University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 7, Problem 7.68P

You are designing an amusement park ride. A cart with two riders moves horizontally with speed υ = 6.00 m/s. You assume that the total mass of cart plus riders is 300 kg. The cart hits a light spring that is attached to a wall, momentarily comes to rest as the spring is compressed, and then regains speed as it moves back in the opposite direction. For the ride to be thrilling but safe, the maximum acceleration of the cart during this motion should be 3.00g. Ignore friction. What is (a) the required force constant of the spring, (b) the maximum distance the spring will be compressed?

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I need help with question 2.
An object of mass 12.9 kg enters a rough floor with speed of 10.1 m/s. The coefficient of friction between the floor and the object is 0.30 and the object moves 2.07 m before returning to a smooth surface (frictionless). What is the velocity of the object once it returns to the smooth surface?
A very massive cart A fitted with a compressible spring and initially moving to the right collides with a much less massive cart B which is initially at rest. Both carts roll with negligible friction and are constrained to move along a straight track. The graph shows the force that the spring exerts on cart B as a function of time during the T seconds that the spring acts on cart B. Cart B travels a distance D while the spring acts on it. At what instant does the spring store the greatest potential energy? At what instant does cart B have the greatest kinetic energy? Suppose that the experiment is repeated with a stiffer spring so that Fmax is doubled and T is halved. How would this affect the final speed of the cart and the distance D? Justify your answers. A 0000000 F. T %T ¾T тах

Chapter 7 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 7 - Is it possible for a friction force to increase...Ch. 7 - A woman bounces on a trampoline, going a little...Ch. 7 - Fractured Physics. People often call their...Ch. 7 - (a) A book is lifted upward a vertical distance of...Ch. 7 - (a) A block of wood is pushed against a spring,...Ch. 7 - A 1.0-kg stone and a 10.0-kg stone are released...Ch. 7 - Two objects with different masses are launched...Ch. 7 - When people are cold, they often rub their hands...Ch. 7 - A box slides down a ramp and work is done on the...Ch. 7 - In physical terms, explain why friction is a...Ch. 7 - Since only changes in potential energy are...Ch. 7 - Figure 7.22a shows the potential-energy function...Ch. 7 - Figure 7.22b shows the potential-energy function...Ch. 7 - For a system of two particles we often let the...Ch. 7 - Explain why the points x = A and x = A in Fig....Ch. 7 - A particle is in neutral equilibrium if the net...Ch. 7 - The net force on a particle of mass m has the...Ch. 7 - The potential-energy function for a force F is...Ch. 7 - In one day, a 75-kg mountain climber ascends from...Ch. 7 - BIO How High Can We Jump? The maximum height a...Ch. 7 - CP A 90.0-kg mail bag hangs by a vertical rope 3.5...Ch. 7 - BIO Food Calories. The food calorie, equal to 4186...Ch. 7 - A baseball is thrown from the roof of a...Ch. 7 - A crate of mass M starts from rest at the top of a...Ch. 7 - BIO Human Energy vs. Insect Energy. For its size,...Ch. 7 - Prob. 7.8ECh. 7 - Prob. 7.9ECh. 7 - A 25.0-kg child plays on a swing having support...Ch. 7 - You are testing a new amusement park roller...Ch. 7 - Tarzan and Jane. Tarzan, in one tree, sights Jane...Ch. 7 - CP A 10.0-kg microwave oven is pushed 6.00 m up...Ch. 7 - An ideal spring of negligible mass is 12.00 cm...Ch. 7 - A force of 520 N keeps a certain spring stretched...Ch. 7 - BIO Tendons. Tendons are strong elastic fibers...Ch. 7 - A spring stores potential energy U0 when it is...Ch. 7 - A slingshot will shoot a 10-g pebble 22.0 m...Ch. 7 - A spring of negligible mass has force constant k =...Ch. 7 - A 1.20-kg piece of cheese is placed on a vertical...Ch. 7 - A spring of negligible mass has force constant k =...Ch. 7 - (a) For the elevator of Example 7.9 (Section 7.2),...Ch. 7 - A 2.50-kg mass is pushed against a horizontal...Ch. 7 - A 2.50-kg block on a horizontal floor is attached...Ch. 7 - You are asked to design a spring that will give a...Ch. 7 - A 75-kg roofer climbs a vertical 7.0-m ladder to...Ch. 7 - A 0.60-kg book slides on a horizontal table. The...Ch. 7 - CALC In an experiment, one of the forces exerted...Ch. 7 - A 62.0-kg skier is moving at 6.50 m/s on a...Ch. 7 - Vector A is in the direction 34.0 clockwise from...Ch. 7 - CALC A force parallel to the .v-axis acts on a...Ch. 7 - CALC The potential energy of a pair of hydrogen...Ch. 7 - CALC A small block with mass 0.0400 kg is moving...Ch. 7 - CALC An object moving in the xy-plane is acted on...Ch. 7 - CALC The potential energy of two atoms in a...Ch. 7 - A marble moves along the x-axis. The...Ch. 7 - At a construction site, a 65.0-kg bucket of...Ch. 7 - Two blocks with different masses are attached to...Ch. 7 - A block with mass 0.50 kg is forced against a...Ch. 7 - A 2.00-kg block is pushed against a spring with...Ch. 7 - A 2.00-kg block is pushed against a spring with...Ch. 7 - CP Riding a Loop-the- Loop. A car in an amusement...Ch. 7 - A 2.0-kg piece of wood slides on a curved surface...Ch. 7 - Up and Down the Hill. A 28-kg rock approaches the...Ch. 7 - A 15.0-kg stone slides down a snow-covered hill...Ch. 7 - CP A 2.8-kg block slides over the smooth, icy hill...Ch. 7 - Bungee Jump. A bungee cord is 30.0 m long and,...Ch. 7 - You are designing a delivery ramp for crates...Ch. 7 - The Great Sandini is a 60-kg circus performer who...Ch. 7 - A 1500-kg rocket is to be launched with an initial...Ch. 7 - A system of two paint buckets connected by a...Ch. 7 - These results are from a computer simulation for a...Ch. 7 - CP A 0.300-kg potato is tied to a string with...Ch. 7 - A 60.0-kg skier starts from rest at the top of a...Ch. 7 - Prob. 7.55PCh. 7 - A ball is thrown upward with an initial velocity...Ch. 7 - Prob. 7.57PCh. 7 - A truck with mass m has a brake failure while...Ch. 7 - CALC A certain spring found not to obey Hookes law...Ch. 7 - CP A sled with rider having a combined mass of 125...Ch. 7 - CALC A conservative force F is in the +x-direction...Ch. 7 - A 3.00-kg block is connected to two ideal...Ch. 7 - A 0.150-kg block of ice is placed against a...Ch. 7 - If a fish is attached to a vertical spring and...Ch. 7 - CALC You are an industrial engineer with a...Ch. 7 - A basket of negligible weight hangs from a...Ch. 7 - CALC A 3.00-kg fish is attached to the lower end...Ch. 7 - You are designing an amusement park ride. A cart...Ch. 7 - A 0.500-kg block, attached to a spring with length...Ch. 7 - CP A small block with mass 0.0400 kg slides in a...Ch. 7 - CP A small block with mass 0.0500 kg slides in a...Ch. 7 - CP Pendulum. A small rock with mass 0.12 kg is...Ch. 7 - A wooden block with mass 1.50 kg is placed against...Ch. 7 - CALC A small object with mass m = 0.0900 kg moves...Ch. 7 - CALC A cutting tool under microprocessor control...Ch. 7 - A particle moves along the x-axis while acted on...Ch. 7 - Prob. 7.77PCh. 7 - DATA A long ramp made of cast iron is sloped at a...Ch. 7 - DATA A single conservative force F(x) acts on a...Ch. 7 - CALC A proton with mass m moves in one dimension....Ch. 7 - BIO THE DNA SPRING. A DNA molecule, with its...Ch. 7 - BIO THE DNA SPRING. A DNA molecule, with its...Ch. 7 - BIO THE DNA SPRING. A DNA molecule, with its...Ch. 7 - BIO THE DNA SPRING. A DNA molecule, with its...
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