The position and linear momentum of a particles are r=(4i+5k)m and p=(8k)kgm/s. What is the angular momentum?
We can use the formula for angular momentum:
L = r x p
where "x" represents the cross product.
First, we need to express r and p in terms of their components:
r = 4i + 0j + 5k
p = 0i + 0j + 8k
(Note: We add "0j" for completeness, but it doesn't affect the calculation.)
Next, we can perform the cross product using the determinant method:
L = | i j k |
| 4 0 5 |
| 0 0 8 |
L = (0j - 5i) + (-8k - 0k) + (0i - 0j)
L = -5i - 8k
Therefore, the angular momentum is -5i - 8k kgm^2/s.