Final answer:
To find the mass of the toy plane, use the formula centripetal force = (mass * velocity^2) / radius. The mass of the toy plane is 3500 kg.
Step-by-step explanation:
To find the mass of the toy plane, we can use the formula: centripetal force = (mass * velocity^2) / radius. In this case, the centripetal force is 700 N, the velocity is 15 m/s, and the radius is 0.5 km (which is 500 m). Plugging these values into the formula, we can solve for mass:
700 N = (mass * (15 m/s)^2) / 500 m
700 N = (mass * 225 m^2/s^2) / 500 m
mass = (700 N * 500 m) / 225 m^2/s^2 = 3500 kg / s^2 = 3500 kg
Therefore, the mass of the toy plane is 3500 kg, which is not one of the given options. None of the options provided (a, b, c, d) are correct answers for this question.