You are a member of an alpine rescue team and
must get a box of supplies, with mass 3.00 kg, up
an incline of constant slope angle 30.0 " so that it
reaches a stranded skier who is a vertical distance
3.20 m above the bottom of the incline. there is
some friction present, the kinetic coefficient of
friction is 6.00x10-. since you can't walk up the
incline, you give the box a push that gives it an
initial velocity then the box slides up the incline.
slowing down under the forces of friction and
gravity. take acceleration due to gravity to be 9.81
m/s. use the work energy theorm to calculate the minimum speed v that you must give the box.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?