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IRINA_888 [86]
3 years ago
13

Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0
Kinetic energy possessed by moving train is E_k = 150000J.

And mass m = 10000kg.

The formula for kinetic energy is E_k = \frac{m\times v^2}{2}.

Solve for velocity:

E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2

v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}

Now put in the data:

v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}
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