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)

Question

Responses

795 N to the south and 855 N to the west
795 N to the south and 855 N to the west

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

855 N to the south and 759 N to the west
855 N to the south and 759 N to the west

855 N to the north and 795 N to the east

Answer 1

To find the net forces acting on the crate, we need to separately calculate the net forces in the north-south direction and the east-west direction.

North-South Forces:

1. Force to the north: 960 N (pushing force by the second worker)
2. Force to the south: 105 N (friction force)

Net North-South Force: \[ \text{Net Force}{NS} = \text{Force}{\text{north}} - \text{Force}{\text{south}} \] \[ \text{Net Force}{NS} = 960, \text{N} - 105, \text{N} = 855, \text{N} \text{ to the north} \]

East-West Forces:

1. Force to the east: 875 N (pushing force by the first worker)
2. Force to the west: 80 N (friction force)

Net East-West Force: \[ \text{Net Force}{EW} = \text{Force}{\text{east}} - \text{Force}{\text{west}} \] \[ \text{Net Force}{EW} = 875, \text{N} - 80, \text{N} = 795, \text{N} \text{ to the east} \]

Summary of Net Forces:

• North-South Net Force: 855 N to the north
• East-West Net Force: 795 N to the east

Thus, based on the calculations, there seems to have been an error in interpreting the direction of forces initially provided. The correct net forces are:

• Net North-South force: 855 N to the north
• Net East-West force: 795 N to the east

However, aligning with the responses provided:

• The correct choice based on the calculated net forces is 855 N to the north and 795 N to the east.

None of the provided answers match this conclusion perfectly, so you might need to confirm the available responses, but this is how you would calculate the forces accurately.