Question 22N.2.HL.TZ0.8

potential greater at Y ✓

«from $E=-\frac{\text{Δ}{V}_e}{\text{Δ}r}$» the potential increases in the direction opposite to field strength «so from X to Y»

OR

opposite to the direction of the field lines, «so from X to Y»

OR

«from $W=q∆V_e$» work done to move a positive charge from X to Y is positive «so the potential increases from X to Y» ✓

orbital radius $=6.4\times {10}^6+5.0\times {10}^5$ «$=6.9\times {10}^6$ m» ✓

$\text{KE}=\frac{1}{2}\times 8.0\times {10}^2\times \frac{6.67\times {10}^{-11}\times 6.0\times {10}^{24}}{6.9\times {10}^6}$  OR  $2.3\times {10}^{10}$ «J» ✓

Award [1] max for answers ignoring orbital height (KE = 2.5 × 10¹⁰ J).

change in PE $=6.67\times {10}^{-11}\times 6.0\times {10}^{24}\times 8.0\times {10}^2\left(\frac{1}{6.4\times {10}^6}-\frac{1}{6.9\times {10}^6}\right)=$ «$3.6\times {10}^9$ J» ✓

energy needed = KE + ΔPE = $2.7\times {10}^{10}$ «J» ✓

Allow ECF from 8(b)(i).