Holding a long rope by its upper end, you lower it onto a scale. The rope has a mass of 0.13 kg per meter of length, and is lowered onto the scale at the constant rate of 1.4 m/s.

(a) Calculate the thrust exerted by the rope as it lands on the scale.

(b) At the instant when the amount of rope at rest on the scale has a weight of 2.5 N, does the scale read 2.5 N, more than 2.5 N, or less than 2.5 N? Explain.

(c) Check your answer to part (b) by calculating the reading on the scale at this time.