Determine the work done by force f=[1,4] in newtons for an object moving along the vector d =[6,3]
Okay i found the vector equation and then the parametric and now i have no clue what do please help :)
work= force.distance=1*6+4*3=18joules if d is in meters.
To determine the work done by a force, you need to use the dot product between the force vector and the displacement vector.
The formula for the dot product of two vectors A=[A1, A2] and B=[B1, B2] is:
A · B = A1 * B1 + A2 * B2
In this case, the force vector f=[1,4] and the displacement vector d=[6,3].
So, the dot product of f and d is:
f · d = (1 * 6) + (4 * 3) = 6 + 12 = 18
Therefore, the work done by f on the object moving along d is 18 Newtons.