The maximum and minimum distances of a comet | vedclass

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Question

(a) By conservation of angular momentum $mvr =$ constant
${v_{\min }} 	imes {r_{\max }} = {v_{\max }} 	imes {r_{\min }}$
${v_{\min }} = \frac{{60

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(a) By conservation of angular momentum $mvr =$ constant
${v_{\min }} 	imes {r_{\max }} = {v_{\max }} 	imes {r_{\min }}$
${v_{\min }} = \frac{{60 	imes 1.6 	imes {{10}^{12}}}}{{8 	imes {{10}^{12}}}} = \frac{{60}}{5} = 12\,m/s$

The maximum and minimum distances of a comet from the sun are $8 \times {10^{12}}\,m$ and $1.6 \times {10^{12}}\,m$. If its velocity when nearest to the sun is $60\, m/s$, what will be its velocity in $m/s$ when it is farthest

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