A block of weight W moving with velocity v on | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) According to the law of conservation of energy,the kinetic energy lost by the block is equal to the potential energy gained by the spring.Let $d$

Vedclass · Accepted Answer

$v\sqrt{\frac{W}{kg}}$

Vedclass · Answer

(C) According to the law of conservation of energy,the kinetic energy lost by the block is equal to the potential energy gained by the spring.Let $d$ be the maximum compression in the spring.The kinetic energy of the block is $K = \frac{1}{2}mv^2$,where $m = \frac{W}{g}$ is the mass of the block.The potential energy stored in the spring at maximum compression is $U = \frac{1}{2}kd^2$.Equating the two: $\frac{1}{2}mv^2 = \frac{1}{2}kd^2$.Substituting $m = \frac{W}{g}$:$\frac{1}{2} \left( \frac{W}{g} \right) v^2 = \frac{1}{2}kd^2$.Solving for $d$:$d^2 = \frac{Wv^2}{kg}$.Therefore,$d = v\sqrt{\frac{W}{kg}}$.

$A$ block of weight $W$ moving with velocity $v$ on a frictionless horizontal surface hits a spring of force constant $k$. The maximum compression in the spring will be at a distance of .........

Similar Questions

Two springs of spring constants $K$ and $2K$ are stretched by the same force. If $W_{1}$ and $W_{2}$ are the energies stored in them respectively,then:

$A$ spring with a force constant of $100 \ N/m$ is stretched by $5 \ cm$. Calculate the work done. (in $J$)

$A$ block of mass $M$ moving on a frictionless horizontal surface collides with a spring of spring constant $K$, as shown in the figure. If the spring compresses by a length $L$, then the maximum momentum of the block is:

An ideal spring with spring constant $k$ is suspended from the ceiling,and a block of mass $M$ is attached to its lower end. Initially,the spring is unstretched and the block is released from rest. What will be the maximum extension in the spring?

Does the energy stored in a spring change when it is stretched or compressed?

Vedclass Test Series

Exam Paper Generator

Online Exam Module