Question

At position A, the roller coaster will reach its maximum height, at 10m. Assuming there is no energy loss, write down the total energy (TE), potential energy (PE), and kinetic energy (KE) of the roller coaster at positions A, B, C, and D.  The mass of the roller coaster is 100kg, and acceleration due to gravity is rounded to be 10m/s². Discuss the aspects of energy conservation.

 

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Question

if Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2are A₁ and A₂, respectively. A force F₁ is exerted on piston 1. Rank the resultant force F₂ on piston 2 that results from the combinations of F₁, A₁, and A₂ given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only “>” or “=” symbols.

1. F₁ = 6.0 N; A₁ = 0.7 m²; and A₂ = 1.4 m²
2. F₁ = 3.0 N; A₁ = 0.7 m²; and A₂ = 0.35 m²
3. F₁ = 3.0 N; A₁ = 1.4 m²; and A₂ = 2.8 m²
4. F₁ = 6.0 N; A₁ = 0.35 m²; and A₂ = 1.4 m²
5. F₁ = 6.0 N; A₁ = 0.35 m²; and A₂ = 0.7 m²
6. F₁ = 3.0 N; A₁ = 1.4 m²; and A₂ = 0.7 m²

 

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