# Question #bcfc2

May 3, 2015

Here's my go:

Applying Newton's 2nd law up the mountain plane,

$m a = F - m g \sin \theta$

constant speed means that $a = 0$

$1 : 100$ means that the height increases by $1 k m$ for every $100 k m$ travelled up the plane of the mountain

So, $\sin \theta = \frac{1}{100}$

$P = F v \implies F = \frac{P}{v}$

$\implies 0 = \frac{P}{v} - m g \sin \theta$

$\implies P = m g v \sin \theta = 30000 \times 9.8 \times \left(\frac{30 \cdot 1000}{3600}\right) \times \frac{1}{100}$

$\implies P = 24500 \text{W" = 24.5 "kW}$