In a running event, a sprinter does 5.5 105 J of work and her internal energy decreases by 8.8 105 J.
(a) Determine the heat transferred between her body and surroundings during this event. _____J
To determine the heat transferred between the sprinter's body and surroundings during the event, we can use the First Law of Thermodynamics, which states that the change in internal energy (ΔU) of an object is equal to the heat (Q) added to or removed from the object plus the work (W) done on or by the object:
ΔU = Q + W
In this case, the sprinter's internal energy decreases, so we can rewrite the equation as:
-8.8 * 10^5 J = Q + 5.5 * 10^5 J
Now, solve for Q:
Q = -8.8 * 10^5 J - 5.5 * 10^5 J
Q = -14.3 * 10^5 J
Therefore, the heat transferred between the sprinter's body and surroundings during the event is -14.3 * 10^5 J. The negative sign indicates that heat is transferred from the sprinter's body to the surroundings.