Question

Hi Friends !!
Object A has 4J of kinetic energy. Object B has twice the velocity of A but only 1/2 the mass. Therefore, the kinetic energy of object B will be:

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Answer 1

Aɴꜱᴡᴇʀ

$\huge\sf{\purple{KE=8J}}$

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Gɪᴠᴇɴ

• Kinetic energy of A = 4J &

• Object B has twice the velocity of A but only half the mass

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ᴛᴏ ꜰɪɴᴅ

Kinetic energy of object B

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Sᴛᴇᴘꜱ

Kinetic energy related with moving body can be found by

$\boxed{\sf{ \orange{\large{KE=\dfrac{1}{2}mv^2}}} }$

here m means mass and v means velocity

$\begin{lgathered} \leadsto\sf\dfrac{(KE)_A}{(KE)_B}=\dfrac{\cancel{\frac{1}{2}}m_A{v_A}^2}{\cancel{\frac{1}{2}}m_B{v_B}^2}\\ \\ \leadsto\sf\dfrac{4}{(KE)_B}=\dfrac{2}{4}\\ \\ \leadsto\sf {(KE)_B=\dfrac{4\times 4}{2}}\\ \\ \sf \dashrightarrow{\pink{\bf{\therefore KE=8J}}}\end{lgathered}$

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$