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A 15 g ball is shot from a spring gun whose spring has a force constant of 600 N/m. The spring is compressed by 5 cm. The greatest possible horizontal range of the ball for this compression is (g = 10 m/s2)

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a
6.0 m
b
10.0 m
c
12.0 m
d
8.0 m

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detailed solution

Correct option is B

For getting horizontal range, there must be some inclination of spring with ground to project ball.⇒Rmax=u2g                                       …..(i)But K.E. acquired by ball  = P.E. of spring gun ⇒12mu2=12kx2⇒u2=kx2m             …..(ii)From equation (i) and (ii) Rmax=kx2mg=600×(5×10−2)215×10−3×10=10m.

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