F = a + bx
We're told that 'F' is force and 'x' is distance. So both of the terms 'a' and 'bx'
are also force.
Dimensionally:
[ a ] = [ force ] = [ mass - length3 - time-2 ]
[ b ] = [ force/length ] = [ mass - length2 - time-2 ]
Force times distance equals work.
distance
W= FxD is a balanced equation because Work is Force times distance.
Work=Force X Distance
Work is defined as the dot product of force times distance, or W = F * d = Fd cos (theta) where theta is the angle in between the force and distance vectors (if you are doing two dimensions). In three dimensions, use the standard definition for the dot product (using the component form of the vectors).
This question is, unfortunately, not well stated. Force and distance are different in dimensions so force and distance cannot ever be the same. You could have numerically similar dimensions - such as 2 Newtons and 2 feet, but they are not the same thing. The question needs to be re-stated and clarified so that we can give a valid answer.
Force times distance equals work.
Force times Distance equals Work
Moment of force, also known as torque, has dimensions of force x distance.
equals work
distance
Yes - quite different. Energy has dimensions of force x distance - if you apply a force over a certain distance, you transfer a certain amount of energy.
work (effort) equals load times distance
< TIMES >You can't add or subtract quantities with different dimensions, like force and distance, speed and volume, etc.
< TIMES >You can't add or subtract quantities with different dimensions, like force and distance, speed and volume, etc.
W= FxD is a balanced equation because Work is Force times distance.
No, work is equal to force times distance. Power is equal to force times distance over time.