Final question of the day help finding impulse of two billiard balls

In summary, after a billiard ball going 4 m/s collides with a stationary ball of equal size, the second ball moves at an angle of 35 degrees at a speed of 2.5 m/s. The impulse of the second ball is 0.75 kg*m/s, while the impulse of the first ball is 1.2 kg*m/s. To calculate the direction, you can use the vector definitions of initial momenta and equate initial and final energies and momenta.
  • #1
pebbles
95
0

Homework Statement


A billiard ball going 4 m/s collides with a stationary ball of equal size cause the second ball to move at an angle of 35 degrees at speed of 2.5 m/s
--mass=.3 kg
What impulse (magnitude and direction) did second ball receive? What about the first ball?
What is the final velocity (magnitude and direction) of the frist ball?


Homework Equations


impulse=kg * m/s
final velocity...?

The Attempt at a Solution


Impulse of second ball=.3*2.5= .75 kg*m/s
Impulse of first ball=.3*4=1.2 kg*m/s
Those right? How do I calculate the direction...?
 
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  • #2
You can make life a little easier for yourself by keeping the vector definitions of the initial momenta. Then when you finish, direction will be incorporated into your answer, you'd just need to find the magnitude.
 
  • #3
Billiard balls are assumed to be perfectly elastic.

What quantities are conserved in elastic collisions?
 
  • #4
shooting star-kinetic and momenta
 
  • #5
Then why don't you equate the initial and final energies and momenta rpty?

Resolve the final momenta in the two directions along and perp to the initial direction of the first ball.
 

Related to Final question of the day help finding impulse of two billiard balls

1. How do you calculate the impulse of two billiard balls?

The impulse of two billiard balls can be calculated by multiplying the force applied to the balls by the time it was applied for. This can be represented by the equation I = F x t, where I is impulse, F is force, and t is time.

2. What is the unit of measurement for impulse?

The unit of measurement for impulse is kg*m/s or Newton-seconds (N*s). This unit is derived from the equation I = F x t, where force is measured in Newtons (N) and time is measured in seconds (s).

3. Can the impulse of two billiard balls be negative?

Yes, the impulse of two billiard balls can be negative. This occurs when the force applied to the balls is in the opposite direction of the motion. In this case, the impulse would be considered negative as it would decrease the momentum of the balls.

4. How does the mass of the billiard balls affect the impulse?

The mass of the billiard balls does not directly affect the impulse. However, it does affect the momentum of the balls, which is related to impulse through the equation p = m*v, where p is momentum, m is mass, and v is velocity. A greater mass would result in a greater momentum and therefore a greater impulse if the velocity remains constant.

5. Can you calculate the impulse of two billiard balls if the time of impact is unknown?

No, the impulse of two billiard balls cannot be calculated if the time of impact is unknown. The time is a crucial component in the equation I = F x t and without it, the impulse cannot be accurately determined. In this case, other methods such as measuring the change in momentum or velocity of the balls would need to be used to calculate the impulse.

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