Calculating Force Required to Overcome Friction

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To calculate the force required to start moving a 2.5 kg block with a coefficient of static friction of 0.30, the normal force (Fn) is determined to be 24.5 N. The frictional force (Ff) is then calculated using the static friction coefficient, resulting in a value of 7.35 N. It is emphasized that static friction applies until the block begins to move, after which kinetic friction takes over. The correct force to apply via the string to initiate movement is confirmed to be 7.35 N. Understanding the distinction between static and kinetic friction is crucial for solving such problems.
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Homework Statement



A 2.5 kg block is pulled to the right by a horizontal string. The coefficient of static friction between block and floor is 0.30 and coefficient of kinetic friction is 0.20.

What value of force applied by the string will start the block moving?

Homework Equations



f=ma
Ff=(coefficient of friction)(Fn)

The Attempt at a Solution



i wasn't sure if i had to use coefficient of static or kinetic. I'm assuming kinetic since the block will be moving.
so i got:
Fn=(2.5)(9.8)
Ff=2.5*9.8*.3
=7.35
 
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You assumed the wrong type of friction but used the correct value of the coefficient. Up until the block actually moves, static friction applies.
 
PhanthomJay said:
You assumed the wrong type of friction but used the correct value of the coefficient. Up until the block actually moves, static friction applies.

so I'm right? because i did use the value for the static friction.
 
runningirl said:
so I'm right? because i did use the value for the static friction.
Yes, 7.35 N
 
Because your moving the block you need to use kinetic if the block were to be sitting alone you would use static frction.

in this problem, you were right you need to use the the coefficient of static friction until you actualy start moving the block, and then the static changes to kinetic, so you ar eright the answer is 7.35N
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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