6
lesson pretestMultiple Choice

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Question 6 • Physics I

According to the work-energy theorem, the amount of work done can be determined using which formula?

Answer
A
cap w is equal to triangle cap k cap e is equal to 2 m open paren v sub i squared minus v sub f squared close paren
B
cap w is equal to triangle cap k cap e is equal to 1 half m open paren v sub i squared minus v sub f squared close paren
C
cap w is equal to triangle cap k cap e is equal to 2 m open paren v sub f squared minus v sub i squared close paren
D
cap w is equal to triangle cap k cap e is equal to 1 half m open paren v sub f squared minus v sub i squared close paren

Explanation

The work-energy theorem states that the net work equals the change in kinetic energy: W = ΔKE = KE_f − KE_i. Since kinetic energy is ½mv², this becomes W = ½m(v_f² − v_i²). That is choice D; the other formulas either reverse the change or use the wrong coefficient.

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