a child throws a ball in a net where it gets stuck. Does the motion of this ball defy the law of conservation of momentum? explain

To determine whether the motion of the ball defies the law of conservation of momentum, we need to analyze the situation.

The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it. Momentum is calculated by multiplying an object's mass by its velocity. In this case, the ball thrown by the child gets stuck in a net, so we can consider the child-ball-net system as the isolated system.

When the child throws the ball, it has an initial momentum based on its mass and velocity. As the ball enters the net and becomes stuck, its velocity reduces to zero, but its mass remains the same. Therefore, the final momentum of the ball, after getting stuck, is zero.

Now, let's consider the momentum of the child. Initially, the child's momentum is zero as they're stationary. When the child throws the ball, they exert a force on the ball, resulting in an equal and opposite force exerted on the child. As a consequence, the child acquires momentum in the opposite direction to the ball's motion. This momentum of the child helps balance out the change in momentum of the ball.

Overall, the total momentum of the child-ball-net system is conserved. The initial momentum of the system is zero, and after the ball gets stuck, the final momentum is also zero. Hence, the motion of the ball does not defy the law of conservation of momentum.

To explain this further, you can use the following equation to calculate momentum:

Momentum (p) = mass (m) x velocity (v)

To verify conservation of momentum, sum up the initial momenta of all objects involved and compare it to the sum of the final momenta. If the values are equal, then momentum is conserved.