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5.Work, Energy, Power and Collision
hard
A massless platform is kept on a light elastic spring as shown in fig. When a sand particle of mass $0.1\; kg$ is dropped on the pan from a height of $0.24 \;m$, the particle strikes the pan and spring is compressed by $0.01\; m$.
From what height should the particle be dropped to cause a compression of $0.04\; m$.
A
$3.96$
B
$5.25$
C
$2$
D
$6.2$
Solution
$mg ( h + x )=\frac{1}{2} kx$
mg(0.24+0.01)= $\frac{1}{2} k (0.01)^2$
$mg ( h +0.04)=\frac{1}{2} k (0.04)^2$
$\frac{ h +0.04}{0.24+0.01}=\frac{16}{1}$
$\therefore h +0.4=16 \times 0.25=4$
$h =3.96 \;m$
Standard 11
Physics
