Problem 8.8 A force with varying magnitude Fx is applied on an object and the displacement of the object is recorded in terms of x. The applied force is then plotted as a function of displace- ment and the curve shown in Fig. 8.23 is obtained. It is observed that between x = 0 and x = 9 m, the force is proportional to the square root of displacement: F. 18 12 Fx = c/x Here, Fx is measured in Newtons and x in meters, and the constant of proportionality between Fx and x is estimated to be c = 6. 0. 4 8. Fig. 8.23 Problem 8.8 Determine the work done by F, on the object to move the object from: (a) x = 0 to x = 4 m (b) x = 0 to x = 9 m (c) x = 4 to x = 9 m Answers: (a) 32 J, (b) 108 J, and (c) 76 J

Problem 8.8 A force with varying magnitude Fx is applied on an object and the displacement of the object is recorded in terms of x. The applied force is then plotted as a function of displace- ment and the curve shown in Fig. 8.23 is obtained. It is observed that between x = 0 and x = 9 m, the force is proportional to the square root of displacement: F. 18 12 Fx = c/x Here, Fx is measured in Newtons and x in meters, and the constant of proportionality between Fx and x is estimated to be c = 6. 0. 4 8. Fig. 8.23 Problem 8.8 Determine the work done by F, on the object to move the object from: (a) x = 0 to x = 4 m (b) x = 0 to x = 9 m (c) x = 4 to x = 9 m Answers: (a) 32 J, (b) 108 J, and (c) 76 J

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Vector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value…

A: The objective of the question is to find the value of vector s given that the sum of vectors v, w,…

Q: (a) What is the resistance of a 1.00×102 -Ω , a 2.50-kΩ , and a 4.00-k Ω resistor connected in…

A: For series connection , Rnet=R1+R2+R3 =1x1021000+2.50+4.0 =0.1+2.5+4.0 =6.6kΩ

Q: Two vectors have the following magnitude, A = 10.7 m and B = 12 m. Their vector product is: A⨯B =…

Q: Force F has coordinates of lbs and position vector r lies in the xz plane with components of ft.…

Q: To keep the calculations simple, but still reasonable, we shall model a human leg that is 100.0 cm…

Q: A vector a→a→ of magnitude 18 units and another vector b→b→ of magnitude 7.6 units differ in…

A: Given data: Magnitude of the vector A = 18 units Magnitude of the vector B = 7.6 Angle between…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: We have this equation in 1D. If the terms confuse you, just follow the math: m d v/ d t − F = 0…

Q: The force acting on a particle is given by F(r) = (A/r2)r̂, where A is a positive constant. (a)…

A: A variable force F= (A/r2 ) where A is positive

Q: A vector→AA→has a magnitude of 44.0 m and points in a direction 20.0° below the positive x-axis. A…

A: The vector A is in the fourth quadrant since it is 20o below positive x axis. In the fourth…

Q: An engineering apprentice is given a rectangular sheet of metal of dimensions 500mm x 300mm. She is…

A: Let's assume that the length of the sides of the square that should be cut to maximize the volume be…

Q: Use the definition of scalar product, a b = ab cos 0, and the fact that a = axbx + ayby + azbą to…

Q: The demand function for specialty steel products is given, where p is in dollars and q is the number…

Q: A vector a of magnitude 14 units and another vector b of magnitude 4.2 units differ in directions by…

Q: What is the direction of the vector product A x B? Use the legend in the box to indicate direction.…

A: Introduction: The cross product is used to find a vector that is perpendicular to the plane spanned…

Q: In the cross (or vector) product F=qx B we know that q = 1 qu F = -291 +-167 + -18k ✓= -6.01 +3.0…

Q: A variable force F(x)=Ax2-Bx acts on an object. The units of F(x) are N and the values of A and B…

Q: Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A…

Q: Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B =…

Q: Vector A→, which is directed along an x axis, is to be added to vector B→, which has a magnitude of…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

I do not know how to get started with my graph. Does my x axis need to be between 7.84 or 15.68 and my y axis between 0.779 or 1.558. If so how should I start my graph and how much should I go up by with both x and y axis's. Please help! I am confused.
ANSWER QUICK! Ive read the honor code and it says that their a question can have up to 3 subparts (i.e. part a, b, and c). So please answer all questions. Frodo is walking fast towards Mount Doom. What is the minimum uncertainty in his position, given that his velocity is 1000 2.0 mm.s-1? Frodo has a mass of 50 kg. (1 mm = 10-3 m). Pick correct answer: a)5.3 x 10-34 m, b)5.3 x 10-31 m , c)5.3 x 10-38 m, d)1.3 x 10-34 m, e)1.3 x 10-23 m 2. In the H atom, which of the following transitions will result from the absorption of the highest frequency photon? Select all that apply (Assume all transitions are possible). Pick correct answer: a)4d to 1s, b)2p to 4d, c) 3s to 6f, d)2p to 3s, e) 4p to 1s, f) 2p to 4s 3.Which of the following quantum numbers can be used to describe a 5p orbital? (Select all choices that apply) a)n=5; l = 1; ml = -1, b)n=5; l = 0; ml = -1, c)n=5; l = 1; ml = 0, d)n=5; l = 2; ml = -1, e)n=5; l = 0; ml = 1
Figure x Part A - Moment due to a force specified by magnitude and endpoints F As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) VE ΑΣΦ ↓↑ vec Mo 0.013,97.9, - 196 Submit The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m, y₁ = 2.60 m, and z₁ = 1.30 m. B What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Previous Answers X Incorrect; Try Again; 4 attempts remaining 1 of 3 ? i, j, k] N · m
A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by 72°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product a×b.
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.620 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (tha inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.6 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread kg • m2
A cube with the dimensions bXbXb with mass m lies on the flat horizontal ground. One the side shown in the figure. The thickness normal to the plane of the figure is b. The cube is subject to the earth's gravity and the friction coefficient between the cube abd the ground is mu. Express your answer in terms of the given variables. What is the minimum force required to produce sliding? What is the minumum force required to produce tipping of the cube? Assume the cube is rotating about O. Impulsive horizontal loading L is applied on the edge B such that force F(t) is applied during the very short time delta t: where L= the integral from zero to delta t of F(t)dt. What is the minimum value of the impulse for which the cube tips over and falls on side OA.
1.Given the diagram of vectors v and w below (a) Use the graph to geometrically find v + w (b) Use the graph to geometrically find v – w (c) Write v in component form: _____________ (d) Write w in component form: _____________ (e) Algebraically calculate the sum v + w
Answer must be in standard form scientific notation with SI units that do not have prefixes ( except for kg.) all angles and directions must be calculated to the nearest 0.1 deg. (Tenth of a degree) and entered in standard form scientific notation.
Vector Á has a magnitude of 9.00 units, vector B has a magnitude of 4.00 units, and the dot product Á ·B has a value of 27. What is the angle between the directions of Á and B?