You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-mm-high hill, then descends 18 mm to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.2 mm and that a loaded car will have a maximum mass of 420 kgkg. For safety reasons, the spring constant should be 13 %% larger than the minimum needed for the car to just make it over the top. a) what spring constant (k) should you specify ?
b) What is the maximum speed of a 350 kg car if the spring iscompressed the full amount.

Alinearly polarized electromagnetic wave has an average intensity of 196 w/m^2. this wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). polarizer a is oriented with its transmission axis at an angle of θ_1=20.8∘ with the incident electric field. polarizer b has its axis at an angle of θ_2=63.0∘ with the incident electric field. what is the average intensity of the wave after it passes through polarizer a? what is the average intensity of the wave after it passes through polarizer b? suppose that the two polarizers a and b are interchanged. what would the average intensity be after passing through both polarizers?

What would be the strength of earth's gravitational field at a point where an 80.0 kg astronaut would experience a 80% reduction in weight

What happens when you slowly pulled the carboard?