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

Question
Asked Sep 22, 2019

Two objects of different mass start from rest, are pulled by the same magnitude net force, and are moved through the same distance. The work done on object A is 500 J.  After the force has pulled each object, object A moves twice as fast as object B.

How much work is done on object B? 

What is the kinetic energy of object A after being pulled? 

What is the kinetic energy of object B after being pulled?    

What is the ratio of the mass of object A to the mass of object B? 

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Expert Answer

Step 1
Forces acting
two clifferent masses
mA#ma) i eual (Fa=fa),
and thefor diaplacement is also egusl.
(dA=da). But their final velocty
de laton is VA = 2 Vg
Inilal velocity of bot object a zero.
Tnitial kinetic enery of bo abjects
KA,Halka,iltal O
work done on obsect A, WA
500 J
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Forces acting two clifferent masses mA#ma) i eual (Fa=fa), and thefor diaplacement is also egusl. (dA=da). But their final velocty de laton is VA = 2 Vg Inilal velocity of bot object a zero. Tnitial kinetic enery of bo abjects KA,Halka,iltal O work done on obsect A, WA 500 J

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Step 2
Parta)
Work clone =(force). (displacement)
work done on object I.
Wa
) =FA, and deda
FA.dA
Wa
WA
= |500 J
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Parta) Work clone =(force). (displacement) work done on object I. Wa ) =FA, and deda FA.dA Wa WA = |500 J

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Step 3
Past (b)
The principle of work and kinetic
Energy states that the wok done
by the Aum of all forces actfn
Partfcle eguals the Change
n the kinetic ene
am a
AK WA
KA, inal KA,l
WA
KAdinal-D 500J
S00 J
1
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Past (b) The principle of work and kinetic Energy states that the wok done by the Aum of all forces actfn Partfcle eguals the Change n the kinetic ene am a AK WA KA, inal KA,l WA KAdinal-D 500J S00 J 1

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