This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's how to complete the problem: Step 1: Identify the given values from your work. Heat added, Q = 53.88 J Mass of gold ball, m = 4.0 × 10^-3 kg Specific heat capacity of gold, c_gold = 1.29 × 10^2 J/kg·K Step 2: State the formula for heat transfer. The formula for heat transfer is: Q = mc T where Q is the heat added, m is the mass, c is the specific heat capacity, and T is the change in temperature. Step 3: Substitute the known values into the formula and solve for T. 53.88 J = (4.0 × 10^-3 kg) · (1.29 × 10^2 J/kg·K) · T First, calculate the product of mass and specific heat capacity: (4.0 × 10^-3) · (1.29 × 10^2) = 4.0 · 1.29 · 10^-3+2 = 5.16 · 10^-1 = 0.516 J/K Now, substitute this back into the equation: 53.88 J = (0.516 J/K) · T T = 53.88 J0.516 J/K T = 104.4186 K The change in temperature is 104.42 K. That's 2 down. 3 left today — send the next one.