Question
A 25 kg girl sitting on a carousel is moving at a speed of 4.0 m/s. If the girl is 5.0 m from the axis of the carousel, what is the centripetal force that maintains her circular motion?
Answers
GPT 3.5
To find the centripetal force that maintains the girl's circular motion, we can use the formula:
F = m * v^2 / r
Where:
F = centripetal force
m = mass of the girl (25 kg)
v = speed of the girl (4.0 m/s)
r = radius of the circular motion (5.0 m)
Plugging in the values:
F = 25 kg * (4.0 m/s)^2 / 5.0 m
F = 25 kg * 16 m^2/s^2 / 5.0 m
F = 400 kg m/s^2 / 5.0 m
F = 80 N
Therefore, the centripetal force that maintains the girl's circular motion is 80 Newtons.
F = m * v^2 / r
Where:
F = centripetal force
m = mass of the girl (25 kg)
v = speed of the girl (4.0 m/s)
r = radius of the circular motion (5.0 m)
Plugging in the values:
F = 25 kg * (4.0 m/s)^2 / 5.0 m
F = 25 kg * 16 m^2/s^2 / 5.0 m
F = 400 kg m/s^2 / 5.0 m
F = 80 N
Therefore, the centripetal force that maintains the girl's circular motion is 80 Newtons.