a 47 kg person in a rollercoaster moving through the bottom of a curved track of radius 47.7 m feels a normal force of 895 N. What is the net centripedal force acting on the person

gravity + centripetal = normal

I’m sorry i still don’t follow. Do i add 9.8 to 885?

a = v^2/R upward

Force up - weight = centripetal force = m a
895 - 47(9.8) = 895 - 460.6 = 434.4 N centripetal force

then later if given v or R solve for the other
434.4 = 47 * v^2/R

To find the net centripetal force acting on the person, we can use the equation:

Net Centripetal Force = Normal Force - Weight

1. First, let's calculate the weight of the person using the formula:

Weight = mass × acceleration due to gravity

Given:
Mass of the person (m) = 47 kg
Acceleration due to gravity (g) = 9.8 m/s² (approximately)

Weight = 47 kg × 9.8 m/s² = 461.6 N (approximately)

2. Now, we can substitute the values into the equation for the net centripetal force:

Net Centripetal Force = Normal Force - Weight

Given:
Normal Force = 895 N
Weight = 461.6 N

Net Centripetal Force = 895 N - 461.6 N = 433.4 N (approximately)

Therefore, the net centripetal force acting on the person is approximately 433.4 N.