Write a conclusion to this lab in which you discuss when a person on a roller coaster ride would have sensations of weightlessne

Answer:

the lower segment of the curve     N = M (g + v² / r)

the upper segment of the curve          N = m (v² / r - g)

Explanation:

A roller coaster features an extended ascent that enables the car to gain gravitational potential energy, which converts into kinetic energy, leading to a curve experience. In these curves, there are two sections: the lower section where riders experience heightened weight and the upper section where they feel lighter or weightless.

These feelings can be analyzed through Newton's second law; we will apply it to the lower section of the curve

         N - W = m a

the acceleration here is centripetal

        a = v² / r

substituting these values

        N = mg + m v² / r

        N = M (g + v² / r)

At this point, the perceived weight escalates due to the square of the body's speed, resulting in a significant feeling of heaviness.

In the top section of the curve, gravitational force still acts downward, and the normal force, which reacts to the surface, also pushes downwards, while the centripetal acceleration heads toward the curve's center, also directed vertically downward

        -N - W = -m a

         N = ma - W

         N = m (v² / r - g)

In this instance, the normal force, which generates the weight sensation, diminishes, leading to the perception of decreased weight. When v² / r equals g, the feeling of weightlessness becomes complete.