posted by David .
The speed of the head of a redheaded woodpecker reaches 3.4 m/s before impact with the tree. The mass of the head is 0.060 kg and the average force on the head during impact is 5.0 N.
a)Find the acceleration of the head (assuming constant acceleration)
(b) Find the depth of penetration into the tree.
(c) Find the time it takes for the head to come to a stop.
average F = change in momentum / time
5 = (3.4-0)(.06)/t
t = .0408 seconds (part c)
a = change in speed/time = 3.4/.0408 = 83.3m/s^2 (part a)
d = (1/2) a t^2
= .5 (83.3)(.0408)^2
= .0693 meters
= about 7 cm or over two inches, remarkable