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24 October, 07:32

A box has a mass of 35kg. he pulls the rope horizontally with a force of 175 N. Find the horizontal acceleration of the box as it moves along the floor if it experiences a friction force of 55 N.

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  1. 24 October, 08:56
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    3.43 m/s^2

    Explanation:

    Force is equal to mass times acceleration. (F=ma). You can use inverse operations to get the formula for acceleration, which is acceleration is equal to force divided by mass. (a=F/m). Since there are two forces here, the force friction (55 N), and the force applied (175 N), we must solve for the net force. To solve for the net force, you take the applied force (175 N) and subtract the frictional force from it (55 N). Thus, the net force is 120 N. With this done, we can now solve for our acceleration.

    Using the equation for acceleration, we take the force and divide it by mass.

    120/35

    Answer: 3.43 * m/s^2**

    *Note: This is rounded to the nearest hundredth, the full answer is: 3.42857143

    **Note: In case you're confused, this is meters per second squared.
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