Coming in hot, coming out cold?

Classical Mechanics Level 2

Grain is loaded onto a train initially coasting at the speed \(v_0 \text{ m/s}\) by dropping it vertically from a stationary silo at the rate \(\alpha_m \text{ kg/s}\). How fast is the train moving when it exits from under the silo (in m/s)?

Details

The train is \(l = 200\) m long, and has an empty weight of \(m_0 = 500\) kg.
\(v_0=45\) m/s
\(\alpha_m = 20\) kg/s

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.