Force Work on 5kg Particle Moving at Constant Velocity

AI Thread Summary
The discussion centers on calculating the work done by a force on a particle moving at a constant velocity. The particle has a mass of 5 kg and is subjected to a force represented by the vector 1Nx + (-5Ny) + 6Nz. The initial attempt at finding the work done resulted in a vector answer, but it's clarified that power and work are scalar quantities. The final consensus indicates that the rate of work done by the force is -7 watts, suggesting that the force is acting against the motion of the particle.
Nickluvn
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Homework Statement


A particle with mass 5kg travels with a constant velocity of 5 m xˆ − 2 m zˆ while ss
subject to a force of 1Nxˆ − 5Nyˆ + 6Nzˆ . At what rate is this force doing work on the particle?


Homework Equations


w = fd


The Attempt at a Solution


I changed it into vector notation

so it kinda looked like [5,0,-2][x^ y^ z^] dot product with [1 , -5 , 6] [ x^ y^ z^]

the answer i got was 5 N*m/s x^ - 12 N*m/s z^

this correct?
 
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Nickluvn said:

Homework Statement


A particle with mass 5kg travels with a constant velocity of 5 m xˆ − 2 m zˆ while ss
subject to a force of 1Nxˆ − 5Nyˆ + 6Nzˆ . At what rate is this force doing work on the particle?


Homework Equations


w = fd


The Attempt at a Solution


I changed it into vector notation

so it kinda looked like [5,0,-2][x^ y^ z^] dot product with [1 , -5 , 6] [ x^ y^ z^]

the answer i got was 5 N*m/s x^ - 12 N*m/s z^

this correct?
Almost. Power and work are scalar quantities. They have no vector direction. They are either positive or negative values.
 
So it would be -7 N*m/s?
 
Nickluvn said:
So it would be -7 N*m/s?
That's what I get... 0r -7 watts...hmmm, negative power ...
 

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