Thermal properties of matter caluculation

  1. A squash ball of mass 46g is struck against a wall so it hits with a speed of 40m/s, and rebounds with a speed of 25m/s.
    Calculate the temperature rise (s.h.c. of rubber is 1600J/kg/K)

    This is fine. I use the equation:

    heat energy = mass x shc x temperature change

    (40 - 25) = 0.046 x 1600 x temperature change

    15/73.6 = temperature change

    temperature change = 0.2K

    Then it asks why is it unecessary to know the mass?

    And I cannot for the life of me think why. Is there another equation I'm supposed to know? Have I made a mistake? Am I overlooking something incredibly obvious?

    Any help/hints would be very much appreciated.

    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Astronuc

    Staff: Mentor

    The part of the solution (40-25) is not the heat energy. It's best to write units with the corresponding values.

    The 40 m/s - 25 m/s is simply the change in velocity (which is also the change in specific momentum). The change in energy is the change in kinetic energy and KE = 1/2 mv2. But looking at the righthand side one multiplies the mass * specific heat.

    If we deal with the specific kinetic energy and specific heat, we can eliminate mass from the equation. Thus

    [itex]\Delta[/itex]v2/2 = shc*[itex]\Delta[/itex]T
Know someone interested in this topic? Share this thead via email, Google+, Twitter, or Facebook

Have something to add?