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Zigmanuir [339]
3 years ago
15

A constant force of 12.5 N in the positive x direction acts on an object as it moves from the origin to the point open parenthes

is space 6 i with hat on top minus 8 j with hat on top space close parentheses m. How much work is done by the given force during this displacement
Physics
1 answer:
Nady [450]3 years ago
4 0

Answer:

Explanation:

Given that

Force is acting in the positive x direction,

Then F = 12.5 •i

The displacement is given as

d = 6 •i — 8 •j

Then,

Work done?

Work done is given as the dot product of force and displacement

W = F•d

W = 12.5i •(6i — 8j)

Note that,

i•i = j•j = 1

i•j = j•i = 0

Then,

W = (12.5×6)(i•i) —(12.5×8)(i•j)

W = 75 —0

W = 75J

work is done by the given force during this displacement is 75J

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The only graph that accurately depict the given motion is graph D.

The given parameters;

  • initial position of the man = 0
  • direction of the man's first displacement = backward
  • time of first motion, t₁ = 6 seconds
  • velocity of this first displacement = v₁
  • time without any motion (<em>zero movement</em>) = 6 seconds
  • direction of the second displacement = forward
  • velocity of second displacement = 2v₁

Let the acceleration of the first displacement = a

Acceleration of the second displacement = 2a

From the given graphs we can eliminate every graph without initial decrease or motion towards the negative direction.

The only options with initial motion towards the negative direction are;

  • <em>graph B</em>, and
  • <em>graph D</em>.

The difference between graph B and D;

  • in graph B there is a uniform motion for 6 seconds
  • in graph D there is no motion for 6 seconds (<em>this is obvious as the line fall directly on top of the horizontal axis maintaining a value of zero for 6 seconds</em>).

Thus, the only graph that accurately depict the given motion is graph D.

Learn more here: brainly.com/question/21095906

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2 years ago
Which statement best describes the benefits that would make the investment worthwhile?
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In a swimming meet, the swimmers swim a total of 8 laps of a 50-meter-long swimming pool. What is the distance traveled by a swi
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Answer:

The swimmer has a distance traveled of 800 meters.

The final displacement of the swimmer is 0 meters.

Explanation:

A lap is a round trip made by a swimmer in the pool, so that the distance traveled by swimmer is sixteen times the length of the swimming pool. That is:

s = \left(2\,\frac{travels}{lap} \right)\cdot \left(8\,laps \right)\cdot \left(50\,\frac{m}{travel}\right)

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A swimmer has a distance traveled of 800 meters.

The displacement is the distance between swimmer and a reference point, let suppose that reference point is located at the beginning of the first lap. Hence, the final displacement of the swimmer is 0 meters.

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Answer:

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No force is necessary for the object to keep its speed and direction on a frictionless surface.

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