Final answer:
To find the mass of the bag of frogs being swung in a circle by Brewster, we can apply the centripetal force formula. Using the supplied values, we calculate that the mass of the bag is 1.5 kg.
Step-by-step explanation:
To determine the mass of the bag of frogs being swung in a horizontal circle by Brewster, we can use the formula for centripetal force, which is the force required to keep an object moving in a circle. The formula is F = (m*v²)/r, where F is the force applied to keep the object in circular motion, m is the mass of the object, v is the velocity of the object, and r is the radius of the circle. Brewster applies a force of 10 N to move the bag at a speed of 2.0 m/s in a circle of radius 3.0 m. Substituting the given values into the formula, we have 10 N = (m*2.0 m/s²)/3.0 m. Solving for mass m, we find that m = (10 N * 3.0 m) / (2.0 m/s)² = 15 kg. Thus, the mass of the bag of frogs is 1.5 kg.