14 . The graphs show how the force component F?cos? along the displacement varie

Question

14. The graphs show how the force component F?cos? along the displacement varies with the magnitude of the displacement. Find the work done by the force. Put yourself the number-marks on the axes.

F(x) F(x)

a) W = b) W =

15. A soccer ball with a mass 0.4kg is initially moving with speed 2.0 m/s. A soccer player kicks the ball, exerting a constant force of magnitude 40.0N in the same direction as the ball?s motion. Over what distance must her foot be in contact with the ball to increase the ball?s speed to 6.0 m/s? Hint: Use the Work-Kinetic energy theorem, W = Kf ? Ki in combination with W = F?D.

16. The potential energy of a pair of hydrogen atoms separated by a large distance is given by U(x,y) = -C/(x2 + y2)3, where C is a positive constant. Derive an expression for the x-component of the force one atom exerts on the other.

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