Question

Physics Question Please answer this fast ​

Answer 1

$let, mass \: of \: object(m_o) = m\: kg \\ mass \: of \: earth(m_e) = 6 \times {10}^{24} \: kg \\ mass \: of \: moon(m_{m}) = 7.3 \times {10}^{22} \: kg \\ ball \: reaches \: height \: when\: thrown \\ from \: earth \\ = h_1 \: m \\ball \: reaches \: height \: when \: thrown \\ from \: moon\\ = h_2 \: m\\ F_g = \frac{Gm_om_e}{h_1} - (i) \\ F_g = \frac{Gm_om_m}{h_2} - (ii) \\ \blue{\mathfrak{\underline{\large{by \: {eq}^{n} \: (i) \: and \: (ii)}}}:} \\ \frac{Gm_om_e}{h_1} = \frac{Gm_om_m}{h_2} \\ \\ \frac{m_e}{h_1} = \frac{m_m}{h_2} \\ \\ \frac{h_1}{h_2} = \frac{m_e}{m_m} = \frac{6 \times {10}^{24} }{7.3 \times {10}^{22} } \\ \\ \boxed{\frac{h_1}{h_2} ≈ 0.82 \times {10}^{2} ≈ 82 \: m} \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$