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  4. In a shotput event an athlete throws the shotput of mass 20 kg with an initial speed of 2 m s- 1 at 45o from a height 3m above ground. Assuming air resistance to be negligible and acceleration due to gravity to be 10 m s- 2 , what will be the kinetic energy of the shotput when it just reaches the ground ?

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Q. In a shotput event an athlete throws the shotput of mass $20 \, kg$ with an initial speed of $2 \, m \, s^{- 1} \, at \, 45^{o}$ from a height $3m$ above ground. Assuming air resistance to be negligible and acceleration due to gravity to be $10 \, m \, s^{- 2}$ , what will be the kinetic energy of the shotput when it just reaches the ground ?

NTA AbhyasNTA Abhyas 2020

Solution:

Using law of energy conservation,
$\left(T M E\right)_{i}=\left(T M E\right)_{f}\Rightarrow U_{i}+K_{i}=U_{f}+K_{f}$
$\Rightarrow 20\times 10\times 3+\frac{1}{2}\times 20\times 2^{2}=0+K_{i}\Rightarrow K_{f}=640 \, J$