Questions $22-24$

Note: Figure not drawn to scale.

The elliptical orbit of a comet is shown above. Positions $1$ and $2$ are, respectively, the farthest and nearest positions to the Sun, and at position $1$ the distance from the comet to the Sun is $10$ times that at position $2.$

$22.$ At position $2,$ the comet's kinetic energy is

$($A$)$ the same as at position $1$

$($B$)$ less than at position $1$

$($C$)$ at its maximum value for the orbit

$($D$)$ at its minimum value for the orbit, but greater than zero

$($E$)$ equal to zero

$23.$ What is the ratio $\frac{v_1}{v_2}$ of the speed of the comet at position $1$ to the speed at position $2?$

$($A$)\frac{1}{100}$

$($B$)\frac{1}{10}$

$($C$)1$

$($D$)10$

$($E$)100$

$24.$ What is the ratio $\frac{F_1}{F_2}$ of the force on the comet at position $1$ to the force on the comet at position $2?$

$($A$)\frac{1}{100}$

$($B$)\frac{1}{10}$

$($C$)1$

$($D$)10$

$($E$)100$