Question

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

Answer 1

Answer:

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Answer 2

Explanation:

$\underline{ \underline{ \text{Given}}} :$

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

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

• Velocity ( v )

$\underline{ \underline {\text{Solution}}} :$

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

⤑ $\tt{144 = \frac{1}{2} \times 4.5 \times {v}^{2} }$

⤑ $\tt{144 = \frac{4.5 \: {v}^{2} }{2}}$

⤑ $\tt{4.5 \: {v}^{2} = 144 \times 2}$

⤑ $\tt{4.5 \: {v}^{2} = 288}$

⤑ $\tt{ {v}^{2} = \frac{288}{4.5}}$

⤑ $\tt{ {v}^{2} = 64}$

⤑ $\tt{v = \sqrt{64}}$

⤑ $\tt{v = \sqrt{( {8)}^{2} } }$

⤑ $\tt{v = 8}$ m s⁻¹

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

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