How Is Frictional Force Calculated When Resultant Force Is Zero?

AI Thread Summary
The discussion centers on calculating frictional force when the resultant force is zero. A box of mass 50kg is pushed with a force of 200N, moving at a constant speed of 0.25m/s, indicating that the frictional force must equal the applied force. The work done by the man on the box is calculated as 50J, leading to a power output of 50W. The confusion arises from understanding why the frictional force equals 200N despite the zero resultant force, which is clarified by recognizing that the forces must balance in a free body diagram. The key takeaway is that frictional force matches the applied force when the box moves at constant speed, resulting in no net acceleration.
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Homework Statement



A large box of mass 50kg rests on a horizontal floor. A man moves the box by pushing it with a horizontal force of 200N. The box moves at a constant speed of 0.25m/s.

a) Calculate the work done on the box each second by the man.
b) State the rate at which work is done on the box, i.e the power.
c) State the value of the force of friction between the floor and the box.


Homework Equations



Work done = Force x Direction
Power = Work done / Time taken/


The Attempt at a Solution



a) Work Done = 200 x 0.25 = 50J
b) Power = Work Done / Time Taken = 50J / 1 = 50W
c) * i need help here. Heres my attempted solution * Since the box moves at a constant speed, acceleration = 0 , WHY is resultant force ZERO then ? can someone help me with the thinking process ??


Thanks in advance.
 
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Force= mass times acceleration. Zero acceleration means zero resultant force. What is the problem?
 
ehild said:
Force= mass times acceleration. Zero acceleration means zero resultant force. What is the problem?

Oh i just discovered this formula as we are doing energy,work and power before kinematics. Sorry, newbie here. :shy:

But why is frictional force 200N when resultant force is 0 ?
It it because in the free body diagram, both sides must minus off to produce 0 resultant force?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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