Collisions
PHXI06:WORK ENERGY AND POWER

355247 A particle of mass \(m\) strikes elastically with a disc of radius \(R\), with a velocity \(\vec{v}\) as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
supporting img

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{1}{3}\)
3 \(\dfrac{\sqrt{3} v}{2}\)
4 \(v\)
PHXI06:WORK ENERGY AND POWER

355248 In the figure shown, the two identical balls of mass \(M\) and radius \(R\) each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass \(M\) and radius \(R\), is coming down vertically and has a velocity \(v_{0}\) when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to:
supporting img

1 \(\dfrac{2 v_{0}}{\sqrt{3}}\)
2 \(\dfrac{v_{0}}{\sqrt{3}}\)
3 \(\dfrac{4 v_{0}}{\sqrt{3}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355249 A ball of \(0.5\;kg\) collided with wall at \(30^{\circ}\) and bounced back elastically. The speed of ball was \(12\;m{s^{ - 1}}.\) The contact remained for \(1\;s.\) What is the force applied by wall on ball?

1 \(12 \sqrt{3} N\)
2 \(\sqrt{3} N\)
3 \(6 \sqrt{3} N\)
4 \(3 \sqrt{3} N\)
PHXI06:WORK ENERGY AND POWER

355250 A ball of mass m elastically collides with a wall with velocity \(v\), then change in its momentum is equal to

1 8 \(mv\)
2 2\(mv\)
3 zero
4 2 \(m\)
PHXI06:WORK ENERGY AND POWER

355251 Two particles \(A\) and \(B\) of masses \(3\;kg\) and \(6\;kg\) respectively, are incident making angles \(45^{\circ}\) and \(120^{\circ}\) with a same normal. These particles moving with speeds \(8\;m{\rm{/}}s\) and \(6\;m{\rm{/}}s,\) collide elastically at the origin. After the collision, particle \(B\) moves with a speed of (Take \(\sqrt{2}=1.41\) and \(\sqrt{3}=1.73\) )

1 \(13.37\,m/s\)
2 \(11.47\,m/s\)
3 \(15.42\,m/s\)
4 \(12.65\,m/s\)
PHXI06:WORK ENERGY AND POWER

355247 A particle of mass \(m\) strikes elastically with a disc of radius \(R\), with a velocity \(\vec{v}\) as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
supporting img

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{1}{3}\)
3 \(\dfrac{\sqrt{3} v}{2}\)
4 \(v\)
PHXI06:WORK ENERGY AND POWER

355248 In the figure shown, the two identical balls of mass \(M\) and radius \(R\) each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass \(M\) and radius \(R\), is coming down vertically and has a velocity \(v_{0}\) when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to:
supporting img

1 \(\dfrac{2 v_{0}}{\sqrt{3}}\)
2 \(\dfrac{v_{0}}{\sqrt{3}}\)
3 \(\dfrac{4 v_{0}}{\sqrt{3}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355249 A ball of \(0.5\;kg\) collided with wall at \(30^{\circ}\) and bounced back elastically. The speed of ball was \(12\;m{s^{ - 1}}.\) The contact remained for \(1\;s.\) What is the force applied by wall on ball?

1 \(12 \sqrt{3} N\)
2 \(\sqrt{3} N\)
3 \(6 \sqrt{3} N\)
4 \(3 \sqrt{3} N\)
PHXI06:WORK ENERGY AND POWER

355250 A ball of mass m elastically collides with a wall with velocity \(v\), then change in its momentum is equal to

1 8 \(mv\)
2 2\(mv\)
3 zero
4 2 \(m\)
PHXI06:WORK ENERGY AND POWER

355251 Two particles \(A\) and \(B\) of masses \(3\;kg\) and \(6\;kg\) respectively, are incident making angles \(45^{\circ}\) and \(120^{\circ}\) with a same normal. These particles moving with speeds \(8\;m{\rm{/}}s\) and \(6\;m{\rm{/}}s,\) collide elastically at the origin. After the collision, particle \(B\) moves with a speed of (Take \(\sqrt{2}=1.41\) and \(\sqrt{3}=1.73\) )

1 \(13.37\,m/s\)
2 \(11.47\,m/s\)
3 \(15.42\,m/s\)
4 \(12.65\,m/s\)
PHXI06:WORK ENERGY AND POWER

355247 A particle of mass \(m\) strikes elastically with a disc of radius \(R\), with a velocity \(\vec{v}\) as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
supporting img

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{1}{3}\)
3 \(\dfrac{\sqrt{3} v}{2}\)
4 \(v\)
PHXI06:WORK ENERGY AND POWER

355248 In the figure shown, the two identical balls of mass \(M\) and radius \(R\) each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass \(M\) and radius \(R\), is coming down vertically and has a velocity \(v_{0}\) when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to:
supporting img

1 \(\dfrac{2 v_{0}}{\sqrt{3}}\)
2 \(\dfrac{v_{0}}{\sqrt{3}}\)
3 \(\dfrac{4 v_{0}}{\sqrt{3}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355249 A ball of \(0.5\;kg\) collided with wall at \(30^{\circ}\) and bounced back elastically. The speed of ball was \(12\;m{s^{ - 1}}.\) The contact remained for \(1\;s.\) What is the force applied by wall on ball?

1 \(12 \sqrt{3} N\)
2 \(\sqrt{3} N\)
3 \(6 \sqrt{3} N\)
4 \(3 \sqrt{3} N\)
PHXI06:WORK ENERGY AND POWER

355250 A ball of mass m elastically collides with a wall with velocity \(v\), then change in its momentum is equal to

1 8 \(mv\)
2 2\(mv\)
3 zero
4 2 \(m\)
PHXI06:WORK ENERGY AND POWER

355251 Two particles \(A\) and \(B\) of masses \(3\;kg\) and \(6\;kg\) respectively, are incident making angles \(45^{\circ}\) and \(120^{\circ}\) with a same normal. These particles moving with speeds \(8\;m{\rm{/}}s\) and \(6\;m{\rm{/}}s,\) collide elastically at the origin. After the collision, particle \(B\) moves with a speed of (Take \(\sqrt{2}=1.41\) and \(\sqrt{3}=1.73\) )

1 \(13.37\,m/s\)
2 \(11.47\,m/s\)
3 \(15.42\,m/s\)
4 \(12.65\,m/s\)
PHXI06:WORK ENERGY AND POWER

355247 A particle of mass \(m\) strikes elastically with a disc of radius \(R\), with a velocity \(\vec{v}\) as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
supporting img

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{1}{3}\)
3 \(\dfrac{\sqrt{3} v}{2}\)
4 \(v\)
PHXI06:WORK ENERGY AND POWER

355248 In the figure shown, the two identical balls of mass \(M\) and radius \(R\) each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass \(M\) and radius \(R\), is coming down vertically and has a velocity \(v_{0}\) when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to:
supporting img

1 \(\dfrac{2 v_{0}}{\sqrt{3}}\)
2 \(\dfrac{v_{0}}{\sqrt{3}}\)
3 \(\dfrac{4 v_{0}}{\sqrt{3}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355249 A ball of \(0.5\;kg\) collided with wall at \(30^{\circ}\) and bounced back elastically. The speed of ball was \(12\;m{s^{ - 1}}.\) The contact remained for \(1\;s.\) What is the force applied by wall on ball?

1 \(12 \sqrt{3} N\)
2 \(\sqrt{3} N\)
3 \(6 \sqrt{3} N\)
4 \(3 \sqrt{3} N\)
PHXI06:WORK ENERGY AND POWER

355250 A ball of mass m elastically collides with a wall with velocity \(v\), then change in its momentum is equal to

1 8 \(mv\)
2 2\(mv\)
3 zero
4 2 \(m\)
PHXI06:WORK ENERGY AND POWER

355251 Two particles \(A\) and \(B\) of masses \(3\;kg\) and \(6\;kg\) respectively, are incident making angles \(45^{\circ}\) and \(120^{\circ}\) with a same normal. These particles moving with speeds \(8\;m{\rm{/}}s\) and \(6\;m{\rm{/}}s,\) collide elastically at the origin. After the collision, particle \(B\) moves with a speed of (Take \(\sqrt{2}=1.41\) and \(\sqrt{3}=1.73\) )

1 \(13.37\,m/s\)
2 \(11.47\,m/s\)
3 \(15.42\,m/s\)
4 \(12.65\,m/s\)
PHXI06:WORK ENERGY AND POWER

355247 A particle of mass \(m\) strikes elastically with a disc of radius \(R\), with a velocity \(\vec{v}\) as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
supporting img

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{1}{3}\)
3 \(\dfrac{\sqrt{3} v}{2}\)
4 \(v\)
PHXI06:WORK ENERGY AND POWER

355248 In the figure shown, the two identical balls of mass \(M\) and radius \(R\) each, are placed in contact with each other on the frictionless horizontal surface. The third ball of mass \(M\) and radius \(R\), is coming down vertically and has a velocity \(v_{0}\) when it simultaneously hits the two balls and itself comes to rest. Then, each of the two bigger balls will move after collision with a speed equal to:
supporting img

1 \(\dfrac{2 v_{0}}{\sqrt{3}}\)
2 \(\dfrac{v_{0}}{\sqrt{3}}\)
3 \(\dfrac{4 v_{0}}{\sqrt{3}}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355249 A ball of \(0.5\;kg\) collided with wall at \(30^{\circ}\) and bounced back elastically. The speed of ball was \(12\;m{s^{ - 1}}.\) The contact remained for \(1\;s.\) What is the force applied by wall on ball?

1 \(12 \sqrt{3} N\)
2 \(\sqrt{3} N\)
3 \(6 \sqrt{3} N\)
4 \(3 \sqrt{3} N\)
PHXI06:WORK ENERGY AND POWER

355250 A ball of mass m elastically collides with a wall with velocity \(v\), then change in its momentum is equal to

1 8 \(mv\)
2 2\(mv\)
3 zero
4 2 \(m\)
PHXI06:WORK ENERGY AND POWER

355251 Two particles \(A\) and \(B\) of masses \(3\;kg\) and \(6\;kg\) respectively, are incident making angles \(45^{\circ}\) and \(120^{\circ}\) with a same normal. These particles moving with speeds \(8\;m{\rm{/}}s\) and \(6\;m{\rm{/}}s,\) collide elastically at the origin. After the collision, particle \(B\) moves with a speed of (Take \(\sqrt{2}=1.41\) and \(\sqrt{3}=1.73\) )

1 \(13.37\,m/s\)
2 \(11.47\,m/s\)
3 \(15.42\,m/s\)
4 \(12.65\,m/s\)