6) A 500-N weight sits on the small piston of a hydraulic machine. The small piston has an area of 2.0 cm. If the large piston has an area of 40 cm", how much weight can the large piston support? Assume the pistons each have negligible weight. Show work. A) 25 N B) 500 N C) 10000 N D) 40000 N

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---

### Physics Problems and Solutions

#### Problem 6
A 500-N weight sits on the small piston of a hydraulic machine. The small piston has an area of \(2.0 \, \text{cm}^2\). If the large piston has an area of \(40 \, \text{cm}^2\), how much weight can the large piston support? Assume the pistons each have negligible weight. **Show work.**

A) 25 N  
B) 500 N  
C) 10000 N  
D) 40000 N  

#### Problem 7
An object floats with half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the object? The density of water is \(1000 \, \text{kg/m}^3\).

A) 1000 N  
B) 2000 N  
C) 4000 N  
D) It cannot be determined because we do not know the volume of the object.  

#### Problem 8
Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at \(1.0 \, \text{m/s}\). There is a 2.0 cm diameter constriction in the line. What is the speed of the fluid in this constriction?

A) 0.25 m/s  
B) 0.50 m/s   
C) 2.0 m/s  
D) 4.0 m/s  

#### Problem 9
Express \(-40^\circ C\) in \(^\circ F\). **Show work.**

A) \(-72^\circ F\)  
B) \(-54^\circ F\)  
C) \(-40^\circ F\)  
D) \(4.4^\circ F\)  

---

In the absence of any visual diagrams or graphs, the problems mainly involve theoretical and calculation-based questions related to physics and temperature conversion. Each question has multiple choice answers which require analytical and arithmetic approaches to solve.
Transcribed Image Text:Below is the transcription of the image content suitable for an educational website. --- ### Physics Problems and Solutions #### Problem 6 A 500-N weight sits on the small piston of a hydraulic machine. The small piston has an area of \(2.0 \, \text{cm}^2\). If the large piston has an area of \(40 \, \text{cm}^2\), how much weight can the large piston support? Assume the pistons each have negligible weight. **Show work.** A) 25 N B) 500 N C) 10000 N D) 40000 N #### Problem 7 An object floats with half its volume beneath the surface of the water. The weight of the displaced water is 2000 N. What is the weight of the object? The density of water is \(1000 \, \text{kg/m}^3\). A) 1000 N B) 2000 N C) 4000 N D) It cannot be determined because we do not know the volume of the object. #### Problem 8 Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at \(1.0 \, \text{m/s}\). There is a 2.0 cm diameter constriction in the line. What is the speed of the fluid in this constriction? A) 0.25 m/s B) 0.50 m/s C) 2.0 m/s D) 4.0 m/s #### Problem 9 Express \(-40^\circ C\) in \(^\circ F\). **Show work.** A) \(-72^\circ F\) B) \(-54^\circ F\) C) \(-40^\circ F\) D) \(4.4^\circ F\) --- In the absence of any visual diagrams or graphs, the problems mainly involve theoretical and calculation-based questions related to physics and temperature conversion. Each question has multiple choice answers which require analytical and arithmetic approaches to solve.
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