Jogger A, with a mass of 55kg, is traveling
6.00m at 3.45 m/s in the positive x-direction.
Jogger B, with a mass of 62kg, is traveling
3.00m at 4.23 m/s in the positive x-direction.
Jogger C, with a mass of 72kg, is traveling
5.00m in the negative x-direction at 4.75 m/s .
What is the total momentum of the three
joggers?
To find the total momentum of the three joggers, we need to calculate the momentum of each jogger and then add them together.
The momentum (p) of an object is calculated by multiplying its mass (m) by its velocity (v). Mathematically, it can be expressed as:
p = m * v
Let's calculate the momentum of each jogger first.
For Jogger A:
Mass (m1) = 55 kg
Velocity (v1) = 3.45 m/s
Momentum of Jogger A (p1) = m1 * v1
Now, calculate the momentum of Jogger B and Jogger C in a similar manner:
For Jogger B:
Mass (m2) = 62 kg
Velocity (v2) = 4.23 m/s
Momentum of Jogger B (p2) = m2 * v2
For Jogger C:
Mass (m3) = 72 kg
Velocity (v3) = -4.75 m/s (negative because it is in the opposite direction)
Momentum of Jogger C (p3) = m3 * v3
Now, we can find the total momentum by adding the individual momenta together:
Total Momentum = p1 + p2 + p3
Let's substitute the values we have:
Total Momentum = (m1 * v1) + (m2 * v2) + (m3 * v3)
After substituting the given values, you can calculate the total momentum.