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(II) Find a vector of unit length in the $x y$ plane that is perpendicular to $3.0 \hat { \mathrm { i } } + 4.0 \hat { \mathrm { j } }$

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$\hat{\mathbf{u}}=-0.8 \hat{\mathbf{i}}+0.6 \hat{\mathbf{j}}$

Physics 101 Mechanics

Chapter 7

Work and Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

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In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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(II) Given the vector $\ve…

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Sketch vector in an $x$-$y…

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Determine a unit vector pe…

So we need to find a vector of unit length that is perpendicular to you. So we can say that Ah, vector. There's ah perpendicular to a vector Were going to say that we're going to define vector you as use of X. I have plus use of why Jae ha And we can say that you, the dark Arctic Between you and 3.0 I had plus 4.0 j hat. This must equal zero s. So we can say that three you expose for u ex must equal zero s So we can say that use of why equals negative 0.75 use of X. So at this point, we can say that use of X squared plus use of why squared is going to equal one because it needs to be a unit vector and this is going to be equal to use of X squared plus negative 0.75 use of ex quantity squared and this is equal in one s. So we can say that use of X and Saul for use of X using you can use your t 84 85 89 in order to solve for use of X and simply drop the units. Change this tax and simply find X. Andi. Find that use of X is going to be equal to plus or a minus 0.8, which is giving us that use of why needs to be a plus or a minus 0.6. Now hear the possible combinations for the vector. U would be 0.8 I minus 0.6 j or we could have Ah, negative point. Aye, aye. Hat plus 0.6 and 1/2. So either these answers are fine. That is the end of the solution. Thank you for watching.

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