Compared to a 400 kg plane flying at 5200 km/hr, how much momentum does a 2000 kg plane have at the same speed?
To calculate momentum, we need to use the formula:
Momentum = mass × velocity
In this case, we have two planes with different masses but the same velocity. The first plane has a mass of 400 kg and a velocity of 5200 km/hr, while the second plane has a mass of 2000 kg and the same velocity.
To find the momentum of the second plane, we use the formula:
Momentum = mass × velocity
Plugging in the values:
Momentum = 2000 kg × 5200 km/hr
However, we need to convert km/hr to m/s since momentum is typically measured in kg m/s. To do this, we use the conversion factor: 1 km/hr = 0.2778 m/s.
Converting the velocity of 5200 km/hr to m/s:
5200 km/hr × 0.2778 m/s1 km/hr ≈ 1444.16 m/s
Plugging in the converted velocity:
Momentum = 2000 kg × 1444.16 m/s
Now we can calculate the momentum:
Momentum = 2,888,320 kg m/s
Therefore, the momentum of the 2000 kg plane traveling at the same speed is 2,888,320 kg m/s.