Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

two gliders are set in motion on a horizontal air track. a light spring of force constant k is attached to the back end of the second glider. both gliders are having the same mass m. the first glider moves to the right with speed v1 and the second is at rest. when the first glider collides with the spring attached to the second glider, the spring compress by a distance xmax, and the gliders then move apart again. in terms of v1, m, and k, find

Sagot :

The constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

When two objects collide the momentum is always conserved no matter the type of collision. But in case of kinetic energy, it is conserved only if the collision is elastic. Here the collision is elastic due to the presence of a spring. So, in this situation kinetic energy is conserved.

At maximum compression, According to law of conservation of momentum,

Sum of linear momentum before collision = Sum of linear momentum after collision

[tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] = ([tex]m_{1} + m_{2}[/tex] ) V

V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

where,

V = Velocity of center of mass

[tex]m_{1}[/tex] = Mass of glider 1

[tex]m_{2}[/tex] = Mass of glider 2

[tex]v_{1}[/tex] = Velocity of glider 1

[tex]v_{2}[/tex] = Velocity of glider 2

Therefore, the constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

To know more about law of conservation of momentum

https://brainly.com/question/24131537

#SPJ4

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.