The diagram shows the top view of a 65-kg student at point A on an amusement park ride. The ride spins the student in a horizontal circle with a radius of 2.5 m, at a constant speed of 8.6 m/s. The floor is lowered and the student remains against the wall without falling to the floor. The magnitude of the centripetal force acting on the student at point A is approximately
Question 1 options:

A.) 1923 N
B.) 47 N
C.) 1398 N
D.) 223 N

A.) 1923 N

Explanation:

Given parameters:

Mass of the student  = 65kg

Radius  = 2.5m

Velocity  = 8.6m/s

Unknown:

Centripetal force  = ?

Solution:

Centripetal force is a force that keeps a body moving along a circular path.

It is mathematically expressed as;

       F =  

m is the mass

v is the velocity

r is the radius

    Insert the parameters and solve;

      F =   = 1923N

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.