A 3,000 kg truck is traveling 28 m/s through a rainstorm. At the end of its journey, it has collected 500 kg of water and is now moving 24 m/s. Was momentum conserved?
3000*28=? 3500*24
multiply each side and see if they are equal.
To determine if momentum was conserved in this situation, we need to calculate the initial momentum and final momentum of the truck.
The formula for momentum is given by:
Momentum = mass × velocity
Initial momentum = (mass of the truck) × (initial velocity)
= 3000 kg × 28 m/s
= 84,000 kg·m/s
Final momentum = (mass of the truck + mass of collected water) × (final velocity)
= (3000 kg + 500 kg) × 24 m/s
= 80,000 kg·m/s
Comparing the initial and final momentum:
Initial momentum (84,000 kg·m/s) does not equal final momentum (80,000 kg·m/s).
Therefore, momentum was not conserved in this situation.
To determine whether momentum was conserved in this scenario, we need to calculate the momentum of the truck before and after it collected the water.
The momentum of an object is calculated by multiplying its mass (m) by its velocity (v). Mathematically, momentum (p) can be expressed as:
p = m * v
Let's calculate the momentum of the truck before and after collecting the water:
Before collecting water:
Mass of the truck (m) = 3,000 kg
Velocity of the truck (v) = 28 m/s
Momentum before collecting water (p1) = m * v
= 3,000 kg * 28 m/s
= 84,000 kg*m/s
After collecting water:
Mass of the truck (m) = 3,000 kg + 500 kg (water collected) = 3,500 kg
Velocity of the truck (v) = 24 m/s
Momentum after collecting water (p2) = m * v
= 3,500 kg * 24 m/s
= 84,000 kg*m/s
Comparing the momentum before (p1) and after (p2) collecting water, we can see that both values are equal: 84,000 kg*m/s.
Since the momentum before and after collecting water is the same, we can conclude that momentum was conserved in this scenario.
Momentum conservation is one of the fundamental principles of physics, stating that the total momentum of a closed system remains constant if there are no external forces acting on it. In this case, no external forces were mentioned, so momentum was conserved.
a. M*V1 = 3000 * 28.
b. (M+500)*V2 = (3000+500) * 24
If a and b are equal, momentum is preserved.