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.