If a force of 10 n along+x direction is acting on a object. what other force can be used to balance this force?

A frictional force of 10N on the opposite direction can be used to balance the given force.

Explanation:

The net force is the sum of all forces acting on the object in different directions (x,y):

 (1)    

Where represents the net force, m is the mass and a is the acceleration.

 (2)

is the sum of the forces that are in the x direction, for this particular case has to be equal to zero to be balanced.

So a force with the same magnitude but opposite direction is needed (-x).

Hence, a frictional force of 10N in the opposite direction can be used to balance the given force.

hello some parts of your question is missing below is the complete question

A 60.0 kg archer standing on a friction-less ice shoots a 100g arrow at a speed of 80.0 m/s to the right .When the arrow is released, how does the the force on the arrow (by the bow) compare to the force on the archer (by the bow)?

Answer : The force on the arrow is larger than the force on the archer because the arrow has a higher final velocity

Explanation:

we can compare The force on the arrow  to the force on the archer by using the final velocities of the archer and the arrow ,hence The force on the arrow is larger than the force on the archer because the arrow has a higher final velocity and this is according to Newton's law which states for a every action there is an equal reaction i.e the force applied on the arrow will be the opposite of the force on the archer