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
Ball B will hit the ground first. Here's why: 1. Ball B (String): When the string holding Ball B is cut, the tension in the string immediately drops to zero. The only force acting on Ball B is gravity, which pulls it downwards. Therefore, Ball B begins to accelerate downwards instantly with an acceleration equal to the acceleration due to gravity (g). 2. Ball A (Spring): Before the cut, the spring is stretched by the weight of Ball A, exerting an upward force equal to mg (where m is the mass of the ball and g is the acceleration due to gravity) to keep it in equilibrium. When the suspension point of the spring is cut, the spring is still attached to Ball A and is still stretched by the same amount at that instant. This means the spring continues to exert an upward force of mg on Ball A. The forces acting on Ball A immediately after the cut are gravity (mg downwards) and the spring force (mg upwards). The net force on Ball A is mg - mg = 0. Therefore, Ball A's initial acceleration is zero. Since Ball B starts accelerating downwards immediately at g, while Ball A has an initial acceleration of 0, Ball B will begin to fall first and reach the ground before Ball A. Ball B