Two ropes are attached to a 40 kg object. The rope with a 50 N force points along a direction 25 degrees from the positive x-axis, and the other rope with a 50 N force points along a direction 190 degrees. What is the acceleration of the object in m/s/s? 30 8.88 4.75 13.39 7.89

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Chapter1: Units, Trigonometry. And Vectors
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Two ropes are attached to a 40 kg object.  The rope with a 50 N force points along a direction 25 degrees from the positive x-axis, and the other rope with a 50 N force points along a direction 190 degrees.  What is the acceleration of the object in m/s/s?
30
8.88
4.75
13.39
7.89
Expert Solution
Step 1: Given data

Mass of object is m equals 40 space kg

Force stack F subscript 1 with rightwards arrow on top equals 50 space straight N makes an angle 25 to the power of degree with +x-axis.

Force stack F subscript 2 with rightwards arrow on top equals 50 space straight N makes an angle 190 to the power of degree with +x-axis.

Note:

1 space straight N equals 1 space kg times straight m divided by straight s squared

Gravitational acceleration is g equals 9.8 space straight m divided by straight s squared

Find:

Magnitude of obejct's acceleration.

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