Two brothers are sitting on a wide bench on a carnival carousel. aiden sits at a distance r away from the center of the carousel. daniel sits at a distance 0.75r away from the center after the carousel begins moving in uniform circular motion, what is the ratio of daniels centripetal acceleration to aidens centripetal acceleration? a. 3: 4 b. 1: 1 c. 9: 16 d. 4: 1

Abeam of electrons with of wavelength of 7.5 x 10-6 m is incident on a pair of narrow rectangular slits separated by 0.75 mm. the resulting interference pattern is projected onto a screen 10.0 m from the slits. what is the separation of the interference maxima in the resulting interference pattern?

Drag each item into the proper state of matter category.

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)