Vector V⃗ 1 is 6.8 units long and points along the negative x axis. Vector V⃗ 2 is 8.2 units long and points at 55 ∘ to the positive x axis. What are the x and y components of vector V⃗1? What are the x and y components of vector V⃗2? Determine the magnitude of the sum V⃗1+V⃗ 2. Determine the angle of the sum V⃗1+V⃗2.

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.