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Work-Energy Scaling


A particle of mass moves along a straight line with initial speed . A force of magnitude pushes the particle a distance along the direction of its motion.
assume that the particle's mass is increased to 3M.
B.)By what multiplicative factor does the initial kinetic energy increase, and by what multiplicative factor does the work done by the force increase (with respect to the case when the particle had a mass )
If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1.
You should enter the two factors separated by a comma.
this is what i think:
to find i must use this formula: 1/2*m*v^2
to find , i must use this formula: W=f*d
okay, now to find r_k: 1/2*M*v^2 = 3M (cancel everything and get only 3)
now to find r_w:
<-- i get 0, is this correct?
i'm pretty sure i'm doing it incorrectly, but i dont know how to correct it. can someone help?

^_^:
what does Rk and Rw correspond? does Rk or Rw ask for the 3M part or the M part??
Please type out the question exactly how you read it. This doesn't make any sense otherwise.

^_^:
i copied the whole thing (it's online,so i just copied and pasted). but R_K is kinetic energy multiplicative factor and R_w is tk work multiplicative factor
edit: i just figured it out, thanks anyways

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