Question

**Physics 12**



3. A student has a weight of 655 N. While riding on a roller-coaster this same student has an apparent weight of 1.96 x 103 N at the bottom of the dip that has a radius of 18.0 m. What is the speed of the roller-coaster?

Answer:
(18.76 m/s)

Answer 1

You have the answer. Please, show me how to get that answer. Thank you

Answer 2

Well, if you are requesting help, you should post your own attempt here first.

Answer 3

hint:
the mass \(m_0\) of the student, is:
\[\Large m_0 = \frac{P}{g} = \frac{{655}}{{9.81}} = ...?\]
now, the apparent acceleration \(a_C\), is:
\[\Large {a_C} = \frac{{{P_{apparent}}}}{m} = \frac{{1.96 \cdot {{10}^3}}}{{{m_0}}} = ...?\]
and the magnitude of such apparent acceleration, has to be equal to the centripetal acceleration:
\[\Large {a_C} = {a_{centripetal}} = \frac{{{v^2}}}{{18}} = ...?\]
where \(v\) is the requested speed

Answer 4

Yes, now I understand it. Apparent weight means force of normal, and I did not know it.

Answer 5

Since I need the free body diagram first.

Answer 6

Thank you

Answer 7

Exactly, apparent weight is what you would read on a weighing scale giving out newtons.