The radius of Venus (from the center to just above the atmosphere) is \( 6050 \mathrm{~km}\left(6050 \times 10^{3} \mathrm{~m}\right) \), and its mass is \( 4.9 \times 10^{24} \mathrm{~kg} \). An object is launched straight up from just above the atmosphere of Venus. (a) What initial speed is needed so that when the object is far from Venus its final speed is \( 4000 \mathrm{~m} / \mathrm{s} \) ? \( v_{\text {initial }}=\square \mathrm{m} / \mathrm{s} \) (b) What initial speed is needed so that when the object is far from Venus its final speed is \( 0 \mathrm{~m} / \mathrm{s} \) ? (This is called the "escape speed.") \( v_{\text {escape }}=\square \mathrm{m} / \mathrm{s} \)
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