**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

where

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, , backward

So Newton's second law can be rewritten as

where

m = 50 kg

is the acceleration of the cart

And solving for , we find the force of friction:

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