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An 11 kg monkey climbs up a massless rope that runs overa frictionless tree limb

ID: 1681149 • Letter: A

Question

    An 11 kg monkey climbs up a massless rope that runs overa frictionless tree limb and back down to a 21 kg package on theground. (a) What is the magnitude of the least acceleration the monkeymust have in order to lift the package off the ground? Assume that after the package has been lifted, the monkeystops its climb and holds onto the rope. (b) What is the monkey's acceleration? (c) What is the tension in the rope?           An 11 kg monkey climbs up a massless rope that runs overa frictionless tree limb and back down to a 21 kg package on theground. (a) What is the magnitude of the least acceleration the monkeymust have in order to lift the package off the ground? Assume that after the package has been lifted, the monkeystops its climb and holds onto the rope. (b) What is the monkey's acceleration? (c) What is the tension in the rope?      

Explanation / Answer

F=ma 21kg(10m/s2)=11kg(a) (10 for gravity) a=19.1
b) 0
c) 19.1(11)=210N or 21(10)=210N
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