Rolling down a ramp problem A solid sphere rolls down a ramp of height of 0.7m, let go with no initial speed. How fast does it go at the bottom? Young's modulus question 103kg is hung from the bottom of a steel rod which is initially 2.00000m and 1.00 cm in diameter. What will the length of the steel rod be after the mass has been added? Young's modulus for this steel is 342M Pa (megapascals). String vibration problem A string with a tension of 400.0N hits a 3rd harmonic with a frequency of 300Hz. If the string has a length of 40.0cm, then what is the mass of the vibrating portion of the string