1.39: Past-paper question 5

4PM1/2R/June/2024 — Question 5 · 6 marks

The force F\displaystyle F newtons between two magnetic poles is given by the formula
F=320r2F = \frac{3}{20r^2}
where r\displaystyle r is the distance, in centimetres, between the poles.
The distance between the two poles is increasing at a constant rate of 0.7 cm/s
Find the rate of change of F\displaystyle F, in newtons/s to 3 significant figures, when the distance between the poles is 2.8 cm
(6)