Question

Find velocity when the kinetic energy is 144 j and mass is 4.5 kg

Answer 1

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Answer 2

Step-by-step explanation:

`\underline{ \underline{ \text{Given}}} :`

• Kinetic energy ( K.E ) = 144 J
• Mass ( m ) = 4.5 kg

`\underline{ \underline{ \text{To \: find}}} :`

• Velocity ( v )

`\underline{ \underline {\text{Solution}}} :`

`\boxed{ \sf{Kinetic \: energy \: ( \: K.E) = (1)/(2) \: m {v}^(2) }}`

⤑
`\tt{144 = (1)/(2) * 4.5 * {v}^(2) }`

⤑
`\tt{144 = \frac{4.5 \: {v}^(2) }{2}}`

⤑
`\tt{4.5 \: {v}^(2) = 144 * 2}`

⤑
`\tt{4.5 \: {v}^(2) = 288}`

⤑
`\tt{ {v}^(2) = (288)/(4.5)}`

⤑
`\tt{ {v}^(2) = 64}`

⤑
`\tt{v = √(64)}`

⤑
`\tt{v = \sqrt{( {8)}^(2) } }`

⤑
`\tt{v = 8}` m s⁻¹

`\boxed{ \boxed{ \underline{ \tt{ ⟿ Our \: final \: answer : \boxed{ \tt{ \: 8 \: m \: {s}^( - 1) }}}}}}`

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