A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
To find the total momentum after the collision, we need to consider the momentum of each individual ball before and after the collision.
Let's assume the initial momentum of the first billiard ball is 3 kg⋅m/s.
Let's assume the momentum of the second billiard ball after the collision is x kg⋅m/s.
Let's assume the momentum of the third billiard ball after the collision is y kg⋅m/s.
Let's assume the momentum of the fourth billiard ball after the collision is z kg⋅m/s.
According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
So, 3 kg⋅m/s = 3 kg⋅m/s + x kg⋅m/s + y kg⋅m/s + z kg⋅m/s
Simplifying the equation, we get:
0 kg⋅m/s = x kg⋅m/s + y kg⋅m/s + z kg⋅m/s
Since there is no initial momentum for the other three balls, the total momentum after the collision is 0 kg⋅m/s.
Momentum Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0AA billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?(1 point)%0D%0AResponses%0D%0A%0D%0A3 kg⋅m/s%0D%0A3 kilograms times meters per second%0D%0A%0D%0Aless than 3 kg⋅m/s%0D%0Aless than 3 kilograms times meters per second%0D%0A%0D%0Amore than 3 kg⋅m/s%0D%0Amore than 3 kilograms times meters per second%0D%0A%0D%0AIt depends on the mass of each ball.
The total momentum of the balls after the collision depends on the mass of each ball. Therefore, the correct response is "It depends on the mass of each ball."
A small rock bounces off the windshield of a moving car and experiences a large change in velocity. How does the car’s momentum change?(1 point)%0D%0AResponses%0D%0A%0D%0AIt has a change in momentum equal to that of the rock, in the opposite direction.%0D%0AIt has a change in momentum equal to that of the rock, in the opposite direction.%0D%0A%0D%0AIt has a change in momentum greater than that of the rock, in the opposite direction.%0D%0AIt has a change in momentum greater than that of the rock, in the opposite direction.%0D%0A%0D%0AIt does not change.%0D%0AIt does not change.%0D%0A%0D%0AIt has a much smaller change in momentum than that of the rock, in the opposite direction.
The correct response is: "It has a change in momentum equal to that of the rock, in the opposite direction."
Momentum Quick Check%0D%0A3 of 53 of 5 Items%0D%0A%0D%0AQuestion%0D%0AAn object has a mass of 5 kg and a velocity of 20 m/s. What is the momentum of the object?(1 point)%0D%0AResponses%0D%0A%0D%0A100 kg⋅m/s%0D%0A100 kilograms times meters per second%0D%0A%0D%0A25 kg⋅m/s%0D%0A25 kilograms times meters per second%0D%0A%0D%0A0.25 kg⋅m/s%0D%0A0 point 2 5 kilograms times meters per second%0D%0A%0D%0A4 kg⋅m/s
The momentum of an object is calculated by multiplying its mass by its velocity.
In this case, the object has a mass of 5 kg and a velocity of 20 m/s.
Therefore, the momentum of the object is:
Momentum = mass * velocity
Momentum = 5 kg * 20 m/s
Momentum = 100 kg⋅m/s
So, the correct response is: "100 kg⋅m/s".