The following table shows experimental measurements for both the power P (in W) and the energy E in J) for different values of the velocity v (in m/s) for an object that is moving under a constant force F (in N): v (m/s) P(W) E (J) 1 2 285 670 40 175 3 1100 400 4 5 7 8 9 10 1360 1835 2370 2695 2945 3420 3850 780 1150 1645 2200 2840 3850 4550 The mechanical relationships are given by: P = Fv and E = 0.5m^2 a) Using curve-fitting, find the best estimate for the value of the force, F. b) Using curve-fitting, find the best estimate for the value of the mass, m. c) Using interpolation, find Ev = 5.5 m/s) and (P = 1600 W). d) Plot both the measured and estimated values of P (on the y-axis) versus v (on the x-axis), superimposed on top of each other. Add axes tabels, a legend, and a title