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Two ropes are attached to a 40-kg object. The first rope applies a force of 25...

Two ropes are attached to a 40-kg object. The first rope applies a force of 25 N and the second, 40 N. If the two ropes are perpendicular to each other, what is the resultant acceleration of the object?

a. 3.0 m/s2
b. 47 m/s2
c. 1.2 m/s2
d. 5.0 m/ s2
e. 25 m/s2
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Answer #1

Resultant force F = √ x^2 + y^2

                             = √ ( 25 ^2 N + 40^2 N )

                               = 47 N

       F = ma

       a = 47 N / 40 kg

            = 1.2 m/s^2

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