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
Hey Harriet, good to see you again. Here are the solutions to your questions: Question 1: An orange of mass 1.2 kg has a velocity of 10 m/s. Calculate its kinetic energy. Step 1: Identify the given values. Mass, m = 1.2 kg Velocity, v = 10 m/s Step 2: Use the formula for kinetic energy. The formula for kinetic energy (KE) is: KE = (1)/(2)mv^2 Step 3: Substitute the values into the formula and calculate. KE = (1)/(2) × (1.2 kg) × (10 m/s)^2 KE = (1)/(2) × 1.2 kg × 100 m^2/s^2 KE = 0.6 kg × 100 m^2/s^2 KE = 60 J The kinetic energy of the orange is 60 J. Question 2: If a piece of stone has a kinetic energy of 50 J and a mass of 1.2 kg, find its velocity. Step 1: Identify the given values. Kinetic Energy, KE = 50 J Mass, m = 1.2 kg Step 2: Use the formula for kinetic energy and rearrange it to solve for velocity. The formula for kinetic energy (KE) is: KE = (1)/(2)mv^2 To find velocity (v), rearrange the formula: 2KE = mv^2 v^2 = (2KE)/(m) v = sqrt((2KE)/(m)) Step 3: Substitute the values into the rearranged formula and calculate. v = sqrt(2 × 50 J)1.2 kg v = sqrt(100 J)1.2 kg v = sqrt(83.333... m)^2/s^2 v ≈ 9.1287 m/s The velocity of the stone is approximately 9.13 m/s. Send me the next one 📸