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
To calculate the air resistance, we use the drag force formula. Step 1: Identify the given values and the formula for air resistance. The formula for air resistance (drag force) is: F_D = (1)/(2) v^2 C_D A Where: F_D is the air resistance (drag force) is the air density v is the velocity of the vehicle C_D is the coefficient of drag A is the frontal area Given values: Velocity (v) = 120\, km/hr Air density () = 2.123\, kg/m^3 Coefficient of drag (C_D) = 0.50 Frontal area (A) = 3.0\, m^2 Step 2: Convert the velocity to meters per second (m/s). v = 120\, km/hr × 1000\, m1\, km × 1\, hr3600\, s v = (120 × 1000)/(3600)\, m/s v = (120000)/(3600)\, m/s v = (100)/(3)\, m/s ≈ 33.333\, m/s Step 3: Substitute the values into the drag force formula. F_D = (1)/(2) × (2.123\, kg/m^3) × ((100)/(3)\, m/s)^2 × (0.50) × (3.0\, m^2) Step 4: Calculate the air resistance. F_D = (1)/(2) × 2.123 × ((10000)/(9)) × 0.50 × 3.0 F_D = 0.5 × 2.123 × 1111.111... × 0.5 × 3.0 F_D = 1769.166...\, N The air resistance is approximately 1769.17 N. Drop the next question.