Question

1. 187 n 138 n 2. 43 n 64 n 3. 231 n 126 n 105 n 4. 12 n 21 n 5. how do you calculate net force when the forces are in opposite directions? enter text here. 6. how do you calculate net force when the forces are in the same direction? enter text here. 7. how can you tell if the forces are balanced or unbalanced? enter text here.

Explanation:

Step1: Determine the net force for each box

• Box 1:

The forces are in opposite directions. The net force \(F_{net}=F_{1}-F_{2}\), where \(F_{1} = 187N\) (right - direction) and \(F_{2}=138N\) (left - direction).
\(F_{net}=187 - 138=49N\) (to the right)

• Box 2:

The forces are in the same direction (left). The net force \(F_{net}=F_{1}+F_{2}\), where \(F_{1} = 43N\) and \(F_{2}=64N\)
\(F_{net}=43 + 64=107N\) (to the left)

• Box 3:

The forces are in opposite directions. The total force to the left \(F_{left}=126 + 105=231N\), and the force to the right \(F_{right}=231N\)
\(F_{net}=231-(126 + 105)=0N\)

• Box 4:

The forces are in the same direction (right). The net force \(F_{net}=F_{1}+F_{2}\), where \(F_{1} = 12N\) and \(F_{2}=21N\)
\(F_{net}=12+21 = 33N\) (to the right)

• Question 5:

When forces are in opposite directions, the net force \(F_{net}=\vert F_{1}-F_{2}\vert\), and the direction is the same as the larger force.

• Question 6:

When forces are in the same direction, the net force \(F_{net}=F_{1}+F_{2}\), and the direction is the same as the individual forces.

• Question 7:

If \(F_{net}=0\), the forces are balanced. If \(F_{net}
eq0\), the forces are unbalanced.

Answer:

1. \(49N\) (to the right)
2. \(107N\) (to the left)
3. \(0N\)
4. \(33N\) (to the right)
5. Subtract the smaller force from the larger force. The direction is the same as the larger force.
6. Add the magnitudes of the forces. The direction is the same as the individual forces.
7. If the net force is zero, the forces are balanced. If the net force is non - zero, the forces are unbalanced.