Question

In given figure, all surfaces are smooth and frictionless. Spring is compressed by $2\text{m}$ and then released. Maximum distance travelled by the block over the inclined plane is
(Take $g=10{\text{m/s}}^2$)

• A. $2\text{m}$
• B. $3\text{m}$
• C. $5\text{m}$
• D. $4m$

Answer 1

The correct option is A $2\text{m}$

According to question -



Let us suppose, maximum distance travelled by block over the inclined plane is $d$.
As there is no non-conservative forces acting on block then its mechanical energy will remain constant.
$M.E_i=M.E_f$
$\Rightarrow \frac{1}{2}k{x}^2=mgh$
$[$ No kinetic energy in initial and final stage as block is at rest $]$
$\Rightarrow \frac{1}{2}\times 10\times 2^2=2\times 10\times h$
$\Rightarrow h=1\text{m}$
$\Rightarrow d\sin {30}^{\circ }=1\text{m}$
$\Rightarrow d=2\text{m}$
Maximum distance travelled by the block over the inclined plane is $2\text{m}$.