A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free body di

Question

A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free body diagram is shown.What is the net force in the x-direction?

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Lệ Thu 4 years 2021-08-24T03:28:06+00:00 1 Answers 6 views 0

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    2021-08-24T03:29:17+00:00

    Answer: 34.4N

    Explanation:

    Given the following :

    Applied force (F) = 65N

    Angle of inclination (Θ) = 58°

    g = acceleration due to gravity = 9.8m/s^2

    Therefore, net force in the x-direction is given has;

    The horizontal component of force;

    Fx = mgCosΘ

    Fhorizontal = mass × acceleration due to gravity × cosΘ

    mass × acceleration due to gravity = 65N

    Fx = 65N × Cos58°

    Fx = 65 × 0.5299192

    Fx = 34.44N

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