Question

While watching the clouds pass by, you notice a European swallow

Answer 1

Answer:

magnitude of angular momentum of the coconut after t = 1 s is

$L = 1930.4 kg m^2/s$

Explanation:

Since it is dropped at the instant when it is at overhead position

so we will have

$v_x = 6.61 m/s$

now vertical speed of the coconut after t = 1 s

$v_y = 0 - gt$

$v_y = -9.8 m/s$

now its displacement in x direction is given as

$x = 6.61 (1) = 6.61 m$

height of the coconut after t = 1 s

$y = 21.4 - \frac{1}{2}gt^2$

$y = 21.4 - \frac{1}{2}(9.81)(1^2)$

$y = 16.5 m$

now angular momentum is given as

$L = \vec r \times m\vec v$

now we have

$L = (6.61 \hat i + 16.5 \hat j)\times (11.1)(6.61 \hat i - 9.81\hat j)$

$L = -719.8 \hat k - 1210.6\hat k$

so magnitude of angular momentum of the coconut after t = 1 s is

$L = 1930.4 kg m^2/s$