In the picture above the sphere is solid and has a mass of 4kg and a radius of 0.01m. The ramp has a length of 6m and is angled 30 degree from the floor. The moment of inertia for a solid sphere is 2 over 5 m r squared. If the sphere starts from rest and there is enough friction to keep it from slipping, then what is the linear speed at the bottom of the incline?

15. give an example for some particles or waves that are moving faster than light in everyday life 16. what is a laser? 17. what is an oscilloscope? 18. what does it means practically that nothing is faster than light in vacuum? 19. what is vacuum?

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.)

While you are driving in the lane next to the curb on a multi-lane road the car on your left suddenly moves toward you lane. they are about toy crash into your front fender. you