 6 - A force F is applied to a 2.0-kg, radio-controlled...Ch. 6 - Suppose the 2.0-kg model car in Exercise 6.43 is...Ch. 6 - Prob. 6.45ECh. 6 - Half or a Spring. (a) Suppose you cut a massless...Ch. 6 - A small glider is placed against a compressed...Ch. 6 - An ingenious bricklayer builds a device for...Ch. 6 - CALC A force in the +x-direction with magnitude...Ch. 6 - A crate on a motorized cart starts from rest and...Ch. 6 - How many joules of energy does a 100-watt light...Ch. 6 - BIO Should You Walk or Run? It is 5.0 km from your...Ch. 6 - Magnetar. Oil December 27, 2004, astronomers...Ch. 6 - A 20.0-kg rock is sliding on a rough, horizontal...Ch. 6 - A tandem (two-person) bicycle team must overcome a...Ch. 6 - When its 75-kW (100-hp) engine is generating full...Ch. 6 - Working Like a Horse. Your job is to lift 30-kg...Ch. 6 - An elevator has mass 600 kg, not including...Ch. 6 - A ski tow operates on a 15.0 slope of length 300...Ch. 6 - You are applying a constant horizontal force F =...Ch. 6 - BIO While hovering, a typical flying insect...Ch. 6 - CALC A balky cow is leaving the barn as you try...Ch. 6 - A luggage handler pulls a 20.0-kg suitcase up a...Ch. 6 - Chin-ups. While doing a chin-up, a man lifts his...Ch. 6 - Consider the blocks in Exercise 6.7 as they move...Ch. 6 - A 5.00-kg package slides 2.80 m down a long ramp...Ch. 6 - CP BIO Whiplash Injuries. When a car is hit from...Ch. 6 - CALC A net force along the x-axis that has...Ch. 6 - CALC Varying Coefficient of Friction. A box is...Ch. 6 - CALC Consider a spring that does not obey Hookes...Ch. 6 - CP A small block with Figure P6.71 a mass of...Ch. 6 - CALC Proton Bombardment. A proton with mass 1.67 ...Ch. 6 - You are asked to design spring bumpers for the...Ch. 6 - You and your bicycle have combined mass 80.0 kg....Ch. 6 - A 2.50-kg textbook is forced against a horizontal...Ch. 6 - The spring of a spring gun has force constant k =...Ch. 6 - One end of a horizontal spring with force constant...Ch. 6 - One end of a horizontal spring with force constant...Ch. 6 - A 5.00-kg block is moving at 0 = 6.00 m/s along a...Ch. 6 - A physics professor is pushed up a ramp inclined...Ch. 6 - Consider the system shown in Fig. P6.81. The rope...Ch. 6 - Consider the system shown in Fig. P6.81. The rope...Ch. 6 - On an essentially frictionless, horizontal ice...Ch. 6 - BIO All birds, independent of their size, must...Ch. 6 - A pump is required to lift 800 kg of water (about...Ch. 6 - The Grand Coulee Dam is 1270 m long and 170 m...Ch. 6 - A physics student spends part of her day walking...Ch. 6 - CALC An object has several forces acting on it....Ch. 6 - BIO Power of the Human Heart. The human heart is a...Ch. 6 - DATA Figure P6.90 shows the results of measuring...Ch. 6 - DATA In a physics lab experiment, one end of a...Ch. 6 - DATA For a physics lab experiment, four classmates...Ch. 6 - CALC A Spring with Mass. We usually ignore the...Ch. 6 - CALC An airplane in flight is subject to an air...Ch. 6 - BIO ENERGY OF LOCOMOTION. On flat ground, a 70-kg...Ch. 6 - BIO ENERGY OF LOCOMOTION. On flat ground, a 70-kg...Ch. 6 - BIO ENERGY OF LOCOMOTION. On flat ground, a 70-kg...
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