Question

find the magnitude and direction of resultant force as shown in figure above​

Answer 1

Explanation:

As per the provided inform in the given question, we have :

• 25 N of force is applied in left side and 45 N of force is applied in right side.

We are asked to calculate the magnitude and direction of resultant force.

Since, the two forces are acting in opposite directions, so the resultant force will be given by :

$\longmapsto \bf {F = F_1 - F_2 }$

• $\rm F_1$ is greater force.
• $\rm F_2$ is smaller force.
• F is resultant force.

Here, greater force is 45 N and smaller force is 25 N.

$\longmapsto \rm {F = 45 \; N - 25 \; N }$

$\longmapsto \bf {F = 20 \; N_{(in \; right \; side)} }$

Direction of the resultant force is right side because when two forces act in opposite directions, the direction of the force will be along the greater force.

∴ The magnitude of the resultant force is 20 N and direction is right side(east).

$\rule{200}2$

Explore More!!

● If two or more forces act in the same direction, forces add up, so the resultant force is the sum of all the forces.

$\longmapsto \bf {F = F_1 + F_2 + F_3 + \dots F_n }$

● If two forces act in opposite directions, the total force acting in the object will be the difference of the two forces .

$\longmapsto \bf {F = F_1 - F_2 }$

• $\rm F_1$ is greater force.
• $\rm F_2$ is smaller force.