emoving a Stump A farmer wishes to remove a stump from a field by pulling it out with his tractor. Having removed many stumps before, he estimates that he will need 6 tons (12,000 pounds) of force to remove the stump. However, his tractor is only capable of pulling with a force of 7000 pounds, so he asks his neighbor to help. His neighbor’s tractor can pull with a force of 5500 pounds. Th
Removing a Stump A farmer wishes to remove a stump
from a field by pulling it out with his tractor. Having
removed many stumps before, he estimates that he will
need 6 tons (12,000 pounds) of force to remove the stump.
However, his tractor is only capable of pulling with a force of
7000 pounds, so he asks his neighbor to help. His neighbor’s
tractor can pull with a force of 5500 pounds. They attach
the two tractors to the stump with a 40° angle between the
forces, as shown in the figure.
(a) Assuming the farmer’s estimate of a needed 6-ton force
is correct, will the farmer be successful in removing the
stump?
(b) Had the farmer arranged the tractors with a 25° angle
between the forces, would he have been successful in
removing the stump?
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