Question

Determine the miniμm speed the cars can move and still make it through the loop without losing contact with the rails.

Answer 1

The minimum speed for cars to navigate a loop without losing contact with the rails depends on the radius of the loop and can be calculated using the formula
`\(v = √(g \cdot r)\)`.

Step-by-step explanation:

To determine the minimum speed at which cars can move through a loop without losing contact with the rails, we need more information. The critical factor for a car to successfully navigate a loop is the centripetal force, which is provided by the normal force between the tires and the track.

The minimum speed
`\( v \)` required to prevent the car from losing contact with the rails in a loop of radius
`\( r \)` can be calculated using the following formula:

`\[ v = √(g \cdot r) \]`

where:

`\( v \)` is the minimum speed,

`\( g \)` is the acceleration due to gravity (approximately
`\( 9.8 \, \text{m/s}^2 \))`,

`\( r \)` is the radius of the loop.

Without the specific value of the radius
`\( r \)` of the loop, it is not possible to calculate the minimum speed. If you provide the radius of the loop, I can assist you in calculating the minimum speed needed for the cars to navigate it successfully.