A 1.0 × 10³-kg plane is trying to make a forced landing on the deck of a 2.0 × 10³-kg barge at rest on the sur- face of a calm sea. The only frictional force to consider is between the plane's wheels and the deck; this braking force is constant and is equal to one-quarter of the plane's weight. What must the minimum length of the barge be for the plane to stop safely on deck, if the plane touches down just at the rear end of the deck with a velocity of 5.0 × 10' m/s toward the front of the barge?

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Chapter4: Newton's Laws Of Motion
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Problem 91AP: The board sandwiched between two other boards in Figure P4.91 weighs 95.5 N. If the coefficient of...
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32. A 1.0 X 10³-kg plane is trying to make a forced landing
on the deck of a 2.0 X 10³-kg barge at rest on the sur-
face of a calm sea. The only frictional force to consider
is between the plane's wheels and the deck; this braking
force is constant and is equal to one-quarter of the
plane's weight. What must the minimum length of the
barge be for the plane to stop safely on deck, if the plane
touches down just at the rear end of the deck with a
velocity of 5.0 × 10' m/s toward the front of the barge?
Transcribed Image Text:32. A 1.0 X 10³-kg plane is trying to make a forced landing on the deck of a 2.0 X 10³-kg barge at rest on the sur- face of a calm sea. The only frictional force to consider is between the plane's wheels and the deck; this braking force is constant and is equal to one-quarter of the plane's weight. What must the minimum length of the barge be for the plane to stop safely on deck, if the plane touches down just at the rear end of the deck with a velocity of 5.0 × 10' m/s toward the front of the barge?
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