1. Determine the Net Force:
* Calculate the difference in weight:
* Weight of 350 g mass = (0.35 kg)(9.8 m/s²) = 3.43 N
* Weight of 300 g mass = (0.30 kg)(9.8 m/s²) = 2.94 N
* Net force = 3.43 N - 2.94 N = 0.49 N
* The net force acts on the total mass:
* Total mass = 0.35 kg + 0.30 kg = 0.65 kg
2. Calculate the Acceleration:
* Use Newton's Second Law: F = ma
* Acceleration (a) = F/m = 0.49 N / 0.65 kg = 0.75 m/s²
3. Determine the Distance Traveled:
* Use the kinematic equation: d = v₀t + (1/2)at²
* Initial velocity (v₀) = 0 (starting from rest)
* Time (t) = 2 seconds
* Acceleration (a) = 0.75 m/s²
* Distance (d) = (0)(2) + (1/2)(0.75 m/s²)(2 s)² = 1.5 meters
Therefore, the masses will travel a distance of 1.5 meters from their rest position in 2 seconds.