Question

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 west north and east south and east

Explanation:

Step1: Calculate net force in north - south direction

Forces in north - south direction: Allie (north, \(F_{n}=18\ N\)) and Chris (south, \(F_{s}=23\ N\)). Net force \(F_{y}=F_{s}-F_{n}=23 - 18=5\ N\) (south - direction).

Step2: Calculate net force in east - west direction

Forces in east - west direction: Bill (east, \(F_{e}=14\ N\)) and Debra (west, \(F_{w}=20\ N\)). Net force \(F_{x}=F_{w}-F_{e}=20 - 14 = 6\ N\) (west - direction).

Answer:

south and west