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Question

Question: If momentum decreases by 20%, KE will decreases by...

If momentum decreases by 20%, KE will decreases by

A

40%

B

18%

C

36%

D

8%

Answer

36%

Explanation

Solution

∆KE = mv22m2(0.8v)2=0.36mv22\frac { \mathrm { mv } ^ { 2 } } { 2 } - \frac { \mathrm { m } } { 2 } ( 0.8 \mathrm { v } ) ^ { 2 } = 0.36 \frac { \mathrm { mv } ^ { 2 } } { 2 }

∴ decrease is 36%