Aball of mass 3.0 kg is tied to the end of a 75-cm length of string. the ball and string are swung in a circle in a vertical plane at constant speed v, which is the minimum speed necessary to keep the string taut at all times. the center of the circle is above the floor. suddenly, the string is released at the instant the ball is at point p, located half way from the top to bottom on the descending arc. after what span of time does the ball hit the floor?

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.