Question

A 1500-kg vehicle travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m. Determine the magnitude of the net force that acts on the vehicle

Answer 1

8541.18 kg*m/s^2

Step-by-step explanation:

The net force acting on an object moving in a circular path is known as the centripetal force. The net force acting on objects moving along a curvature can be calculated using the following formula.

`F_c` = (m * v^2) / r

where
`F_c` represents the centripetal force, m represents the mass of the object, v represents the velocity of the object, and r represents the radius of the circular path.

Given:

Mass of the vehicle (m) = 1500 kg

Velocity of the vehicle (v) = 22 m/s

Radius of the circular track (r) = 85 m

Substituting these values into the formula, we can calculate the magnitude of the net force acting on the vehicle:

`F_c` = (m * v^2) / r

`F_c` = (1500 kg * (22 m/s)^2) / 85 m

`F_c` = (1500 kg * 484 m^2/s^2) / 85 m

`F_c` = 8496 kg m/s^2

Therefore, the magnitude of the net force acting on the vehicle is approximately 8541.18 kg*m/s^2.