Two blocks of mass m each are connected to a spring of spring constant k as shown in figure. The maximum displacement in the block is

Question

Two blocks of mass m each are connected to a spring of spring constant k as shown in figure. The maximum displacement in the block is (A) √(2 m v2/k) (B) √(m v2/k) (C) 2 √(m v2/k) (D) 2 √(k/m v2)

Tardigrade Admin · Accepted Answer

(1/2) k x2=(1/2) m v2+(1/2) m v2 =m v2 x =√(2 m v2/k)

Q. Two blocks of mass $m$ each are connected to a spring of spring constant $k$ as shown in figure. The maximum displacement in the block is

$\frac{2 m v ^{2}}{k}$

$\frac{m v ^{2}}{k}$

$2 \frac{m v ^{2}}{k}$

$2 \frac{k}{m v ^{2}}$

$\frac{1}{2} k x^{2} = \frac{1}{2} m v^{2} + \frac{1}{2} m v^{2} = m v^{2}$
$x = \frac{2 m v ^{2}}{k}$

Q. Two blocks of mass m each are connected to a spring of spring constant k as shown in figure. The maximum displacement in the block is

k2mv2​​

kmv2​​

2kmv2​​

2mv2k​​