Calculating Minimal Force for Constant Speed: Friction & Mass Relationship

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To calculate the minimal force required to move a 20 kg block at a constant speed on a surface with a coefficient of friction of 0.30, the frictional force is determined using the formula: frictional force = coefficient of friction × mass × gravity. This results in a frictional force of 58.86 N. To maintain constant velocity, the applied force must equal the frictional force, confirming that a force of 58.87 N is necessary. This aligns with Newton's 1st Law, which states that the net force must be zero for constant velocity. Thus, the calculation is accurate and the minimal force needed is effectively 58.87 N.
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Homework Statement



A 20 kg block is on a surface where the coefficient of friction is 0.30. Find the minimal force needed to have the block more slowly at a constant speed.


The Attempt at a Solution



So I did coefficient of friction(mass)(gravity)=frictional force
20(0.3)(9.8)=58.86 N is the frictional force

Now is the minimal force needed to move the block like 58.87?
 
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Yes, for the block to be moving at a constant velocity (by Newton's 1st Law), friction = force applied on block. Hence your answer is absolutely correct.
 
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