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)
north and west
south and east
south and west
north and east
The block will move in the direction of the resultant force.
To find the resultant force, we can break down the forces into their north-south and east-west components.
For the north-south direction, the net force will be 18 N (Allie's force) - 23 N (Chris's force) = -5 N.
For the east-west direction, the net force will be 14 N (Bill's force) - 20 N (Debra's force) = -6 N.
The negative sign indicates the direction of the force. Therefore, the block will move in the south and west directions.
So, the correct answer is: south and west.
To determine the direction in which the block will move, we need to determine the net force acting on the block in the horizontal (east-west) direction and the vertical (north-south) direction.
Horizontal direction:
The total force acting in the horizontal direction is the algebraic sum of the forces acting in that direction. In this case, Bill is pushing the block to the east with a force of 14 N, and Debra is pushing the block to the west with a force of 20 N. Since these forces are acting in opposite directions, we subtract the smaller force from the larger force to find the net force in the horizontal direction:
Net force in the horizontal direction = 20 N - 14 N = 6 N
Vertical direction:
The total force acting in the vertical direction is the algebraic sum of the forces acting in that direction. In this case, Allie is pushing the block to the north with a force of 18 N, and Chris is pushing the block to the south with a force of 23 N. Since these forces are acting in opposite directions, we subtract the smaller force from the larger force to find the net force in the vertical direction:
Net force in the vertical direction = 23 N - 18 N = 5 N
Based on the net forces in each direction, the block will move in the direction of the net force. Therefore, the block will move:
- 6 N to the west (horizontal direction)
- 5 N to the north (vertical direction)
So, the block will move in the north and west direction.
To determine the direction in which the block will move, we need to consider the net force acting on the block. The net force is the vector sum of all the individual forces acting on the block.
In this case, Allie is pushing the block to the north with a force of 18 N, and Chris is pushing the block to the south with a force of 23 N. Since both forces are in opposite directions, they will cancel each other out to some extent.
Similarly, Bill is pushing the block to the east with a force of 14 N, and Debra is pushing the block to the west with a force of 20 N. Again, these forces are in opposite directions and will also cancel each other out to some extent.
Now, we need to determine the net force in the north-south direction and the net force in the east-west direction.
Net force in the north-south direction = 23 N (Chris pushing to the south) - 18 N (Allie pushing to the north) = 5 N to the south.
Net force in the east-west direction = 14 N (Bill pushing to the east) - 20 N (Debra pushing to the west) = -6 N to the west.
Since there is a net force of 5 N to the south and a net force of -6 N to the west, the block will move in the direction of the net force, which is south and west.
Therefore, the correct answer is south and west.