Question

1) Your nephew rides a kiddy train at the local carnival. The train, which has

Answer 1

Answer:

Velocity is 1 m/s

Explanation:

We are given;

• Mass of the kiddy train is 1000 kg
• Radius of the curve is 5.0 m
• Centripetal 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;

• $Fc=\frac{Mv^{2} }{r}$, 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;

$v=\sqrt{\frac{Fc.r}{m} }$

• Therefore;

$v=\sqrt{\frac{(2000N)(5.0m)}{1000kg} }$

$v=\sqrt{1}$

$v=1m/s$

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