A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal frictionless table. A circular frictionless wall forces the block to move in a circular path. Using gravity as 10m/s^2, calculate the vertical component of the net force on the block
A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal frictionless table. A circular frictionless wall forces the block to move in a circular path. Using gravity as 10m/s^2, calculate the vertical component of the net force on the block
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal frictionless table. A circular frictionless wall forces the block to move in a circular path. Using gravity as 10m/s^2, calculate the vertical component of the net force on the block.
![### Problem Description
A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal frictionless table. A circular frictionless wall forces the block to move in a circular path. Using gravity as \(10 \, \text{m/s}^2\), calculate the vertical component of the net force on the block.
### Diagram Description
The given diagram includes a side view and a top view of the setup:
- **Side View:**
- The block slides down a smooth, inclined ramp of height \( h = 0.2 \, \text{m} \).
- The path follows along a circular arc before reaching the point labeled \( P \).
- **Top View:**
- Once on the horizontal frictionless table, the block is constrained to move in a circular path by a smooth wall.
### Multiple Choice Options
The possible answers for the vertical component of the net force on the block are:
- Zero
- 1 N
- 2 N
- 3 N
- 4 N
- 5 N
- 6 N
- None of these
- Other (with an input field for a different value)
### Explanation:
To solve for the vertical component of the net force on the block, consider the following:
- The vertical forces acting on the block when it is on the horizontal table are gravity and the normal force from the table.
- Since the table is frictionless and horizontal, and the block's motion is circular in the horizontal plane, the net vertical force sums to zero as gravity is balanced by the normal force.
Therefore, the answer is:
**Zero**
### Answer Selection:
- [x] Zero
- [ ] 1 N
- [ ] 2 N
- [ ] 3 N
- [ ] 4 N
- [ ] 5 N
- [ ] 6 N
- [ ] None of these
- [ ] Other: ___](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f0787bb-1f84-49a3-ae5b-f5fa6271d00e%2F0463c8e2-d7cc-4023-b420-7103e209a4b8%2Fku2elek_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description
A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal frictionless table. A circular frictionless wall forces the block to move in a circular path. Using gravity as \(10 \, \text{m/s}^2\), calculate the vertical component of the net force on the block.
### Diagram Description
The given diagram includes a side view and a top view of the setup:
- **Side View:**
- The block slides down a smooth, inclined ramp of height \( h = 0.2 \, \text{m} \).
- The path follows along a circular arc before reaching the point labeled \( P \).
- **Top View:**
- Once on the horizontal frictionless table, the block is constrained to move in a circular path by a smooth wall.
### Multiple Choice Options
The possible answers for the vertical component of the net force on the block are:
- Zero
- 1 N
- 2 N
- 3 N
- 4 N
- 5 N
- 6 N
- None of these
- Other (with an input field for a different value)
### Explanation:
To solve for the vertical component of the net force on the block, consider the following:
- The vertical forces acting on the block when it is on the horizontal table are gravity and the normal force from the table.
- Since the table is frictionless and horizontal, and the block's motion is circular in the horizontal plane, the net vertical force sums to zero as gravity is balanced by the normal force.
Therefore, the answer is:
**Zero**
### Answer Selection:
- [x] Zero
- [ ] 1 N
- [ ] 2 N
- [ ] 3 N
- [ ] 4 N
- [ ] 5 N
- [ ] 6 N
- [ ] None of these
- [ ] Other: ___
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