Asolid cylinder has a mass of 1 kg and a radius of 0.1 m. starting from rest, the cylinder rolls down a ramp angels at 30 degree from the horizontal. the ramp is 1 m long and the cylinder rolls without slipping. how fast is it traveling parallel to the ramp at the moment it reached the bottom? g= 10 m/s^2 10 m/s
sqrt(10/3)
sqrt(10)
sqrt(20/3)
2sqrt10

After the near spacecraft passed mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid eros, the final destination for the mission. after getting close to eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 10^3 m) around the asteroid. so much propellant had been used that the final mass of the spacecraft while in circular orbit around eros was only 545 kg. the spacecraft took 1.04 days to make one complete circular orbit around eros. calculate what the mass of eros must be.

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

Which of these metals are magnetic?