A cart loaded with bricks has a total mass of 12.7 kg and is pulled at constant speed by
a rope. The rope is inclined at 22.5◦
above the horizontal and the cart moves 30.7 m on
a horizontal floor. The coefficient of kinetic
friction between ground and cart is 0.7
The acceleration of gravity is 9.8 m/s
2-How much work is done on the cart by the
rope?

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.