Question

The high speed 300 series Shinkansen trains of Japan consist of 16 aluminum cars with a combined mass of 7.10 x 10 to the power of 5kg the reduction in mass from the 100 series trains enables the 300 series to reach a top speed of 270 km/h. What is the magnitude of a 300 series trains momentum at it top speed?

Answer 1

QUESTION:

The high speed 300 series Shinkansen trains of Japan consist of 16 aluminum cars with a combined mass of $7.10 \times 10$ to the power of $5\mathrm{kg}$ the reduction in mass from the 100 series trains enables the 300 series to reach a top speed of $270~\mathrm{km/h}$. What is the magnitude of a 300 series trains momentum at it top speed?

SOLUTION:

Momentum of the train is the product of the mass and velocity of the train

$$p_{\text{train}} = m_{\text{train}} v_{\text{train}}$$ $$v_{\text{train}} = 270~\mathrm{km/h} = \frac{270}{3.6} = 75~\mathrm{m/s}$$ $$p_{\text{train}} = 7.10 \cdot 10^5 \cdot 75 = 5.25 \cdot 10^7~\frac{\mathrm{kg \cdot m}}{\mathrm{s}}$$

ANSWER:

$$p_{\text{train}} = 5.25 \cdot 10^7~\frac{\mathrm{kg \cdot m}}{\mathrm{s}}$$