A Toy gun has a spring of force constant ,k. After changing the spring by compressing it through a distance of & the toy releases a shot of mass m vertically upwards. Then the shot will travel a vertical height is equal to
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a
2mgkx2
b
kx2mg
c
kxmg
d
kx22mg
answer is D.
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Detailed Solution
Here the potential energy of the spring will be given to the mass m which is fired from the toy gun∴ K.E.ofmass =12kx2 At highest point, the kinetic energy is converted into potential elrorry, i.e., 12kx2=mgh or h=kx2/2mg