A 0.42 kg soccer ball is initially moving at 2 m/s. A soccer player kicks the ball, exerting a constant 40 N force in the same direction as the ball's motion. Over what distance must her foot be in contact with the ball to increase the ball's speed to 6 m/s? A block of ice with mass 2 kg slides down a frictionless inclined plane that slopes at an angle of 37° below the horizontal. If the block of ice starts from rest, what is its speed after moving a distance of 0.75?

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.