Question

Two classes are playing tug of war 5th period blue pulls with a force of 50N while 5th period red pulls with a force of 45N. What is the net force and who will win?

Answer 1

Answer:

NET FORCE IS 5N.

I THINK "B" WILL WIN THE GAME

Explanation:

$f_{net} = 50 - 45 = 5$

The Formula for Resultant Force:

The Resultant force formula is given by,

$f_{r} = f_{1} + f_{2} + f_{3}$

Where,

F1,F2,F3 are the forces acting in the same direction on a body.

If F2 is perpendicular to F1, then the resultant force formula is given as,

$f_{r} = \sqrt{ {f_{1}}^{2} + {f_{2}}^{2} }$

Notice that this is not merely the sum of the magnitudes of the forces. But the sum of the forces taken as vectors, which is much suitable. This is because vectors have both the magnitude and the direction which we need to consider while finding the sum.

Thus, according to the above equation, if an object is having no force, then the resultant force will also be zero. On the other hand, if an object is subject to only one force, then the resultant force will be equal to that force. Therefore we have to perform the vector sum of the forces, instead of the regular sum.

Solved Examples

Q.1: Let us have three forces as 50 N, 60 N and 20 N. These are acting on a body simultaneously. The direction of 20 N is opposite to the direction of the other two. Determine the resultant force.

Solution:

As given in the problem:

$f_{1} = 50$

$f_{2} = 60$

$f_{3} = - 20$

F3 force is negative because it is opposite to the other two forces

.

Resultant force can be computed by the given formula:

$f_{r} = f_{1} + f_{2} + f_{3}$

$f_{r} = 50 + 60 - 20$

$f_{r} = 90$

Answer 2

Answer:

NET FORCE IS 5N.

I THINK "B" WILL WIN THE GAME

Explanation:

The Formula for Resultant Force:

The Resultant force formula is given by,

Where,

F1,F2,F3 are the forces acting in the same direction on a body.

If F2 is perpendicular to F1, then the resultant force formula is given as,

Where,