An athlete can jump to a maximum height of 4 m on the surface of the Earth. Considering the s initial velocity for jumping, to what height can be jump from the surface of the moon? [Take, accelera tion due to gravity on earth (gE) as 9.8 m s-2 and acceleration due to gravity on the surface of moon 1/6th of acceleration due to gravity on earth
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Answer:
24
Step-by-step explanation:
If the athlete jumps with same velocity = v on the surface of the earth and the moon.
1/2 mv^2 = mg(e)h (e) = mg(m)h(m)
gm= 1/6 g(e)
mg(e)h(e) = mg(m)h(m)
h(m)= g(e)/g(m) h(e)
h(m)= ge / 1/6ge h(e)
h(m)= 6* 4 ....as given
Therefore h(m) = 24
Hope this helps!
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