**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

Similar questions

A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs. The bucket is initially at the ground. The work required to lift the bucket up to a point 10 ft from the ground is ot p S.O. f(y) dy a Compute a + b + f(6)
A force F = (3.0N)î + cj acts on a particle as the particle goes through displacement d = (3.0m)i – (2.0m)j. (Other forces also act on the particle.) What is c in Newtons if the work done on the particle by force is 17 J? wwww m Lütfen birini seçin: O A. -6 O B. -11 O C.-12 O D. -4 O E. -8
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?
a 28kg block is pushed 14.5m up the sloping surface of a plane inclined at an angle of 27 degrees to the horizontal by a force A of 120N and force B of 25N. What is the work done by force A and B
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 is given by F = 6x^2 - 5x where F is in Newton (N) and x is in meters. Determine the work done by the variable force from x = 3.0 to 7.0 m.
28. Ssscalar. A box of mass 20.0 [kg] slides down from the top of a surface inclined at 50.0° with height of 10.0 [m], as shown in the figure. The coefficient of kinetic friction between the box and the inclined surface is lk = 0.350. 10.0 (m] When the box reaches the bottom of the incline, what is the work done by the weight of the box? A-0.350 50.0° A. 1.50 [kJ] B. 1.64 [kJ] C. 1.96 (kJ] D. 2.45 [kJ]
A gardener pushes a lawn roller through a distance of 45m. If he applies a force of 35N in a direction inclined at 50° downward from the horizontal, the work done by the gardener is a. 1575 J Ob. 0J C. 1206.52 J d. 1012.39 J
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?