Four friends push on the same block in different directions. Allie pushes on the block to the north with a force of 18 N. Bill pushes on the block to the east with a force of 14 N. Chris pushes on the block to south with a force of 23 N. Debra pushes on the block to the west with a force of 20 N. Assuming it does not move vertically, in which directions will the block move?(1 point) Responses south and east south and east north and west north and west south and west south and west north and east north and east

Answer 1

To determine the direction in which the block will move, we can analyze the net forces acting on it in the north-south and east-west directions.

1. North-South Direction:

   • Allie pushes north with 18 N.
   • Chris pushes south with 23 N.
   • Net force in the North-South direction: \( F_{NS} = 18 , \text{N (north)} - 23 , \text{N (south)} = -5 , \text{N} \)
   • This indicates a net force of 5 N to the south (since the result is negative).

2. East-West Direction:

   • Bill pushes east with 14 N.
   • Debra pushes west with 20 N.
   • Net force in the East-West direction: \( F_{EW} = 14 , \text{N (east)} - 20 , \text{N (west)} = -6 , \text{N} \)
   • This indicates a net force of 6 N to the west (since the result is negative).

The resulting forces show that the block has a net force of 5 N to the south and 6 N to the west. Therefore, the block will move south and west.

So the correct response is: south and west.