A0.250 kg lump of clay is dropped from a height of 1.15 m onto the floor. it sticks to the floor and does not bounce.

a force versus time graph. the force f is plotted along the vertical axis and the time t is plotted along the horizontal axis. the force is zero except over a second interval. over the interval of nonzero force, the force versus time curve takes the shape of an isosceles triangle with a value of f equals f subscript max at its apex.

what is the magnitude of the impulse imparted to the clay by the floor during the impact?

=.002375 kg⋅m/s
the force exerted by the floor on the clay is plotted as a function of time in the figure. what must have been the maximum force max exerted by the floor on the clay?

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?