A heat engine working according to Carnot cycle with 1 mole of air as a working fluid. The gas expands isothermally from 200 ° C, 500 Pa, 7.865 m to 393.25 Pa, 10 m ?. Then it expands adiabatically to 222.915 Pa and 15 m³. After that it compresses isothermally to a particular values ​​of pressure and volume. And finally it returns to its initial state adiabatically. Take Cp / Cy for air as 1.4, calculate the heat absorbed, heat rejected, net work done and the engine efficiency.​

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Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?

The dipole moment of the water molecule (h2o) is 6.17x10^-30 c.m. consider a water molecule located at the origin whose dipole moment p points in the +x-direction. a chlorine ion ( of charge-1.60x10^-19c , is located at x=3.00x10^-9m . assume that is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used. a) find the magnitude of the electric force that the water molecule exerts on the chlorine ion. b) what is the direction of the electric force. -x-direction or +x-direction c) is this force attractive or repulsive?