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)
Responses
855 N to the south and 759 N to the west
855 N to the south and 759 N to the west
795 N to the south and 855 N to the west
795 N to the south and 855 N to the west
855 N to the north and 795 N to the east
855 N to the north and 795 N to the east
795 N to the north and 855 N to the east
795 N to the north and 855 N to the east
Responses
855 N to the south and 759 N to the west
855 N to the south and 759 N to the west
795 N to the south and 855 N to the west
795 N to the south and 855 N to the west
855 N to the north and 795 N to the east
855 N to the north and 795 N to the east
795 N to the north and 855 N to the east
795 N to the north and 855 N to the east
Answers
GPT-4o mini
To determine the total north-south and east-west net forces acting on the crate, we need to calculate the resultant forces in each direction:
1. **North-South Forces**:
- Force pushing north: 960 N
- Force of friction (south): 105 N
The net north-south force is calculated as:
\[
\text{Net North-South Force} = \text{North Force} - \text{South Friction} = 960 \, \text{N} - 105 \, \text{N} = 855 \, \text{N} \text{ (to the north)}
\]
2. **East-West Forces**:
- Force pushing east: 875 N
- Force of friction (west): 80 N
The net east-west force is calculated as:
\[
\text{Net East-West Force} = \text{East Force} - \text{West Friction} = 875 \, \text{N} - 80 \, \text{N} = 795 \, \text{N} \text{ (to the east)}
\]
After calculating, we find:
- The total north-south net force is **855 N to the north**.
- The total east-west net force is **795 N to the east**.
Based on the responses given, none of the options reflect the answers derived above. The correct net forces should be:
- **855 N to the north** (not south)
- **795 N to the east** (not west)
It seems there might be an error in the available choices. Please double-check the answer alternatives.
1. **North-South Forces**:
- Force pushing north: 960 N
- Force of friction (south): 105 N
The net north-south force is calculated as:
\[
\text{Net North-South Force} = \text{North Force} - \text{South Friction} = 960 \, \text{N} - 105 \, \text{N} = 855 \, \text{N} \text{ (to the north)}
\]
2. **East-West Forces**:
- Force pushing east: 875 N
- Force of friction (west): 80 N
The net east-west force is calculated as:
\[
\text{Net East-West Force} = \text{East Force} - \text{West Friction} = 875 \, \text{N} - 80 \, \text{N} = 795 \, \text{N} \text{ (to the east)}
\]
After calculating, we find:
- The total north-south net force is **855 N to the north**.
- The total east-west net force is **795 N to the east**.
Based on the responses given, none of the options reflect the answers derived above. The correct net forces should be:
- **855 N to the north** (not south)
- **795 N to the east** (not west)
It seems there might be an error in the available choices. Please double-check the answer alternatives.