Initial and Final Momentum Calculation of an Object

Given:
- Mass of the object (m) = 100 kg
- Initial velocity (u) = 5 m/s
- Final velocity (v) = 8 m/s
- Time taken (t) = 6 sec

Formula:
- Momentum (p) = mass (m) * velocity (v)

Step 1: Calculate the Initial Momentum (p_initial)
The initial momentum of an object can be calculated using the formula:

p_initial = m * u

Substituting the given values:

p_initial = 100 kg * 5 m/s
p_initial = 500 kg·m/s

Therefore, the initial momentum of the object is 500 kg·m/s.

Step 2: Calculate the Final Momentum (p_final)
The final momentum of an object can be calculated using the formula:

p_final = m * v

Substituting the given values:

p_final = 100 kg * 8 m/s
p_final = 800 kg·m/s

Therefore, the final momentum of the object is 800 kg·m/s.

Conclusion:
- The initial momentum of the object is 500 kg·m/s.
- The final momentum of the object is 800 kg·m/s.

The momentum of an object is the product of its mass and velocity. In this case, we are given the mass of the object as 100 kg and the initial velocity as 5 m/s. Using the formula for momentum, we can calculate the initial momentum of the object as 500 kg·m/s.

Similarly, we are given the final velocity of the object as 8 m/s. By substituting the values into the formula, we can calculate the final momentum of the object as 800 kg·m/s.

It is important to note that momentum is a vector quantity, meaning it has both magnitude and direction. However, in this case, the direction of the velocity is not specified, so we are only calculating the magnitude of the momentum.