# Physics

Two objects A and B are involved in a totally elastic collision The mass of A is 8.8 kg and the mass of B is 0.5 kg. The velocity of A is 4.5 m/s and the velocity of B is 0 m/s. If they collide elastically, what will be the final velocity of A in m/s?

1. 👍 0
2. 👎 0
3. 👁 70
1. You have to use two equations:
conservation of momentum
a*Va+b*Vb=aVa'+bVb'
solve for Va'
Va'=(a*Va+b*Vb-bVb')/a

Now put that expression for va' into the conservation of momentum
1/2 aVa^2+1/2bVb^2=1/2a Va'^2 +1/2 b Vb'^2
and then start solving for Vb'

A bit of algebra will be required. Then go back an solve for Va'

1. 👍 0
2. 👎 0
2. How exactly are you supposed to use the second equation to solve for Vb' if you don't know Va'^2?

1. 👍 0
2. 👎 0
posted by Sophia
3. m1=8.8 kg, v1=4.5 m/s
m2=0.5 kg, v2=0
u1=?
u1= (m1-m2)v1/)m1+m2),
u2=2m1v1/(m1+m2).

1. 👍 0
2. 👎 0
posted by Elena
4. In the case of completely elastic collision, not only momentum is conserved but KE is also conserved. Considering these two principles, you get two equations from which you can find V1 and V2 in terms m1,m2 and U1.

1. 👍 0
2. 👎 0
posted by ajayb

## Similar Questions

1. ### physics

Hello, I'm trying to figure out which of the following statements are TRUE. I suspect that 2, 6, 8 are true...and that there is one more that is true, but not sure which one? Thanks! It is impossible to have a collision between

asked by John on October 29, 2011
2. ### Physics

Hello, I'm trying to figure out which of the following statements are TRUE. I suspect that 2, 6, 8 are true...and that there is one more that is true, but not sure which one? Thanks! It is impossible to have a collision between

asked by Anonymous on October 29, 2011
3. ### physics

An object(A) of mass 0.2kg strikes a second object (B) of mass 0.35kg that is initially at rest. Mass A has an initial velocity of +3m/s. A) Assume that the collision is entirely inelastic. calculate the final state for these

asked by issak on July 19, 2011
4. ### Physics

A mass of 9.8 kg is moving in the positive x direction at 16.6 m/s and collides in a perfectly elastic, head on collision with a mass of 12.7 kg at rest. The same mass of 9.8 kg in the positive direction at 16.6 m/s also collides

asked by Jeremy on November 11, 2014
5. ### Physics

A mass of 9.8 kg is moving in the positive x direction at 16.6 m/s and collides in a perfectly elastic, head on collision with a mass of 12.7 kg at rest. The same mass of 9.8 kg in the positive direction at 16.6 m/s also collides

asked by Kimmy on November 11, 2014
6. ### Physics

Object A has mass mA = 9 kg and initial momentum A,i = < 19, -7, 0 > kg · m/s, just before it strikes object B, which has mass mB = 12 kg. Just before the collision object B has initial momentum B,i = < 5, 6, 0 > kg · m/s.

asked by What does this even mean!? on November 21, 2010
7. ### physics

Two carts are involved in an elastic collision. Cart A with mass 0.55 kg is moving towards Cart B with mass 0.55 kg, which is initially at rest. Cart A stops after the collision and Cart B begins to move. What is the final kinetic

8. ### physics

Two objects of mass m1 = m and m2 = 4m undergo a completely inelastic collision in one dimension. If the two objects are at rest after the collision, what was the ratio of their speeds before the collision? v1/v2=

asked by glenmore on December 4, 2011
9. ### Physics

Two objects, one of mass 3kg moving at 2m/s, the other of mass 5kg and speed of 2m/s move towards each other and collide in a head on collision. If the collision is perfectly inelastic, find the speed of the objects after the

asked by Brooke on December 21, 2014
10. ### Physics HELP!

A locomotive of mass 2.1 x 104 kg travelling at 2.0 m/s runs into an identical stationary locomotive. a) If the collision is perfectly inelastic, what is the speed of the two trains after the collision? b) If the collision is

asked by Lee on May 12, 2017

More Similar Questions