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xz_007 [3.2K]
3 years ago
12

Find the work done by a force of 8 pounds acting in the direction of 44° to the horizontal in moving an object 7 feet from (0, 0

) to (7, 0). Round answer to the nearest tenth of a foot-pound.
Physics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

40.3 ft-lbs

Explanation:

Work = Force•Distance = (Force)(Distance)(cosΘ)

Note what you know and/or don't know. In this case:

Force = 8lbs

Distance = 7ft

Θ = 44°

So with that and the formula of work above, we can say:

Work = (8lbs)(7ft)(cos44°) = 40.28...ft-lbs

When rounded you have 40.3 ft-lbs of work done by the force.

Side note: Just to be clear, the formula Force•Distance is said as Force "dot" Distance. It's a dot product and not just a multiplication sign; which is why the angle is important to know.

Force×Distance is said as Force "cross" Distance, which relates to a different kind of force and has a slightly different formula.

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Explanation:

The following data were obtained from the question:

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Acceleration (a) =.?

Acceleration can simply be defined as the change of velocity with time. Mathematically, it can be expressed as:

a = (v – u) / t

Where:

a is the acceleration.

v is the final velocity.

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t is the time.

With the above formula, we can obtain the acceleration of the car as follow:

Initial velocity (u) = 0 m/s

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a = 6.6 / 6.5

a = 1.02 m/s²

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