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)

Question

Responses

north and east
north and east

south and west
south and west

north and west
north and west

south and east

Answer 1

To determine the net force acting on the block, we can analyze the forces being applied in both the north-south and east-west directions.

Forces in the north-south direction:

• Allie pushes to the north with 18 N.
• Chris pushes to the south with 23 N.

Net force in the north-south direction: \[ \text{Net North-South Force} = 18 , \text{N (north)} - 23 , \text{N (south)} = -5 , \text{N} \] This indicates a net force of 5 N to the south.

Forces in the east-west direction:

• Bill pushes to the east with 14 N.
• Debra pushes to the west with 20 N.

Net force in the east-west direction: \[ \text{Net East-West Force} = 14 , \text{N (east)} - 20 , \text{N (west)} = -6 , \text{N} \] This indicates a net force of 6 N to the west.

Final Result: The net forces indicate that the block will move to the south and west.

So, the correct response is south and west.