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excel000
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Homework Statement
A 1000kg plane is trying to make a forced landing on the deck of a 2000kg barge at rest on the surface of a calm sea. The only frictional force to consider is between the plane's wheels and the deck, and this braking force is constant and equal to a quarter of the the plane's weight. What mus the minimum length of the barge be, in order that the plane can stop safely on deck, if the plane touches down just at the rear end of the deck with a velocity of 50m/s towards the front of the barge?
Homework Equations
F=ma
m1v1 +m2v2 = m1v1' + m2v2'
The Attempt at a Solution
first i found the friction force
Ff=1/2mg
=1/2(1000kg)(9.8)
Ff=2450N
then i found the acceleration of the plane
F=ma
-2450/1000=a
a=-2.45m/s^2
then i used kinematics to find the displacement
V2^2 = V1^2 + 2ad
0 = 50^2 + 2(-2.45)d
d=510m
i don't know if this is the right answer, but since this is a question from a momentum assignment, is there a step involving momentum that i missed?