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The weight of a person on a planet A is about half that on the earth. He can jump upto 0.4 m height on the surface of the earth. How high he can jump on the planet A?

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Question

The weight of a person on planet A is about half that on the earth. He can jump up to 0.4 m in height on the surface of the earth. How high he can jump on planet A?

Answer in Brief
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Solution

The weight of a person on a planet is half that on the earth,

WA = `1/2 "W"_"E"`

or mgA = `1/2 "mg_E"`

or `"g"_A = 1/2 "g"_E`

Now, as the person jumps, gain in potential energy remains the same.

So, mgAhA = mgE hE

∴ `"h"_A = ("g"_"E""h"_"E")/"g"_"A"`

= `("g"_"E" xx 0.4"m")/("g"_E/2)` (Using (I) nd hE = 0.4 m)

= 0.8m

(Using (i) and hE = 0.4 m)

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Chapter 11: Work and Energy - Short Answer Questions [Page 69]

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NCERT Exemplar Science Exemplar [English] Class 9
Chapter 11 Work and Energy
Short Answer Questions | Q 16. | Page 69

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