A $20 k g$ ball is thrown upwards with a speed of $6 m / s$ . Find its potential energy when it reaches the highest point. Also, find the maximum height it reaches $(g = 9.8 m s^{- 2})$ .

0.22 m, 88.2 J

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0.45 m, 176.4 J

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0.9 m, 264.6 J

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1.8 m, 352.8 J

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Solution

The correct option is D $1.8 m, 352.8 J$
Using $3^{r d}$ Equation of motion
$v^{2} = u^{2} - 2 g h$
$\Rightarrow 0 = 6^{2} - 2 \times 9.8 \times h$
$\Rightarrow h = 1.837 m (a p p r o x .)$

Potential Energy at highest point $= m g h$
$= 20 \times 9.8 \times 1.837$
$= 360 J$

So, there is $n o t$ any option exactly matching. But, for the given options, $(D)$ is the most suitable

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A 20 kg ball is thrown upwards with a speed of 6m/s. Find its potential energy when it reaches the highest point. Also, find the maximum height it reaches (g=9.8 ms−2).

The correct option is D 1.8 m,352.8 JUsing 3rd Equation of motionv2=u2−2gh⇒0=62−2×9.8×h⇒h=1.837 m (approx.)Potential Energy at highest point =mgh=20×9.8×1.837=360 JSo, there is not any option exactly matching. But, for the given options, (D) is the most suitable

A $20 k g$ ball is thrown upwards with a speed of $6 m / s$ . Find its potential energy when it reaches the highest point. Also, find the maximum height it reaches $(g = 9.8 m s^{- 2})$ .