The force of friction is 300 N
Explanation:
We can solve the problem by applying Newton's second law of motion: in fact, the net force acting on an object is equal to the product between the mass of the object and its acceleration. So we can write
[tex]\sum F = ma[/tex]
where
[tex]\sum F[/tex] is the net force acting on the object
m is its mass
a is its acceleration
For the cart in this problem, we have two forces acting on it:
- The force of push, F = 500 N, forward
- The force of friction, [tex]F_f[/tex], backward
So Newton's second law can be rewritten as
[tex]F-F_f = ma[/tex]
where
m = 50 kg
[tex]a=4 m/s^2[/tex] is the acceleration of the cart
And solving for [tex]F_f[/tex], we find the force of friction:
[tex]F_f = F-ma=500-(50)(4)=300 N[/tex]
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