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lions [1.4K]
3 years ago
9

If a person pulls a cart to the right at 5N of force and another person pulls to the left with a 15N of force? What is the net f

orce and it what direction
Physics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

The net force is 10 [N] acting to the left

Explanation:

To solve this type of problem we must make a sum of the forces acting on the cart, since the forces are vectors, we know that vectors can be added, In this way forces that go in the same direction are added and forces in opposite directions are subtracted.

FL = force to the left = - 15 [N]

FR = force to the right = 5 [N]

FT = Resultant force [N]

- 15 + 5 = FT

FT = - 10 [N]

The negative sign tells us that the force acts to the left.

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Answer:

The depth of the well, s = 54.66 m

Given:

time, t = 3.5 s

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s = \frac{1}{2}gt'^{2}

s = \frac{1}{2}9.8t^{2} = 4.9t'^{2}                     (1)

Now, when the sound inside the well travels back, the distance covered,s is given by:

s = v\times t''

s = 343\times t''                                              (2)

Now, total time taken by the sound to travel:

t = t' + t''

t'' = 3.5 - t'                                                                        (3)

Using eqn (2) and (3):

s = 343(3.5 - t')                                                                 (4)

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4.9t'^{2} + 343t' - 1200.5 = 0

Solving the above quadratic eqn:

t' = 3.34 s

Now, substituting t' = 3.34 s in eqn (2)

s = 54.66 m

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