Two objects of different mass start from rest, are pulled by thesame magnitude n

Question

Two objects of different mass start from rest, are pulled by thesame magnitude net force, and are moved through the same distance.The work done on Object A is 500J. After the force has pulled eachobject, object A moves twice as fast as object B.
1. How much work is done on object B?
2. What is the kinetic energy of object A after being pulled?
3. What is the kinetic energy of object B after being pulled?
4. What is ratio of the mass of object A to the mass of objectB?

any and all help will be greatly appreciated.

Explanation / Answer

a) 500J.same amount, since the force and distance are thesame in both, then work must be equal b) use the work-energy theorem: work = change in mechanical energy.Assuming that the objects are moved in an horizontal path (so thereis no change in potential energy) then ... work = change in kineticenergy. so kinetic energy = 500J c) the same as b. kinetic energy is 500J d) for object 1: m= 20 kg, K = 500 J use equation K = (1/2) mv^2 solve for v, this will give you the velocity for object 1. Sincethe problem says that object 1 is moving twice as fast as object2. then: velocity of object 2 = velocity of object 1 divided by2

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