Question

is a child pulls 20n east on a box, a child pulls with 18n north on a box a child pulls 27n south on the box and a child pulls with 40 n west on the box what is the net force

Answer 1

To find the net force on the box, subtract the forces acting in opposite directions for each axis, and then use the Pythagorean theorem to calculate the magnitude of the net force, which is approximately 21.93 N.

Step-by-step explanation:

The student's question involves calculating the net force acting on a box with multiple forces applied to it in different directions. To calculate net force, we must consider both the magnitude and direction of the forces. The forces can be broken down into components along the north-south and east-west axes.

For the east-west axis, we have:

• 
  
• 20 N east
• 
  
• 40 N west

For the north-south axis, we have:

• 
  
• 18 N north
• 
  
• 27 N south

The net force in the east-west direction is 20 N - 40 N = -20 N (the negative sign indicates west direction). The net force in the north-south direction is 18 N - 27 N = -9 N (the negative sign indicates south direction).

To find the magnitude of the overall net force, we can use the Pythagorean theorem:

Net force magnitude = √((-20 N)^2 + (-9 N)^2)

= √(400 + 81)

= √481

= 21.93 N (approximately)

The direction of this net force can be calculated using trigonometric functions, but the question only asks for the net force magnitude.