Co-efficient of Static Friction Question

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To determine the force needed to start a 5.0 kg rubber block sliding on a floor with a coefficient of static friction of 0.72, the friction force is calculated using the formula: Friction = coefficient of static friction × Surface Normal Force. The Surface Normal Force equals the weight of the object, which is 49.05 N. Multiplying these values gives a friction force of 35 N. However, the book states that 106 N is required, leading to confusion, as the calculations suggest the book's answer may be incorrect. The applied force is assumed to be horizontal in this context.
Sabellic
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Homework Statement


If the coefficient of static friction for a 5.0 kg rubber block on a floor is 0.72, how much force is needed to start it sliding?

Mass=5.0kg
Co-efficient of Static Friction=0.72
Friction=?


Homework Equations


coefficient of static friction = Friction Force/Surface Normal Force (equal to the weight of the object)


The Attempt at a Solution



0.72=Friction/(5)*(9.81)
0.72=Friction/49.05
0.72*49.05=Friction
35N=Friction

Therefore, an applied force of at least 35 Newtons is needed to overcome the Friction Force and start the object moving. But the answer in the book gave me 106 Newtons. I don't know how that was arrived at...but strangely enough 35 * 3 = 106.

Thanks in advance for clearing up the matter for me.
 
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Sounds like you are correct and the book is wrong. (I assume the force is meant to be applied horizontally.)
 
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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