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Problem 59 Easy Difficulty

A force is given by the vector $\mathbf{F}=3 \mathbf{i}+2 \mathbf{j} .$ The force moves an object along a straight line from the point $(4,9)$ to the point $(10,20) .$ Find the work done if the distance is measured in feet and the force is measured in pounds.

Answer

The work done by the force is about 39 foot-pounds.

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Video Transcript

Verdon W. Is equal toe f vector dot product with a B vector that is equal three. Common, though in brackets brought product with Ben Comber, 20 in a bracket minus four. Common nine. In a bracket, it means the object is moving from 10 comma 20.24 coma, nine point. That gives us three calmer toe door product with six coma, a level that is equal toe three multiplied by six plus two, multiplied by 11 that is equal toe 18 plus 22 that is equal to 40 foot bumps. It means work done is equal toe 40 foot bones.

Top Algebra Educators
GH
Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor