A mass of $0.5\,kg$ moving with a speed of $1.5 \,m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\;N/m$. The maximum compression of the spring would be ............. $\mathrm{m}$
A mass of $0.5\,kg$ moving with a speed of $1.5 \,m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\;N/m$. The maximum compression of the spring would be ............. $\mathrm{m}$
$0.15$
$0.12$
$1.5$
$0.5$
A mass of $0.5\,kg$ moving with a speed of $1.5 \,m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\;N/m$. The maximum compression of the spring would be ............. $\mathrm{m}$
The kinetic energy of mass is converted into potential energy of a spring
$\frac{1}{2}m{v^2} = \frac{1}{2}k{x^2}$
$⇒$ $x = \sqrt {\frac{{m{v^2}}}{k}} = \sqrt {\frac{{0.5 \times {{(1.5)}^2}}}{{50}}} = 0.15\,m$
Other Language