Question

A train of 2000 tonne moves in the latitude 60^oNorth. Find the magnitude of the lateral force that the train exerts on the rails if it moves with a velocity 54 km h^-1.

• A. 2.4 × 10³ N
• B. 3.6 × 10⁴ N
• C. 3.6 × 10³ N
• D. 2.4 × 10⁴ N

Answer 1

Answer: (C)

3.6 × 10³ N

Answer 2

F = 2mv ω sin 600

= 2 × 2 × 10⁶ × $\frac{15 \times 2\pi}{24 \times 60 \times 60} \times \frac{\sqrt{3}}{2}$.

= 3.6 × 10³N.