**Problem: Work Done by a Force**(a) A force \(\mathbf{F} = (6x \hat{\mathbf{i}} + 5y \hat{\mathbf{j}})\), where \(\mathbf{F}\) is in newtons and \(x\) and \(y\) are in meters, acts on an object as the object moves in the x-direction from the origin to \(x = 4.80\, \text{m}\). Find the work \(W = \int \mathbf{F} \cdot d\mathbf{r}\) done by the force on the object (in Joules).- **Solution:** - Answer: \(\boxed{69.12 \, \text{J}}\)(b) **What If?** Find the work \(W = \int \mathbf{F} \cdot d\mathbf{r}\) done by the force on the object (in Joules) if it moves from the origin to \((4.80 \, \text{m}, 4.80 \, \text{m})\) along a straight-line path making an angle of \(45.0^\circ\) with the positive x-axis.- **Solution:** - User provided answer: \(\boxed{69.12} \, \text{(Incorrect)}\) Note: Consider breaking the force into components corresponding to the direction of movement for accurate calculations.

Name: **Problem: Work Done by a Force**(a) A force \(\mathbf{F} = (6x \hat{
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: **Problem: Work Done by a Force**(a) A force \(\mathbf{F} = (6x \hat{\mathbf{i}} + 5y \hat{\mathbf{j}})\), where \(\mathbf{F}\) is in newtons and \(x\) and \(y\) are in meters, acts on an object as the object moves in the x-direction from the origin

a) Force acting on an object = object moves in x direction from origin to x = 4.80 mNow, work done…

Science

Physics

(a) A force F = (6x1 + 5yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 4.80 m. Find the work W = ·/ F F. dr done by the force on the object (in J). 69.12 J /*. F. dr done by the force on the object (in J) if it moves from the origin to (4.80 m, 4.80 m) along a straight-line path making an angle of 45.0° with the positive x-axis. X J (b) What If? Find the work W = 69.12

(a) A force F = (6x1 + 5yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 4.80 m. Find the work W = ·/ F F. dr done by the force on the object (in J). 69.12 J /*. F. dr done by the force on the object (in J) if it moves from the origin to (4.80 m, 4.80 m) along a straight-line path making an angle of 45.0° with the positive x-axis. X J (b) What If? Find the work W = 69.12

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: 1. Emma pushes a 45.0kg box across a level floor with an applied force of 155N [30° above…

Q: 1. A student of mass 40 kg caries a bag weighing 5000g from the ground floor to his class on the…

A: Work done by boy W= mgh Given that m= 5kg h= 0.7m

Q: In the diagram, the angle of the incline is 0 = 28°. Although a 27_N horizontal force is applied to…

A: Introduction: Force is the vector quantity. Fundamentally it can be represented as, product of mass…

Q: To push a 52-kg crate across a floor, a worker applies a force of 190 N, directed 22° below the…

Q: How much work (in J) is done by the boy pulling his sister 25 m in a wagon as shown in the figure…

Q: 4.00 F(r) = 32.07 – 16.0xyî - x2 A three-dimensional force is given by %3D What is the work done, in…

Q: A single conservative force acts on a 4.90-kg particle within a system due to its interaction with…

A: Given data, Mass of the particle = 4.90 kg Force, Fx=2x+4 Also, x = 0.92 m to x = 6.45 m

Q: A force F =(4xi+3y N acts on an object as it moves in the x direction from the origin to x= 4m. The…

Q: A shopper in a supermarket pushes a cart with a force of 47 N directed at an angle of 25° below the…

A: Given, Force applied by the shopper, F=47 N, Angle below horizontal,θ=250, and Length moved, l=58.0…

Q: A 2.00 kg box is placed on a 20.0 m high point on a hill and released from rest. When the box…

Q: Suppose you drag a box 8.0 m across a horizontal floor, exerting a force of 90. N at 35 degrees…

Q: 3. A certain force applied on an object is depicted below. (a) What is the work done by the force…

Q: On the y-axis (Free Fall, thus FG = W =mg), a 9 kg object is released from 15 m. a. Calculate the…

A: Here we have to use formula for calculating work done that is given as W= F.dr Here F is force dr…

Q: A 5 lb bucket attached to a rope is lifted from the ground into the air by pulling in 21 ft of rope…

Q: Calculate the work done when a 5.0 kg bag of apples is lifted 1.2 m off the ground. 13 c)…

Q: A 2 kg block is experiencing a variable force P as it moves down an incline. In the first 4 m, the…

A: as per our guidelines we are supposed to answer up to 3 subparts of a question. Kindly repost…

Q: 1.A force of Si + j+ 2k N displaced a body from a position of i+j+km to 2i+4j+ 6k m. How much work…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Topic Video

Question

**Problem: Work Done by a Force**

(a) A force \(\mathbf{F} = (6x \hat{\mathbf{i}} + 5y \hat{\mathbf{j}})\), where \(\mathbf{F}\) is in newtons and \(x\) and \(y\) are in meters, acts on an object as the object moves in the x-direction from the origin to \(x = 4.80\, \text{m}\). Find the work \(W = \int \mathbf{F} \cdot d\mathbf{r}\) done by the force on the object (in Joules).

- **Solution:**
- Answer: \(\boxed{69.12 \, \text{J}}\)

(b) **What If?** Find the work \(W = \int \mathbf{F} \cdot d\mathbf{r}\) done by the force on the object (in Joules) if it moves from the origin to \((4.80 \, \text{m}, 4.80 \, \text{m})\) along a straight-line path making an angle of \(45.0^\circ\) with the positive x-axis.

- **Solution:**
- User provided answer: \(\boxed{69.12} \, \text{(Incorrect)}\)

Note: Consider breaking the force into components corresponding to the direction of movement for accurate calculations.

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: A)Calculating work done

VIEW

Step 2: B)Calculating work done

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 24 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

Wnet = Σ F d cos θ How would I use this equation to get the same result for net work in a problem where the work done by each force is added arithmetically?
Force = 4x ^ 4 - 3x. Find the work in mks units done by the force for a distance of x = 1 to x = 7:
An object moves a distance 71 m when a force of 54 N is applied in that same direction. Calculate the work done by the force on the object as it moves. W = O Search CO J B.
A force F=(4- 3N acts on an object as it moves in the x direction from the origin to S. The work done on the object by the force is Select one: а. 50 J b. 42 J С. 36 J d. 28 J
you become angry with physics and throw your 1kg book across the room. If the speed of the book after it leaves your hand is 30 m/s, how much work did you do on the book? Assume the height of the book doesnt change.
Suppose a car approaches a hill and has an initial speed of 106 km/h at the bottom of the hill. The driver takes her foot off of the gas pedal and allows the car to coast up the hill. a. If the car has the initial speed stated at a height of h = 0, how high, in meters, can the car coast up a hill if work done by friction is negligible? b. If, in actuality, a 750-kg car with an initial speed of 106 km/h is observed to coast up a hill and stops at a height 21.5 m above its starting point, how much thermal energy was generated by friction in J? c. What is the magnitude of the average force of friction, in newtons, if the hill has a slope 2.1° above the horizontal?