A student drags a cart across the hallway and exerts a force of 200 N. If the ca

Question

A student drags a cart across the hallway and exerts a force of 200 N. If the cart has a mass of 50 kg and is being accelerated at 2 m/s2, what’s the coefficient of friction?
Can you please include formulas and details of how you set it up? A student drags a cart across the hallway and exerts a force of 200 N. If the cart has a mass of 50 kg and is being accelerated at 2 m/s2, what’s the coefficient of friction?
Can you please include formulas and details of how you set it up? A student drags a cart across the hallway and exerts a force of 200 N. If the cart has a mass of 50 kg and is being accelerated at 2 m/s2, what’s the coefficient of friction?
Can you please include formulas and details of how you set it up?

Explanation / Answer

here,
mass of cart = 50 Kg
acceleration = 2 m/s^2
Force = F = 200N

Writing Forces acting on cart :
Hoorizontal Direction:

F-Ff = ma
Ff = F - ma
Ff = 200 - 50*2
Ff = 100 N

Vertical Direction

N - mg = 0
Where,
N = Normal force

N = mg = 50*9.8
N = 490 N

as we know
Frictional Force = Ff = u N

u = Ff/N = 100/490
u = 0.20

The Coefficient of Friction will be 0.20

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