A stone with mass of 0.1 kg is catapulted as shown in the figure. The total force F x (in N) exerted by the rubber band as a function of distance x (in m) is given by F x = 300x 2 . If the stone is displaced by 0.1 m from the un-stretched position (x = 0) of the rubber band, the energy stored in the rubber band is

GATE Mechanical Engineering(ME) 2011 Solved Paper

Question : 42 of 65

Marks: +1, -0

A stone with mass of 0.1 kg is catapulted as shown in the figure. The total force F_x (in N) exerted by the rubber band as a function of distance x (in m) is given by F_x = 300x². If the stone is displaced by 0.1 m from the un-stretched position (x = 0) of the rubber band, the energy stored in the rubber band is

0.01 J
0.1 J
1 J
10 J

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