If the 5-N force and the 12-N force form a 90 degree angle, what is the magnitude of the force acting in the direction of the dashed arrow

Explanation:

Kindly see attached file for your reference

Step one:

given data

the horizontal component of the force= 12N

the vertical component of the force= 5N

The dashed arrow represents the hypotenuse of the triangle, hence the resultant of the force system.

By implication of this, we will use the Pythagoras theorem to solve for the resultant force

Step two:

The crate will move in the left direction with a force of 15 N

Explanation:

Balanced force is defined as the force that gets cancelled out when equal forces are acting in the opposite direction. The net force on the system comes out to be 0.

Unbalanced force is defined as the force which does not get cancelled out because unequal forces act on the system in opposite direction. The motion of the object is in the direction of net force.

According to the question:

A crate is being pushed 10 N to the right.

Another force is being applied of amount 25 N to the left.

Net force acting on the object = 25 - 10 = 15 N (to the left)

Hence, the crate will move in the left direction with a force of 15 N