How Do You Calculate Work and Power for a Moving Object?

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To calculate work and power for a moving object, first express the force and position vectors in proper vector form. The work done on the object can be found using the dot product of the force vector and the displacement vector, which is derived from the difference between the final and initial position vectors. Average power can then be calculated by dividing the work done by the time interval. Additionally, the angle between the initial and final position vectors can be determined using the dot product formula. Proper vector notation is crucial for accurate calculations.
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Homework Statement



A force = (5.10 N) + (9.50 N) + (7.50 N) acts on a 2.30 kg mobile object that moves from an initial position of i = (1.30 m) - (9.70 m) + (7.90 m) to a final position of f = -(1.90 m) + (4.80 m) + (8.00 m) in 4.50 s. Find (a) the work done on the object by the force in the 4.50 s interval, (b) the average power due to the force during that interval, and (c) the angle between vectors i and f.

Homework Equations



W= F dot d

W= F*d

The Attempt at a Solution



First I attempted to solve for a by doing the dot product of the force vector and the d final but that didn't work. Then I found the magnitudes of F and d final and multiplied them but then that didn't work either. Am I supposed to use F= ma and find the acceleration? but if its that what am I supposed to find after?

Homework Statement


Homework Equations


The Attempt at a Solution

Solved
 
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danest said:

Homework Statement



A force = (5.10 N) + (9.50 N) + (7.50 N) acts on a 2.30 kg mobile object that moves from an initial position of i = (1.30 m) - (9.70 m) + (7.90 m) to a final position of f = -(1.90 m) + (4.80 m) + (8.00 m) in 4.50 s. Find (a) the work done on the object by the force in the 4.50 s interval, (b) the average power due to the force during that interval, and (c) the angle between vectors i and f.
You better write the problem in the proper vector form. Like
F = (5.10 N)i + (9.50 N)j + (7.50 N)k
Initial position vector A = (1.30 m)i - (9.70 m)j + (7.90 m)k
Final position vector B = -(1.90 m)i + (4.80 m)j + (8.00 m)k
The displacement vector d = (B - A)
Now find w = F.d
 
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