An astronaut in her space suit has a mass of 87.0 kg. her tether loses its attachment to her spacecraft while she is on a spacewalk. initially at rest (with respect to her spacecraft) she throws her oxygen tank, which has a mass of 12.0 kg, away from her spacecraft with a speed of 8.00 m/s to propel her back towards it. (a) determine the maximum distance she can be from the craft and still return withn 2.00 min( the amount of time the air in her helmet remains breathable). (b) explain in terms of newton's laws of motion why this strategy works.

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Sort the images based on whether there's a force of attraction or repulsion between the magnets shown. attraction repulsion