Im stuck on question 5c. Heres the question
5. A post is driven into the ground by means of a blow from a pile-driver. The pile-driver falls
from rest from a height of 1.6 m above the top of the post.
(a) Show that the speed of the pile-driver just before it hits the post is 5.6 m s–1
. (2 marks)
The post has mass 6 kg and the pile-driver has mass 78 kg. When the pile-driver hits the top
of the post, it is assumed that the there is no rebound and that both then move together with
the same speed.
(b) Find the speed of the pile-driver and the post immediately after the pile-driver has hit the
post. (3 marks)
The post is brought to rest by the action of a resistive force from the ground acting for 0.06 s.
By modelling this force as constant throughout this time,
(c) find the magnitude of the resistive force, (4 marks)
so i got v=5.6 for a
u=5.2 ms-1 for b
i've checked the mark scheme and both of the answers are correct
however for c,
the mark scheme says
84 . 5.2 = F . 0.06 – 84g . 0.06
⇒ F = 8103.2 N
which i dont really understand.. is there a specific formula/equation that i need to use for that? from what i understand is that 84x5.2 is probably the magnitude of impulse, and Fx0.06 is because it is acting for 0.06 seconds, but i dont really get is why i have to times 84g by 0.06? and why is the whole thing put in that way?