Write down the total energy (potential and elastic) of a hanging cable made up of three weightless springs connecting two objects of mass m1 and m2 the end points of the cable are (x0, , 1) and (x3, y3) = (3,1). the masses are located at (x1, y1) and (x2, y2). the springs have hooke's constants k01, k12, k23 and natural lengths l01, l12 and l23. the equilibrium position of the cable is obtained by minimising the total energy of the system. formulate the problem mathematically to solve for the equilibrium position (x, y).

Which type of bond is found between the atoms of a molecule? a. metallic b. delocalized electron c. covalent d. ionic

Waves that cause the most damage during an earthquake are a. surface waves c. s waves b. p waves d. ocean waves

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?