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

Answer 1

To determine the direction in which the block will move, we need to calculate the resultant force in both the north-south and east-west directions.

Forces Acting:

• Allie: 18 N (North)
• Bill: 14 N (East)
• Chris: 23 N (South)
• Debra: 20 N (West)

North-South Forces:

• North (positive direction): 18 N (Allie)
• South (negative direction): 23 N (Chris)

Net North-South Force: \( 18 , \text{N (North)} - 23 , \text{N (South)} = -5 , \text{N} \) (Resulting force is directed South)

East-West Forces:

• East (positive direction): 14 N (Bill)
• West (negative direction): 20 N (Debra)

Net East-West Force: \( 14 , \text{N (East)} - 20 , \text{N (West)} = -6 , \text{N} \) (Resulting force is directed West)

Result:

The net force is 5 N to the South and 6 N to the West. Therefore, the block will move to the South and West.

So, the correct response is: south and west.