What is the momentum of a two-particle sys- tem composed of a 1300 kg car moving east at 100 m/s and a second 1300 kg car mov- ing west at 35 m/s? Let east be the positive direction.

Answer in units of kg · m/s

p1•v1 –p2•v2 = 1300•100 – 1300•35 = =9.75•10^4 kg•m•s^-1

To calculate the momentum of a two-particle system, we need to find the individual momenta of each particle and sum them together.

The momentum (p) of an object can be calculated by multiplying its mass (m) by its velocity (v), using the equation:

p = m * v

Let's calculate the momentum for each car:

Car 1:
Mass (m1) = 1300 kg
Velocity (v1) = 100 m/s

Car 2:
Mass (m2) = 1300 kg
Velocity (v2) = -35 m/s (since it is moving west)

Now let's calculate the momenta:

Momentum of car 1 (p1) = m1 * v1 = 1300 kg * 100 m/s = 130,000 kg·m/s (east)

Momentum of car 2 (p2) = m2 * v2 = 1300 kg * (-35 m/s) = -45,500 kg·m/s (west)

Finally, sum the two momenta together:

Total momentum (p) = p1 + p2 = 130,000 kg·m/s + (-45,500 kg·m/s) = 84,500 kg·m/s

Therefore, the momentum of the two-particle system is 84,500 kg·m/s.

To calculate the momentum of a two-particle system, you need to find the individual momenta of each particle and then add them together.

The momentum of an object is calculated by multiplying its mass by its velocity. So, for the first car:

Mass of the first car, m1 = 1300 kg
Velocity of the first car, v1 = 100 m/s

The momentum of the first car, p1, is given by:
p1 = m1 * v1

Similarly, for the second car:

Mass of the second car, m2 = 1300 kg
Velocity of the second car, v2 = -35 m/s (since it's moving west, we take the negative sign)

The momentum of the second car, p2, is given by:
p2 = m2 * v2

Now, you can calculate the individual momenta of each car and add them together to find the total momentum of the system:

p_total = p1 + p2

Substituting the values, we get:

p_total = (m1 * v1) + (m2 * v2)

p_total = (1300 kg * 100 m/s) + (1300 kg * -35 m/s)

Calculating this expression will give you the total momentum of the two-car system in units of kg·m/s.