What Is the Coefficient of Friction for a Toboggan with Added Weight?

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The discussion centers on calculating the coefficient of friction for a toboggan with added weight. A 12kg toboggan requires an 11N force to maintain constant velocity, resulting in a gravitational force of 118N and a coefficient of friction (μK) of 0.093. When two 57kg girls are added, the total mass becomes 126kg, leading to a gravitational force of 1234.8N. The horizontal force required to pull the toboggan with the added weight can be determined using the previously calculated coefficient of friction.

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A 12kg toboggan is pulled along at a constant velocity on a horizontal surface by a horizontal force of 11N.
a) What is the force of gravity on the toboggan?
b) What is the coefficient of friction?
c) How much horizontal force is needed to pull the toboggan at a constant velocity if two 57kg girls are sitting in it?

m=12kg
FA= 11N

a) Fg=FN
mg=FN
12(9.8)=FN
118N=FN=Fg

Fg=118N

b) FA=Ff; constant vel.
FK=FA=11N

Fk=μKFN
11N= μK(118N)
μK=11N/118N
μK=0.093

c)m= 12kg + 2(57kg)= 126kg

Fg=FN
mg=FN
126(9.8)=FN
1234.8N=FN


m=126kg
FN=1234.8N
FK=FA=?
im stuck here..
 
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xdeanna said:
A 12kg toboggan is pulled along at a constant velocity on a horizontal surface by a horizontal force of 11N.
a) What is the force of gravity on the toboggan?
b) What is the coefficient of friction?
c) How much horizontal force is needed to pull the toboggan at a constant velocity if two 57kg girls are sitting in it?

m=12kg
FA= 11N

a) Fg=FN
mg=FN
12(9.8)=FN
118N=FN=Fg

Fg=118N

b) FA=Ff; constant vel.
FK=FA=11N

Fk=μKFN
11N= μK(118N)
μK=11N/118N
μK=0.093

c)m= 12kg + 2(57kg)= 126kg

Fg=FN
mg=FN
126(9.8)=FN
1234.8N=FN


m=126kg
FN=1234.8N
FK=FA=?
im stuck here..

You have the coefficient of friction from part b. You can use this value to find the force of kinetic friction acting on the toboggan+kids.

And because the tobaggon must move at a constant velocity, the net force must be zero. Thus, like you wrote, Fa = Fk.
 
Ahalp said:
You have the coefficient of friction from part b. You can use this value to find the force of kinetic friction acting on the toboggan+kids.

And because the tobaggon must move at a constant velocity, the net force must be zero. Thus, like you wrote, Fa = Fk.

omg i feel stupid now :|
thanks lol
 

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