SATHEE: Work Energy And Power Question 144

Work Energy And Power Question 144

Question: Blocks $A$ and $B$ of mass m each are connected with spring of constant $k$ . Both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched. Find the maximum stretch of spring.

Options:

A) $v \sqrt{\frac{m}{k}}$

B) $v \sqrt{\frac{m}{2 k}}$

C) $v \sqrt{\frac{2 m}{k}}$

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $\frac{1}{2} k x^{2} = 2 [\frac{1}{2} m {(\frac{v}{\sqrt{2}})}^{2}] \Rightarrow \frac{1}{2} k x^{2} = \frac{m v^{2}}{2}$
$\Rightarrow x = v \sqrt{\frac{m}{k}}$ [The velocities along y axis do not change]

Work Energy And Power Question 144

Question: Blocks $A$ and $B$ of mass m each are connected with spring of constant $k$ . Both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched. Find the maximum stretch of spring.

Options:

Answer:

Solution:

Engineering Preparation

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NCERT Books & Solutions

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Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Work Energy And Power Question 144

Question: Blocks A and B of mass m each are connected with spring of constant k . Both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched. Find the maximum stretch of spring.

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Blocks $A$ and $B$ of mass m each are connected with spring of constant $k$ . Both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched. Find the maximum stretch of spring.