A body of mass $2$ kg is thrown up vertically with a kinetic energy of $490$ J. If the acceleration due to gravity is $9.8 m$ $s^{- 2}$ , the height at which the kinetic energy of the body becomes half of the original value is?

50

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25

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12.5

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10

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Solution

The correct option is C $12.5$ m
Conserving he energy, we get
$K E_{i} + P E_{i} = K E_{f} + P E_{f}$
$\Rightarrow 490 + 0 = (0.5 \times 490) + m g h$
$\Rightarrow h = (490 - 245) / (2 \times 9.8)$
$\Rightarrow h = 12.5 m$
Hence, correct answer is option $C$

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Similar questions

Q. A body of mass

2 k g

is thrown up vertically with kinetic energy of

490 J

. If

g = 9.8 m / s^{2}

, the height at which the kinetic energy of the body becomes half of the original values, is :

A body of mass 2 kg is thrown up vertically with K.E. of 490 joule. If the acceleration due to gravity is 9.8 $m / s^{2}$ , then the height at which the K.E. of the body becomes half its original value is given by

Q. A body of mass 2 kg is thrown up vertically with a KE of 490 J. If the acceleration due to gravity is

9.8 m s^{- 2}

the height at which the KE of the body becomes half of the original value is:

A body of mass 2 kg is thrown upward with an energy 490 J. The height at which its kinetic energy would become half of its initial kinetic energy will be $[g = 9.8 m / s^{2}]$

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A body of mass 2kg is thrown up vertically with a kinetic energy of 490J. If the acceleration due to gravity is 9.8m s−2, the height at which the kinetic energy of the body becomes half of the original value is?

The correct option is C 12.5mConserving he energy, we getKEi+PEi=KEf+PEf⇒490+0=(0.5×490)+mgh⇒h=(490−245)/(2×9.8)⇒h=12.5mHence, correct answer is option C

A body of mass $2$ kg is thrown up vertically with a kinetic energy of $490$ J. If the acceleration due to gravity is $9.8 m$ $s^{- 2}$ , the height at which the kinetic energy of the body becomes half of the original value is?

The correct option is C $12.5$ m
Conserving he energy, we get
$K E_{i} + P E_{i} = K E_{f} + P E_{f}$
$\Rightarrow 490 + 0 = (0.5 \times 490) + m g h$
$\Rightarrow h = (490 - 245) / (2 \times 9.8)$
$\Rightarrow h = 12.5 m$
Hence, correct answer is option $C$