Answer: the heat energy produced in the process is approxi 23 cal
Step-by-step explanation:
Potential Energy = mass × acceleration due to gravity × height
Given:
Mass of the ball (m) = 500 g = 0.5 kg
Acceleration due to gravity (g) = 9.8 m/s^2 (approximate value on Earth)
Time taken (t) = 2 seconds
Since the ball falls freely under gravity, we can use the equation for distance traveled during free fall:
Height (h) = (1/2) × g × t^2
Plugging in the values, we get:
Height (h) = (1/2) × 9.8 × (2)^2 = 19.6 m
Now, let's calculate the potential energy lost:
Potential Energy = mass × acceleration due to gravity × height
Potential Energy = 0.5 kg × 9.8 m/s^2 × 19.6 m
Potential Energy = 96.04 J
To convert this into calories, we divide by the conversion factor:
Heat Energy = Potential Energy / (1 cal = 4.186 J)
Heat Energy = 96.04 J / 4.186 J
Heat Energy ≈ 23 cal
correct option is O 23 cal.