A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s²)

3 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

2 months ago

$[λ \times 3 \times g] \times \frac{3}{2} - [λ \times 1 \times g] \times \frac{1}{2} = K$

=> $λ \Rightarrow \frac{m a s s}{l e n g t h}$

=> $λ g (\frac{9}{2} - \frac{1}{2}) = K$

$\frac{3}{3} \times 10 \times 4 = K$

K = 40 J

<!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1815574857"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mrow> <mo> [</mo> <mrow> <mi>λ</mi> <mo>×</mo> <mn>3</mn> <mo>×</mo> <mi>g</mi> </mrow> <mo>]</mo> </mrow> <mo>×</mo> <mfrac> <mrow> <mn>3</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>−</mo> <mrow> <mo> [</mo> <mrow> <mi>λ</mi> <mo>×</mo> <mn>1</mn> <mo>×</mo> <mi>g</mi> </mrow> <mo>]</mo> </mrow> <mo>×</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>=</mo> <mi>K</mi> </mrow> </math>         <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1815574858"> </o:OLEObject></xml><! [endif]->=> <math> <mrow> <mi>λ</mi> <mo>⇒</mo> <mfrac> <mrow> <mi>m</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>t</mi> <mi>h</mi> </mrow> </mfrac> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1815574859"> </o:OLEObject></xml><! [endif]->=> <math> <mrow> <mi>λ</mi> <mi>g</mi> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mn>9</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>−</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mi>K</mi> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1815574860"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mfrac> <mrow> <mn>3</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> <mo>×</mo> <mn>1</mn> <mn>0</mn> <mo>×</mo> <mn>4</mn> <mo>=</mo> <mi>K</mi> </mrow> </math> K = 40 J

0 Upvotes 0 Downvotes

Get authentic answers from experts, students and alumni that you won't find anywhere else

On Shiksha, get access to

65k Colleges
1.2k Exams
688k Reviews
1800k Answers

Community GuidelinesUser Points System

QuestionsDiscussionsTags

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s²)

1 Answer

Learn more about...

Most viewed information

Share Your College Life Experience

Didn't find the answer you were looking for?

Need guidance on career and education? Ask our experts

Your Question

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s2)

1 Answer

Learn more about...

Most viewed information

Share Your College Life Experience

Didn't find the answer you were looking for?

Need guidance on career and education? Ask our experts

Your Question

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s²)