Question 47: Work, Energy and Power & Circular Motion

Question

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lv3g4i1f/1efcf294-a9a1-4376-836b-324bcbe1c57f/bbe3ea30-fc85-11ee-97a5-e951feb71c60/file-1lv3g4i1g.png?format=png)

Accepted Answer

$\begin{aligned} & \mathrm{W}_{\mathrm{g}}+\mathrm{W}_{\mathrm{Fr}}+\mathrm{W}_{\mathrm{s}}=\Delta \mathrm{KE} \\ & 5 	imes 10 	imes 5-0.5 	imes 5 	imes 10 	imes \mathrm{x}-\frac{1}{2} \mathrm{Kx}^2=0-0 \\ & 250=25 \mathrm{x}+50 \mathrm{x}^2 \\ & 2 \mathrm{x}^2+\mathrm{x}-10=0 \\ & \mathrm{x}=2\end{aligned}$

Answer

$\sqrt{6} \mathrm{~m}$

Answer

$\sqrt{5} \mathrm{~m}$

Answer

$1 \mathrm{~m}$

Answer

$2 \mathrm{~m}$

Work, Energy and Power & Circular Motion

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

Choose the correct answer: