A lumberjack pulls with a force of 100 N [N] on a rope attached to a tall tree. A second lumberjack pulls with a force of 80 N [E] on a rope attached to the same tree. In what direction is the net force acting on the tree?

Respuesta :

Answer:

toward the first lumber jack

Explanation:

the net force is greater toward this lumber jack

The net force acting on the tree will be 128.06 N and the direction is towards the first lumberjack.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

Given data;

Force applied by the first lumberjack, F₁ = 100 N [N]

Force applied by the second lumberjack ,F₂=80 N [E]

The net force acting on the tree is, F=?

Θ is the angle between the force applied by the two lumberjack

The net force acting on the tree is when both the forces are at the angle of 90° is found as;

[tex]\rm F ={\sqrt{F_1^2+F_2^2+2F_1F_2cos \theta }}\\\\ F = \sqrt{(100)^2 + (80)^2 + 2 \times 100 \times 80 \ cos 90^0 } \\\\ F = 128.06 \ N[/tex]

The value of the force of the first lumberjack is greater than the value of the force second lumberjack causing the direction towards the first lumberjack.

Hence, the net force acting on the tree will be 128.06 N and the direction is towards the first lumberjack.

To learn more about the force refer to the link;

https://brainly.com/question/26115859

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