College Physics for AP Courses
College Physics for AP Courses
1st Edition
ISBN: 9781630181871
Author: OpenStax, Ima Lyubkinskaya, Gregg Wolfe Douglas, Ingram, Liza Puiji, Sudhi Oberoi Nathan, Czuba
Publisher: OpenStax College.
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Chapter 9, Problem 1CQ

What can you say about the velocity of a moving body that in dynamic equilibrium? Draw a sketch of such a body using clearly labeled arrows to represent all external forces on the body.

Expert Solution & Answer
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To determine

The velocity of a moving body that is dynamic equilibrium and sketch a diagram of such a body.

Answer to Problem 1CQ

The velocity of a body in dynamic equilibrium is a constant, both in magnitude and direction.

Explanation of Solution

Introduction:

A body is said to be in equilibrium if the total force on the body is zero. On this basis, there are two kinds of equilibria- static equilibrium and dynamic equilibrium. According to Newton's first law, a body continues to be in the state of rest or in the state of uniform motion in a straight line, unless acted upon by an external unbalanced force. Further, Newton's second law implies that an unbalanced force produces an acceleration.

The sum of the forces acting on a body which is in dynamic equilibrium is zero. Therefore, the body experiences no acceleration. As a result, its velocity does not change. Thus, the body which is in dynamic equilibrium moves with a constant velocity.

Consider a block of weight W, acted upon by a force F. The block is placed on a horizontal surface. The surface exerts an upward force FNcalled the normal force on the block. A force of friction f acts between the surface and the block. The block moves towards the right with a velocity v.

The forces W and FNare equal and opposite. Thus, the sum of the forces along the vertical direction is zero. If the applied force F and the force of friction f have equal magnitudes but they are directed opposite to each other. Thus, the net force along the horizontal is also equal to zero. The sum of the forces acting on the block, being zero, the block is not accelerated. Thus, the velocity of the block remains constant. It continues to move with the same speed v and in the same direction.

A diagram representing the forces is shown below.

College Physics for AP Courses, Chapter 9, Problem 1CQ

Conclusion:

A moving body under dynamic equilibrium moves with a constant velocity.

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Chapter 9 Solutions

College Physics for AP Courses

Ch. 9 - Why are the forces exerted on the outside world by...Ch. 9 - Explain why the forces in our joints are several...Ch. 9 - Why are the forces exerted on the outside world by...Ch. 9 - Explain why the forces in our joints are several...Ch. 9 - Certain of dinosaurs were bipedal (walked on two...Ch. 9 - Swimmers and athletes during competition need to...Ch. 9 - If the maximum force the biceps muscle can exert...Ch. 9 - Suppose the biceps muscle was attached through...Ch. 9 - Explain one of the reasons why pregnant women...Ch. 9 - (a) When opening a door, you push on it...Ch. 9 - When tightening a bolt, you push perpendicularly...Ch. 9 - Two children push on opposite sides of a door...Ch. 9 - Use the second condition for equilibrium (net =0 )...Ch. 9 - Repeat the seesaw problem in Example 9.1 with the...Ch. 9 - Suppose a horse leans against a wall as in Figure...Ch. 9 - Two children of mass 20.0 kg and 30.0 kg sit...Ch. 9 - (a) Calculate the magnitude and direction of the...Ch. 9 - A person carries a plank of wood 2.00 m long with...Ch. 9 - A 17.0-m-high and 11.0-m-long wall under...Ch. 9 - (a) What force must be exerted by the wind to...Ch. 9 - Suppose the weight of the drawbridge in Figure...Ch. 9 - Suppose a 900-kg car is on the bridge in Figure...Ch. 9 - A sandwich board advertising sign is constructed...Ch. 9 - (a) What minimum coefficient of friction is needed...Ch. 9 - A gymnast is attempting to perform splits. From...Ch. 9 - To get up on the roof, a person (mass 70.0 kg)...Ch. 9 - In Figure 9.21, the cg of the pole held by the...Ch. 9 - What is the mechanical advantage of a nail puller...Ch. 9 - Suppose you needed to raise a 250-kg mower a...Ch. 9 - a) What is the mechanical advantage of a...Ch. 9 - A typical car has an axle with 1.10 cm radius...Ch. 9 - What force does the nail puller in Exercise 9.19...Ch. 9 - If you used an ideal pulley of the type shown in...Ch. 9 - Repeat Exercise 9.24 for the pulley shown in...Ch. 9 - Verity that the force in the elbow joint in...Ch. 9 - Two muscles in the back of the leg pull on the...Ch. 9 - The upper leg muscle (quadriceps) exerts a force...Ch. 9 - A device for exercising the upper leg muscle is...Ch. 9 - A person working at a drafting board may hold her...Ch. 9 - We analyzed the biceps muscle example with the...Ch. 9 - Even when the head is held erect, as in Figure...Ch. 9 - A 75-kg man stands on his toes by exerting an...Ch. 9 - A father lifts his child as shown in Figure 9.43....Ch. 9 - Unlike most of the other muscles in our bodies,...Ch. 9 - Integrated Concepts Suppose we replace the 4.0-kg...Ch. 9 - (a) What force should the woman in Figure 9.45...Ch. 9 - You have just planted a sturdy 2-m-tall palm tree...Ch. 9 - Unreasonable Results Suppose two children are...Ch. 9 - Construct Your Own Problem Consider a method for...

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Static Equilibrium: concept; Author: Jennifer Cash;https://www.youtube.com/watch?v=0BIgFKVnlBU;License: Standard YouTube License, CC-BY