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» `2/3m` `2/9m` 18 m 6 m Solution :`implies ` According to law of conservation of MECHANICAL energy . Kinetic energy of planet = Potential energy For planet A : `1/2 mv_A^2 = mg_(A) h_A ` For planet B: `1/2 mv_B^2 = mg_Bh_B` Suppose both planets having same orbital velocity `v_A =v_B implies1/2 mv_A^2 =1/2 mv_B^2` `:. g_A h_A = mg_B h_B` `:. h_B = (g_A) /(g_B) h_A` `= ((9g_B)/(g_B)) XX 2` `= 9xx 2 = 18 m`