EP PHYSICS -MOD.MASTERING (18W)
5th Edition
ISBN: 9780136782490
Author: Walker
Publisher: PEARSON CO
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Chapter 6.2, Problem 2EYU
When a mass is attached to a certain spring, the spring stretches by the amount x. Suppose we now connect two of these springs together in series, as shown in Figure 6-16. If we attach the same mass to this system, is the amount of stretch greater than, less than, or equal to x? Explain.
Figure 6-15 Enhance Your Understanding 2
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Problem 1:
A) Energy Methods Look at the below system. Using the conservation of energy method, solve for the governing equation of motion for the system. Put a box around your final answer. Also, put a box around your equations for the potential and kinetic energy of the system. Assume the system’s springs are initially unstretched (i.e., assume that there is no gravity until t = 0 [s]).
B) Numerical Methods Using ode45, your answer to problem 1, and the following initial conditions and system parameters, plot the response of the above system in MATLAB for at least 5 complete oscillations, and no more than 20 oscillations. m = 72 (if your last 2 digits are 00, than assume m = 1) [kg] k1 = 673 [N/m] k2 = 880 digits of your student ID [N/m] g = 9.81 [m/s2] x0 = 0 [m] v0 = 0 [m/s]
Constants | Periodic Table
Learning Goal:
To apply the law of conservation of energy to an object launched upward in the gravitational field
of the earth.
First, let us consider an object launched vertically upward with an initial speed v. Neglect air resistance.
In the absence of nonconservative forces such as friction and air resistance, the total mechanical
energy in a closed system is conserved. This is one particular case of the law of conservation of
energy.
Part A
In this problem, you will apply the law of conservation of energy to different objects launched from
the earth. The energy transformations that take place involve the object's kinetic energy
K = (1/2)mv and its gravitational potential energy U=mgh. The law of conservation of
energy for such cases implies that the sum of the object's kinetic energy and potential energy does
not change with time. This idea can be expressed by the equation
As the projectile goes upward, what energy changes take place?
O Both kinetic and…
Constants | Periodic Table
Two children are trying to shoot a marble of mass m into a small box using a spring-loaded gun that is
fixed on a table and shoots horizontally from the edge of the table. (Figure 1)The edge of the table is a
height H above the top of the box (the height of which is negligibly small), and the center of the box is a
distance d from the edge of the table. The spring has a spring constant k. The first child compresses the
spring a distance z, and finds that the marble falls short of its target by a horizontal distance di2.
Part A
By what distance, z2, should the second child compress the spring so that the marble lands in the middle of the box? (Assume that height of the box is negligible, so that there is no chance that the marble wilIl hit the side of the box before it lands in the
bottom.)
Express the distance in terms of m, k, g, H. and d.
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Chapter 6 Solutions
EP PHYSICS -MOD.MASTERING (18W)
Ch. 6.1 - A block rests on a rough, horizontal surface, as...Ch. 6.2 - When a mass is attached to a certain spring, the...Ch. 6.3 - Suppose the tension in the clothesline in Quick...Ch. 6.4 - Three boxes are connected by ropes and pulled...Ch. 6.5 - A system consists of an object with mass m and...Ch. 6 - A clothesline always sags a little, even if...Ch. 6 - In the Jurassic Park sequel, The Lost World, a man...Ch. 6 - When a traffic accident is investigated, it is...Ch. 6 - In a car with rear-wheel drive, the maximum...Ch. 6 - A train typically requires a much greater distance...
Ch. 6 - Give some everyday examples of situations in which...Ch. 6 - At the local farm, you buy a flat of strawberries...Ch. 6 - It is possible to spin a bucket of water in a...Ch. 6 - Water sprays off a rapidly turning bicycle wheel....Ch. 6 - Can an object be in translational equilibrium if...Ch. 6 - Prob. 11CQCh. 6 - The gravitational attraction of the Earth is only...Ch. 6 - A popular carnival ride has passengers stand with...Ch. 6 - Referring to Question 13, after the cylinder...Ch. 6 - Your car is stuck on an icy side street. Some...Ch. 6 - The parking brake on a car causes the rear wheels...Ch. 6 - BIO The foot of your average gecko is covered with...Ch. 6 - Discuss the physics involved in the spin cycle of...Ch. 6 - The gas pedal and the brake pedal are capable of...Ch. 6 - In the movie 2001: A Space Odyssey, a rotating...Ch. 6 - When rounding a corner on a bicycle or a...Ch. 6 - Predict/Explain You push two identical bricks...Ch. 6 - Predict/Explain Two drivers traveling side-by-side...Ch. 6 - A 1.8-kg block slides on a horizontal surface with...Ch. 6 - A child goes down a playground slide with an...Ch. 6 - What is the minimum horizontal force F needed to...Ch. 6 - What is the minimum horizontal force F needed to...Ch. 6 - The three identical boxes shown in Figure 6-33...Ch. 6 - To move a large crate across a rough floor, you...Ch. 6 - Predict/Calculate A 37-kg crate is placed on an...Ch. 6 - Coffee To Go A person places a cup of coffee on...Ch. 6 - A mug rests on an inclined surface, as shown in...Ch. 6 - Predict/Calculate Force Times Distance At the...Ch. 6 - Prob. 13PCECh. 6 - A certain spring has a force constant k. (a) If...Ch. 6 - A certain spring has a force constant k. (a) If...Ch. 6 - Pulling up on a rope you lift a 7.27-kg bucket of...Ch. 6 - When a 9.09-kg mass is placed on top of a vertical...Ch. 6 - Predict/Calculate A backpack full of books...Ch. 6 - Two springs, with force constants k1= 150N/m and...Ch. 6 - Predict/Calculate Illinois Jones is being pulled...Ch. 6 - Predict/Calculate A spring with a force constant...Ch. 6 - A spring is suspended vertically from the ceiling...Ch. 6 - Mechanical Advantage The pulley system shown in...Ch. 6 - Pulling the string on a bow back with a force of...Ch. 6 - In Figure 6-42 we see two blocks connected by a...Ch. 6 - BIO Traction After a skiing accident, your leg is...Ch. 6 - Two blocks are connected by a string, as shown in...Ch. 6 - Predict/Calculate The system shown in Figure 6-45...Ch. 6 - Predict/Explain (a) Referring to the hanging...Ch. 6 - BIO Spiderweb Forces An orb-weaver spider sits in...Ch. 6 - A 0.15-kg ball is placed in a shallow wedge with...Ch. 6 - Predict/Calculate A picture hangs on the wall...Ch. 6 - Predict/Calculate You want to nail a 1.6-kg board...Ch. 6 - Prob. 34PCECh. 6 - In Example 6-13 (Connected Blocks), suppose m1 and...Ch. 6 - Predict/Explain Suppose m1 and m2 in Example 6-14...Ch. 6 - Three boxes of masses m, 2m, and 3m are connected...Ch. 6 - Find the acceleration of the masses shown in...Ch. 6 - Predict/Calculate (a) If the hanging mass m3 in...Ch. 6 - Two blocks are connected by a string, as shown in...Ch. 6 - Predict/Calculate A 3 50-kg block on a smooth...Ch. 6 - Predict/Calculate A 7.7-N force pulls horizontally...Ch. 6 - Predict/Calculate (a) Find the magnitude of the...Ch. 6 - A car drives with constant speed on an elliptical...Ch. 6 - A puck attached to a string undergoes circular...Ch. 6 - BIO Bubble Net Fishing Humpback whales sometimes...Ch. 6 - When you take your 1900-kg car out for a spin, you...Ch. 6 - BIO A Human Centrifuge To test the effects of high...Ch. 6 - A car goes around a curve on a road that is banked...Ch. 6 - Clearview Screen Large ships often have circular...Ch. 6 - Predict/Calculate (a) As you ride on a Ferris...Ch. 6 - Driving in your car with a constant speed of v =...Ch. 6 - CE If you weigh yourself on a bathroom scale at...Ch. 6 - CE BIO Maneuvering a Jet Humans lose consciousness...Ch. 6 - CE BIO Gravitropism As plants grow, they tend to...Ch. 6 - BIO Human-Powered Centrifuge One of the hazards of...Ch. 6 - Predict/Calculate A 9 3-kg box slides across the...Ch. 6 - A child goes down a playground slide that is...Ch. 6 - Spin-Dry Dragonflies Some dragonflies splash down...Ch. 6 - The da Vinci Code Leonardo da Vinci (1452-1519) is...Ch. 6 - A 4 5-kg sled is pulled with constant speed across...Ch. 6 - A 0 045-kg golf ball hangs by a string from the...Ch. 6 - A physics textbook weighing 22 N rests on a desk....Ch. 6 - Predict/Calculate The blocks shown in Figure 6-64...Ch. 6 - A Conical Pendulum A 0 075-kg toy airplane is tied...Ch. 6 - A tugboat tows a barge at constant speed with a...Ch. 6 - Predict/Calculate Two blocks, stacked one on top...Ch. 6 - Predict/Calculate In a daring rescue by helicopter...Ch. 6 - Predict/Calculate A light spring with a fore...Ch. 6 - Predict/Calculate The blocks in Figure 6-69 have...Ch. 6 - Predict/Calculate Playing a Violin The tension in...Ch. 6 - Predict/Calculate A 9 8-kg monkey hangs from a...Ch. 6 - As your plane circles an airport, it moves in a...Ch. 6 - At a playground, a 22-kg child sits on a spinning...Ch. 6 - A 2.0-kg box rests on a plank that is inclined at...Ch. 6 - A wood block of mass m rests on a larger wood...Ch. 6 - A hockey puck of mass m is attached to a string...Ch. 6 - Predict/Calculate A popular ride at amusement...Ch. 6 - A Conveyor Belt A box is placed on a conveyor belt...Ch. 6 - As part of a circus act, a person drives a...Ch. 6 - On the straight-line segment II in Figure 6-76 (b)...Ch. 6 - 82. Rank the straight segments I, II, and III in...Ch. 6 - In use on a typical human nose, the end-to-end...Ch. 6 - Predict/Calculate Referring to Example 6-3 Suppose...Ch. 6 - Predict/Calculate Referring to Example 6-3 The...Ch. 6 - Referring to Example 6-13 Suppose that the mass on...Ch. 6 - Referring to Example 6-15 (a) At what speed will...
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