1) your nephew rides a kiddy train at the local carnival. the train, which has
a mass of 1000 kg, rounds a curve with a radius of 5.0 m. the rails can
exert a maximum force of 2000 n in the radial direction. what is the
maximum speed of the train without derailing?

Velocity is 1 m/s

Explanation:

We are given;

Mass of the kiddy train is 1000 kg Radius of the curve is 5.0 mCentripetal force is 2000 N

We are required to determine the maximum speed of the train.

Centripetal force refers to the force experienced by an object in a circular motion towards the center of a circular path.It is calculated by the formula;, where m is the mass, v is the velocity and r is the radius of the circular path.Therefore, using the formula we can find the maximum speed.Rearranging the formula;

Therefore;

Therefore, the maximum speed of the train is 1 m/s