Question

two workers are pushing on the same large crate. one worker pushes east with a force of 875 n, while the other worker pushes north with a force of 960 n. friction between the crate and the floor is directed west with a force of 80 n and south with a force of 105 n. assuming drag due to air resistance is negligible, what are the total north - south net forces and the total east - west net forces acting on the crate, causing it to accelerate across the floor? (1 point)

795 n to the south and 855 n to the west

855 n to the south and 759 n to the west

795 n to the north and 855 n to the east

855 n to the north and 795 n to the east

Explanation:

Step1: Calculate north - south net force

North - south forces: north - pushing force is $960$ N and south - pushing friction is $105$ N. Net force $F_{ns}=960 - 105$.
$F_{ns}=855$ N (north - direction as north - pushing force is greater).

Step2: Calculate east - west net force

East - west forces: east - pushing force is $875$ N and west - pushing friction is $80$ N. Net force $F_{ew}=875 - 80$.
$F_{ew}=795$ N (east - direction as east - pushing force is greater).

Answer:

D. 855 N to the north and 795 N to the east