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)
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.
To determine the direction in which the block will move, we need to consider the net force acting on the block in each direction.
Let's break down the forces acting on the block:
- Allie pushes to the north with a force of 18 N (upward force)
- Bill pushes to the east with a force of 14 N (rightward force)
- Chris pushes to the south with a force of 23 N (downward force)
- Debra pushes to the west with a force of 20 N (leftward force)
Since the block does not move vertically (up or down), we can ignore the vertical forces (from Allie and Chris).
To determine the net horizontal force, we subtract the force applied in one direction from the force applied in the opposite direction. In this case, we have:
Net horizontal force = Force applied in the east direction - Force applied in the west direction
= 14 N - 20 N
= -6 N
The negative sign indicates that the net horizontal force is in the west direction (opposite of the force applied by Debra).
Therefore, the block will move in the west direction, as there is a net force of 6 N acting in that direction.
To determine the direction in which the block will move, we need to calculate the net force acting on the block. Net force is the vector sum of all the individual forces acting on an object.
In this case, we have forces in four different directions: north, east, south, and west. To simplify the calculations, we can consider the forces in the north and south directions as positive and negative values, respectively. Similarly, we can consider the forces in the east and west directions as positive and negative values, respectively.
The net force in the north and south direction can be calculated by subtracting the south force from the north force:
Net force in the north-south direction = 18 N - 23 N = -5 N
Similarly, the net force in the east and west direction can be calculated by subtracting the west force from the east force:
Net force in the east-west direction = 14 N - 20 N = -6 N
Since the net force in the north-south direction is negative and the net force in the east-west direction is also negative, the block will move in the south and west directions, respectively.
Therefore, the block will move diagonally towards the southwest direction.