Question

# A block mass $$8kg$$ is released from the top of an inclined smooth surface as shown in figure, If spring constant of spring is $$200{N/m}$$ and block comes to rest after compressing spring by $$1m$$ then find the distance travelled by block before it comes to rest:

Solution

## Given:Mass $$=8kg$$K $$= 2000 {N/m}$$$$h=(s+1)\sin 30^o$$$$h=(s+1)\times \cfrac{1}{2}$$Lost in PE of block $$=$$ Gain in PE of spring$$\Rightarrow mgh=\cfrac{1}{2} kx^2$$$$\Rightarrow 8\times 10\times \left(\cfrac{s+1}{2}\right)=\cfrac{1}{2}\times 2000\times 1$$$$\Rightarrow s=24m$$Total distance travelled before coming to rest $$=s+1=25m$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More