Understanding the Concepts

* Momentum: Momentum is a measure of how much motion an object has. It's calculated by multiplying the object's mass by its velocity. (p = mv)

* Velocity: Velocity is the rate of change of an object's position, and it includes both speed and direction.

* Acceleration due to Gravity: On Earth, objects accelerate downwards due to gravity at approximately 9.8 m/s². This means their speed increases by 9.8 meters per second every second.

Calculations

1. Convert mass to kilograms: 200 g = 0.2 kg

2. Calculate the final velocity:

* Initial velocity (v₀) = 0 m/s (since it starts from rest)

* Acceleration (a) = 9.8 m/s²

* Time (t) = 5 s

* Using the formula: v = v₀ + at

* Final velocity (v) = 0 + (9.8 m/s²)(5 s) = 49 m/s

3. Calculate momentum:

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

* p = (0.2 kg) * (49 m/s) = 9.8 kg m/s

Answer: The momentum of the 200 g object after falling for 5 seconds is 9.8 kg m/s.