Did you know?
Did you know that the instantaneous velocity of a stone can be calculated using Newton's laws of motion? In a scenario where a rubber catapult is used to launch a stone with a mass of 5g (or 0.005kg) and is stretched through a distance of 7cm by an average force of 7.0N, the stone's instantaneous velocity when released can be determined. By applying Newton's second law, which states that force equals mass multiplied by acceleration, the acceleration experienced by the stone can be calculated: acceleration = force / mass = 7.0N / 0.005kg = 1400 m/s². Then, utilizing the equation for motion under constant acceleration, which states that final velocity equals initial velocity plus acceleration multiplied by time, and assuming the stone starts from rest, the instantaneous velocity can be determined when time is neglected: final velocity = √(2 * acceleration * distance) = √(2 * 1400 m/s² * 0.07 m) ≈ 18.84 m/s.
