What is the circular force of a 150 g yoyo swung around on a 1.00 m string at a velocity of 5.0 m/s (in Newtons)?
To find the circular force of the yoyo, we need to calculate the centripetal force acting on it. The centripetal force can be calculated using the formula:
F = (m * v^2) / r
Where:
F is the centripetal force
m is the mass of the yoyo (in kg)
v is the velocity of the yoyo (in m/s)
r is the radius of the circular path (in m)
First, we need to convert the mass from grams to kilograms:
m = 150 g = 150 / 1000 = 0.15 kg
Next, we can substitute the given values into the formula:
F = (0.15 kg * (5.0 m/s)^2) / 1.00 m
Simplifying the equation:
F = (0.15 kg * 25 m^2/s^2) / 1.00 m
Multiplying the mass and velocity:
F = (0.15 kg * 25 m^2/s^2) / 1.00 m
= 3.75 kg * m/s^2
The circular force of the yoyo swung around on a 1.00 m string at a velocity of 5.0 m/s is 3.75 Newtons.