Initial and Final Momentum Calculation

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

Calculating Initial Momentum:
The momentum of an object is given by the formula:
Momentum (p) = mass (m) × velocity (v)

Substituting the given values:
Initial momentum (p1) = m × u = 100 kg × 5 m/s = 500 kg·m/s

Calculating Final Momentum:
Using the same formula:
Final momentum (p2) = m × v = 100 kg × 8 m/s = 800 kg·m/s

Explanation:
Momentum is a measure of an object's motion and is defined as the product of its mass and velocity. It is a vector quantity, which means it has both magnitude and direction.

The initial momentum of the object is calculated by multiplying the mass of the object (100 kg) by its initial velocity (5 m/s). This gives us an initial momentum of 500 kg·m/s.

The final momentum of the object is calculated in the same way, but using the final velocity (8 m/s) instead. Multiplying the mass by the final velocity gives us a final momentum of 800 kg·m/s.

The change in momentum can be calculated by subtracting the initial momentum from the final momentum:
Change in momentum (Δp) = p2 - p1 = 800 kg·m/s - 500 kg·m/s = 300 kg·m/s

In this case, the change in momentum is 300 kg·m/s. Since the time taken is given as 6 seconds, we can also calculate the average force acting on the object using the formula:
Average force (F) = Δp / t = 300 kg·m/s / 6 s = 50 N

So, the initial momentum of the object is 500 kg·m/s, and the final momentum is 800 kg·m/s. The change in momentum is 300 kg·m/s, and the average force acting on the object is 50 N.

Final momentum is 133.33×10^-³ Nm
initial momentum is 83.33×10^-³ Nm