Question

the momentum of a body of mass 15 kg is 50 kg m/s find its kinetic energy
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Answer 1

Given:-

• Momentum of a body is 50 kg m/s.
• Mass of a body is 15 kg.

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To find:-

• It's kinetic energy.

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Solution:-

$\longmapsto \sf \: KE = \dfrac{(50 \: kgm {s}^{ - 1} )^2}{2(15 \: kg)}$

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$\longmapsto \sf \:KE = \dfrac{50 \: kgm {s}^{ - 1} \times 50 \: kgm {s}^{ - 1} }{30 \: kg}$

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$\longmapsto \sf \: KE = \dfrac{50 \times 50 \: {kg}^{2} {m}^{2} {s}^{ - 2} }{30 \: kg}$

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$\longmapsto \sf \:KE = \dfrac{2500 \: {kg}^{2} {m}^{2} {s}^{ - 2} }{30 \: kg}$

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$\longmapsto \sf \:KE = \dfrac{2500 \: kg {m}^{2} {s}^{ - 2} }{30}$

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$\longmapsto \sf \:KE = 83.33 \: kg {m}^{2} {s}^{ - 2}$

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$\longmapsto{\underline{\boxed{\purple{\sf{KE = 83.33 \: J}}}}}$

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Hence,

• the kinetic energy is 83.33 Joule.