In a spring gun having spring constant 100 N m - 1 a small ball B of mass 100 g is put in its barrel (as shown in figure) by compressing the spring through 0 . 05 m . There should be a box placed at a

Question

In a spring gun having spring constant 100 N m - 1 a small ball B of mass 100 g is put in its barrel (as shown in figure) by compressing the spring through 0 . 05 m . There should be a box placed at a distance d on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of 2 m above the ground. The value of d is m . g = 10 m s - 2

TestHub · Accepted Answer

1 2 k x 2 = 1 2 m v 2 K x 2 = m v 2 v = x k m = 0 . 05 100 0 . 1 = 0 . 05 × 10 10 v = 0 . 5 10 From h = 1 2 g t 2 t = 2 h g = 2 × 2 10 = 2 10 ∴ d = v t = 0 . 5 10 × 2 10 = 1 m

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