Find the work done by the vector field ⟨5x+yx, x2+4⟩ on a particle moving along the boundary of the rectangle 0≤x≤2,0≤y≤3 in the counterclockwise direction. (the force is measured in newtons, length in meters, work in joules=(newton-

When you turn on a battery-operated device, an electrical circuit is

On a day when the barometer reads 75.23 cm, a reaction vessel holds 250 ml of ideal gas at 20 celsius. an oil manometer ( ρ= 810 kg/m^3) reads the pressure in the vessel to be 41 cm of oil and below atmospheric pressure. what volume will the gas occupy under s.t.p.?

(a) if the pressure in gas is doubled while its volume is held constant, by what factor do (i) vrms and (ii) change? (b) is it possible to boil water at room temperature (20oc) without heating it? explain.