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 calculate the kinetic energy of the ball just before it hits the ground. Formula: The kinetic energy (KE) of an object is given by the formula: KE = (1/2) × mass × velocity² To use this formula, we first need to find the velocity of the ball just before it hits the ground. We can use the following kinematic equation: v² = u² + 2as where: v = final velocity u = initial velocity a = acceleration (due to gravity, g ≈ 9.8 m/s²) s = distance (height) Step 1: Calculate the final velocity (v). The ball falls from rest, so its initial velocity (u) is 0 m/s. The acceleration (a) is the acceleration due to gravity, g = 9.8 m/s². The distance (s) is the height, 100 m. v² = (0 m/s)² + 2 × (9.8 m/s²) × (100 m) v² = 0 + 1960 m²/s² v² = 1960 m²/s² Step 2: Calculate the kinetic energy (KE). Now we can substitute the value of v² into the kinetic energy formula. Mass (m) = 8 kg. KE = (1/2) × m × v² KE = (1/2) × (8 kg) × (1960 m²/s²) KE = 4 kg × 1960 m²/s² KE = 7840 kg·m²/s² Step 3: State the final answer with the correct units. The unit kg·m²/s² is equivalent to Joules (J), the SI unit for energy. The kinetic energy of the ball just before it hits the ground is 7840 J. Send me the next one 📸