Question 61: Work, Energy and Power & Circular Motion

Question

A train is moving with a speed of $$12 \mathrm{~m} / \mathrm{s}$$ on rails which are $$1.5 \mathrm{~m}$$ apart. To negotiate a curve radius $$400 \mathrm{~m}$$, the height by which the outer rail should be raised with respect to the inner rail is (Given, $$g=10 \mathrm{~m} / \mathrm{s}^2)$$ :

Accepted Answer

$$	an 	heta=\frac{v^2}{R g}=\frac{12 	imes 12}{10 	imes 400}$$
$$\begin{aligned}
& 	an 	heta=\frac{\mathrm{h}}{1.5} \\
& \Rightarrow \frac{\mathrm{h}}{1.5}=\frac{144}{4000} \\
& \mathrm{~h}=5.4 \mathrm{~cm}
\end{aligned}$$

Answer

6.0 cm

Answer

5.4 cm

Answer

4.8 cm

Answer

4.2 cm

Work, Energy and Power & Circular Motion

A train is moving with a speed of $12 \mathrm{~m} / \mathrm{s} on rails which are 1.5 \mathrm{~m} apart. To negotiate a curve radius 400 \mathrm{~m}, the height by which the outer rail should be raised with respect to the inner rail is (Given, g=10 \mathrm{~m} / \mathrm{s}^2)$ :

Choose the correct answer: