To find the maximum speed at which the mass can be whirled without breaking the string, we can use the concept of centripetal force.
The formula for centripetal force is given by:
F = (m * v^2) / r
Where:
F is the centripetal force
m is the mass
v is the velocity
r is the radius of the circle
In this case, we want to find the maximum velocity (v) without breaking the string, where the force (F) is equal to the breaking force of the string (191.0 N).
By rearranging the formula, we can solve for v:
v = sqrt((F * r) / m)
Substituting the known values into the equation:
v = sqrt((191.0 N * 1.92 m) / 1.75 kg)
Now we can calculate the value of v.