Final answer:
To find the mass of the bag of frogs, we use the equation Fc = (mv²)/r where Fc is the centripetal force, m is the mass, v is the velocity, and r is the radius. By substituting the given values, we can solve for the mass and determine that it is 7.5 kg.
Step-by-step explanation:
To find the mass of the bag of frogs, we can start by understanding the forces at play in this situation. Brewster applies a force of 10 N to keep the bag of frogs moving in a horizontal circle of radius 3 m. In circular motion, the centripetal force is given by the equation Fc = (mv²)/r, where Fc is the centripetal force, m is the mass, v is the velocity, and r is the radius. In this case, the centripetal force is provided by the force applied by Brewster. So, we have Fc = 10 N. The velocity is given as 2 m/s and the radius is 3 m. Substituting these values into the equation, we can solve for the mass:
Fc = (mv²)/r
10 N = (m * 2² m/s) / 3 m
10 N = 4m / 3
30 N = 4m
m = 7.5 kg
Therefore, the mass of the bag of rubber frogs is 7.5 kg.