Question

4) In the story of Cinderella, the mice turn to horses and the pumpkin into a coach. Suppose the mice stayed on as mice and so did the pumpkin. Each mouse could pull with a force of 1.6 N and there were six of them. The pumpkin has a mass of 1.2 kg and experienced a friction of force of 7.0 N while being dragged on the cobbled stones of Prince Charming's country roads. Show that the initial acceleration of the pumpkin is 2.17 m/s/s and if there were only four mice, the pumpkin will stand still and not go anywhere.

Answer 1

Mass of Pumpkin = 1.2 kg. Pull force of a mouse = 1.60 Pull force of 6 mouse F = 6X1.6 -> FO 29.6 M Friction force en pumpking = TN Net force on the pumpkin (9) friction Force Pull force to-Fiction Fu = F - Fretetin ma= (9.6-7) NI - Acceleration a = (9.6-7) = 2.6 a = 2.17 m/sec2] (b) Pull force of 4 mice fo = 4X 1.6 = 6.4 N m 1.2 since fr Frent there will not be any movement friction