Two objects of different mass start from rest are pulled horizontally with negli

Question

Two objects of different mass start from rest are pulled horizontally with negligible friction by the same magnitude net force and moved through the same distance. The work done on object 1 is 4000 joules. After the force has pulled each object, object 1 is seen to move with half the speed of object 2. Answer the following

A) How much work is done by object 2?

B)What is the Kinetic energy of object 1 after being pulled?                       Explain

C) What is the kinetic energy of object 2 after being pulled?                      Explain

D) What is the ratio of the mass of object 1 to the mass of object 2?                      Explain AND show work

Explanation / Answer

a ) W = F.d   = 4000 J   ( F and d are same for both)

b) work done = mv^2 /2

v1 = sqrt(2x4000/m1) = sqrt(8000/m1)

c) v2   = sqrt(8000/m2)

d) v = at

and a = F/m

2 x v1 =v2

2 x Ft/m1    =Ft/m2

2m2 =m1

m1/m2 = 2

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