A small asteroid of mass M is near a big asteroid of mass 3M. There are no other gravitating objects nearby. The magnitudes of the accelerations of the big and small asteroids are aBig and asmall, respectively. What is the ratio of the magnitudes of the accelerations (aBig/ asmall)?

The magnitude of the amount of energy released by burning a fuel source, measured in energy per unit mass, is called its fuel value. note that the fuel value is the negative of the isobaric specific heat of combustion for the fuel. if all the energy obtained from burning 1.23 pounds of butane with a fuel value of 10.85 kcal/g is used to heat 128.0 kg of water at an initial temperature of 18.3 °c, what is the final temperature? note that 1 lb = 453.6 g.