The acceleration due to gravity on the planet. A is 9 times the acceleration due to the gravity on planet B. A man Jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B ?

The acceleration due to gravity on the planet. A is 9 times the accele

1.	The acceleration due to gravity on the planet. A is 9 times the acceleration due to the gravity on planet B. A man Jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B ?
Answer» <html><body><p>`2/3m` <br/>`2/9m`<br/>18 m <br/><a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a> m</p>Solution :`implies ` According to law of conservation of <a href="https://interviewquestions.tuteehub.com/tag/mechanical-2780" style="font-weight:bold;" target="_blank" title="Click to know more about MECHANICAL">MECHANICAL</a> energy . <br/> Kinetic energy of planet = Potential energy <br/> For planet A : <br/> `1/2 mv_A^2 = mg_(A) h_A ` <br/> For planet B: <br/> `1/2 mv_B^2 = mg_Bh_B` <br/> Suppose both planets having same orbital velocity <br/> `v_A =v_B implies1/2 mv_A^2 =1/2 mv_B^2` <br/> `:. g_A h_A = mg_B h_B` <br/> `:. h_B = (g_A) /(g_B) h_A` <br/> `= ((9g_B)/(g_B)) <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 2` <br/> `= 9xx 2 = 18 m`</body></html>