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
Step 1: Convert the time from minutes to seconds. The echo is received seven minutes later, so the total time taken for the signal to travel to the planet and back is t = 7 minutes. t = 7 minutes × 60\ sminute = 420 s Step 2: Determine the total distance traveled by the signal. The distance between the Earth and the planet is given as d = 0.00000000063 m. The radar signal travels from Earth to the planet and then the echo travels back from the planet to Earth. Therefore, the total distance covered by the signal is twice the distance between the Earth and the planet. Total distance = 2 × d Total distance = 2 × 0.00000000063 m = 0.00000000126 m Step 3: Calculate the velocity of the signal. Velocity is calculated as total distance divided by total time. Velocity = Total distanceTotal time v = 0.00000000126 m420 s v = 3.0 × 10^-12\ ms The velocity of the signal is: 3.0 × 10^-12\ ms Last free one today — make it count tomorrow, or type /upgrade for unlimited.