Question

If the momentum of a body increases by 50%, its kinetic energy increases by
(1) 50%
(2) 100%
(3) 150%
(4) 125%

I NEED THE STEPS !​

Answer 1

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★ Gɪᴠᴇɴ ★

• Momentum of a body increases by 50%

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☯ Tᴏ Fɪɴᴅ ☯

• The increased K.E.

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✪ Sᴏʟᴜᴛɪᴏɴ ✪

↠ Pi = mv

↠ KE = ½mv²

↠ Pf = 3/2 mv

↠ v` = (3/2v)

→ KE = ½m(3/2v)²

→ KE = (½mv²) 9/4

→ KE = (9/4 - 1)

→ KE = 125%

★ K.E. increases by 125%

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