How Much Force Must the Man Exert to Move the Box?

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To move the 100kg box with an acceleration of 0.3m/s², the man must exert a force that overcomes the 150N frictional force. Applying Newton's second law (F = ma), the total force required is calculated to be 180N. This includes the force needed to counteract friction and provide the necessary acceleration. A diagram can help visualize the forces acting on the box. The final conclusion is that the man must exert at least 180N to successfully move the box.
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Homework Statement



A man pushes a heavy box. The mass of the box is 100kg. There is friction between the man and the floor; the frictional force is 150N. As the mas pushes hard, the box accelerates with acceleration 0.3m/s/s. Calculate the force F exerted by the man on the box.

Homework Equations



F = ma

The Attempt at a Solution



Does the man need to at least exert 150N to overcome the force of friction? I don't know how to attempt the problem.
 
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Ryo124 said:
Does the man need to at least exert 150N to overcome the force of friction?
Absolutely. If you drew a diagram of the situation (always a good idea), what horizontal forces would you show acting on the box? Apply Newton's 2nd law to the box.
 
So the answer would be 180N, correct?
 
Correct.
 
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