A boy releases his balloon, which slowly rises into the sky. if the balloon has a diameter of 20.0 cm when the child releases it, what is its diameter at a height of a) 1,000 m, b) 2,000 m, and c) at 5,000 m? assume that the balloon is very flexible and that you can neglect the surface tension

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.