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Problem 60 Easy Difficulty

A force is given by the vector $\mathbf{F}=5 \mathbf{i}+7 \mathbf{j} .$ The force moves an object along a straight line from the point $(8,11)$ to the point $(18,20)$. Find the work done if the distance is measured in meters and the force is measured in newtons.

Answer

The work done by the force is about 67 foot-pounds.

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Video Transcript

overdone W is equal toe defector door. A B vector effect is represented by five Cape Plus seven Jacob that is equal in bracket five comma seven. A B vector is represented by 18 coma, 20 in one bracket, minus eight. Coma. 11 in second bracket that is equal to five. Coma, seven door productive with 10 coma. Nine. That is equal to fire, multiplied by 10 plus seven multiplied by nine. That is a covert off people. US 63 that is equal Group 113 Mitter New Dance. It means the work done is equal toe 113 meter Newtons.

Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Alayna H.

McMaster University

MG
Maria G.

Numerade Educator