Directions: For each scenario below: 1) complete the LOL Diagram 2) write an energy conservation equation 3) solve the problem. Be sure to show all work, identify where Eg=0, and include units in your final answer. Circle or box your final answer.

A physics student decides to go bungee jumping off of a 45 m platform. A bungee cord with a spring constant k=254.8 N/m brings the student to a stop at the bottom of his motion by stretching 15 m. What is the mass of the student?

A roller coaster cart that has a mass of 735 kg sits against a spring that is compressed by 4.5 m. At the start of the ride, the spring is released, and the cart is launched horizontally reaching a speed of 11.2 m/s. After launching the cart, 900 J of energy are dissipated due to friction. What is the spring constant of the spring?

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

a cold ice-tea.

pour in room temperature or cold water. cover the pitcher and refrigerate. steep white or green tea for 6 to 8 hours; steep black or oolong tea for 8 to 12 hours.jun 28, 2015