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(20%) Problem 2: An objects speed is increased by a factor of three. > 50% Part (a) How does the objects momentum change? T

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Answer #1

When speed is increased by a factor of three,

New speed v'= 3v where v is the initial speed

a) Momentum P= mv

So new momentum P'= mv'= m*3v= 3 mv= 3P

So momentum increases by a factor of three

b) Kinetic Energy KE=m(v^2)/2

New Kinetic Energy KE'= m(v'^2)/2= m((3v)^2)/2= 9 m(v^2)/2= 9 KE

Therefore kinetic energy increases by a factor of 9

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