The string of a certain yo-yo is 80 cm long and will break when the force on it is 10 N. What is the highest speed the 200 g yo-yo can have when it is being whirled in a circle? Ignore the gravitational pull of the earth on the yo-yo.
To find the highest speed of the yo-yo when being whirled in a circle, we can use the concept of centripetal force.
The centripetal force is given by the formula:
F = (m * v^2) / r
Where:
F is the force (to break the string) = 10 N
m is the mass of the yo-yo = 200 g = 0.2 kg
v is the speed of the yo-yo
r is the radius of the circular path = length of the string = 80 cm = 0.8 m
Rearranging the formula, we get:
v = sqrt((F * r) / m)
Substituting the given values:
v = sqrt((10 N * 0.8 m) / 0.2 kg)
v = sqrt(4 m^2/s^2)
v = 2 m/s
Therefore, the highest speed the yo-yo can have when being whirled in a circle is 2 m/s.