Tutorial Exercise43)N acts on a particle that undergoes a displacement Ař = (5 î + ĵ)A force F = (5 î – 4m.(a) Find the work done by the force on the particle.(b) What is the angle between F and Ar?Part 1 of 5 - ConceptualizeThe work will be about ten joules and the angle can be approximated with a rough sketch. In your sketch, thetwo vectors start from the same point.Part 2 of 5 - CategorizeWe can use the equation for work as a dot product between the force vector and the displacement vector. Thedefinition of the dot product makes this an easy calculation.Part 3 of 5 - Analyze(a) We use the mathematical representation of the definition of work. Remember that î-ĵ = ĵ-î = 0.W = F. AFî - 4j) N -(IJi+i)mm) + (-a n)(]m)=

Given, Force, F→=(5i-4j) N Displacement, ∆r→=(5i+j)m

Answered: (a) Find the work done by the force on…

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(a) Find the work done by the force on the particle. (b) What is the angle between F and Ař?

College Physics

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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)...

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

Tutorial Exercise
43)
N acts on a particle that undergoes a displacement Ař = (5 î + ĵ)
A force F = (5 î – 4
m.
(a) Find the work done by the force on the particle.
(b) What is the angle between F and Ar?
Part 1 of 5 - Conceptualize
The work will be about ten joules and the angle can be approximated with a rough sketch. In your sketch, the
two vectors start from the same point.
Part 2 of 5 - Categorize
We can use the equation for work as a dot product between the force vector and the displacement vector. The
definition of the dot product makes this an easy calculation.
Part 3 of 5 - Analyze
(a) We use the mathematical representation of the definition of work. Remember that î-ĵ = ĵ-î = 0.
W = F. AF
î - 4j) N -
(I
Ji+i)m
m) + (-a n)(
]m)
=

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