What is the momentum of a two-particle system composed of a 1400 kg car moving east at
90 m/s and a second 900 kg car moving west
at 95 m/s? Let east be the positive direction.
211500
To calculate the momentum of a two-particle system, you need to find the individual momenta of the two particles and then add them together.
The momentum of an object can be calculated using the formula:
Momentum = mass x velocity
For the first car:
Mass = 1400 kg
Velocity = 90 m/s
Momentum of the first car = 1400 kg x 90 m/s = 126,000 kg·m/s (eastward)
For the second car:
Mass = 900 kg
Velocity = -95 m/s (since west is the opposite direction)
Momentum of the second car = 900 kg x -95 m/s = -85,500 kg·m/s (westward)
Now, add the two momenta together:
Total momentum = 126,000 kg·m/s + (-85,500 kg·m/s) = 40,500 kg·m/s
Therefore, the momentum of the two-particle system is 40,500 kg·m/s to the east.
To find the momentum of a two-particle system, we need to calculate the momentum of each particle individually and then sum them up.
The momentum of an object is given by the equation:
momentum = mass * velocity
For the first car moving east, the mass is 1400 kg and the velocity is 90 m/s. Therefore, the momentum of the first car is:
momentum of first car = 1400 kg * 90 m/s
For the second car moving west, the mass is 900 kg and the velocity is -95 m/s. Note that the velocity is negative because it is moving in the opposite direction. Therefore, the momentum of the second car is:
momentum of second car = 900 kg * (-95 m/s)
Now, we can sum up the individual momenta to find the total momentum of the system:
Total momentum = momentum of first car + momentum of second car
Plugging in the values:
Total momentum = (1400 kg * 90 m/s) + (900 kg * (-95 m/s))
By calculating this expression, you will get the momentum of the two-particle system.