Calculating Acceleration of a Toy Robot and Doll on a Frictionless Surface

To solve this problem, we need to use Newton's second law, which states that the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass.

First, let's find the acceleration of the doll. Since there is no friction, the doll will move in the same direction as the force applied by the robot. Using Newton's second law:

a = F/m a = 0.30N / 0.20kg a = 1.5m/s^2

Now, let's find the acceleration of the robot. Since the robot is pushing on the doll, it will experience an equal and opposite force. Using Newton's second law again:

a = F/m a = -0.30N / 0.30kg a = -1.0m/s^2

Note that the negative sign indicates that the robot is moving in the opposite direction to the force it applied on the doll.

Therefore, the answer is D. 1.5m/s^2.