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)

1 answer

The block will move in the direction that has the net force acting on it. To find the net force, we can break the given forces into their horizontal and vertical components:

Allie pushes to the north with a force of 18 N, so the vertical component is 18 N.
Bill pushes to the east with a force of 14 N, so the horizontal component is 14 N.
Chris pushes to the south with a force of 23 N, so the vertical component is -23 N.
Debra pushes to the west with a force of 20 N, so the horizontal component is -20 N.

Now we can calculate the net horizontal and vertical forces:

Sum of horizontal forces = 14 N - 20 N = -6 N
Sum of vertical forces = 18 N - 23 N = -5 N

The net force acting on the block is (-6 N, -5 N), which means it will move in the direction opposite to the net force. Therefore, the block will move towards the southwest direction.