Question

There are hundred identical sliders equally spaced on a friction less track as shown in the figure. Initially all the sliders are at rest. Slider 1 is-pushed with velocity $v$ towards slider 2. In a collision the sliders stick together. The final velocity of the set of hundred stuck sliders will be :

• A. $\frac{v}{99}$
• B. $\frac{v}{100}$
• C. zero
• D. $v$

Answer 1

Answer: (B)

$\frac{v}{100}$

Momentum is conserved. (collision)
i.e
$m_1{v}_1=m_2{v}_2$
$mv=m{v}_x+m{v}_x.....100times$
$mv=100m{v}_x$
$v_x=finalvelocityofbodies=\frac{v}{100}$