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A block of mass is placed on a smooth horizontal surface. A bullet of mass travelling with velocity strikes the block and gets embedded in it. The combined system now compresses a spring of spring constant attached to the block. If the maximum compression of the spring is , the velocity of the bullet is:
v = xβ[k/(m+M)]
v = (x/m)β[k(M+m)]
v = (x/M)β[k(m+M)]
v = xβ[k(m+M)/m^2]
An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is
4Mg/K
2Mg/K
Mg/K
Mg/2K
A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be
1 Mg/k
2Mg/k
4 Mg/k
Mg/2k
In which case does the potential energy decrease
On compressing a spring
On stretching a spring
On moving a body against gravitational force
On the rising of an air bubble in water
A 2.0 kg block is dropped from a height of 40 cm onto a spring of spring constant . Find the maximum distance the spring is compressed
A spring of 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm
84 J
68 J
23 J
8 J
A spring of spring constant is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is
12.50 N-m
18.75 N-m
25.00 N-m
6.25 N-m