bloodlust said:Homework Statement
A 15 kg cart is moving east at 3.0 m/s when 10 kg of newspaper is vertically dropped into the cart. Find final veocity?
2. Homework Equations [/b
m1v1i+m2v2i=m1v1f+m2v2f
Kinematic eqs and trig will be necessary to find components for the 10kgnewspaper
The Attempt at a Solution
Using the eqs isted above
The conservation of momentum is a fundamental law of physics that states that the total momentum of a closed system (a system with no external forces acting on it) remains constant over time. This means that the total momentum before an event, such as a collision, is equal to the total momentum after the event.
The addition of mass from above can cause a change in velocity due to the conservation of momentum. When a new mass is added to a system, the total momentum of the system will increase, which can cause a change in the velocity of objects within the system. This change in velocity can be calculated using the equation: Δv = Δm * (2v/m), where Δv is the change in velocity, Δm is the added mass, v is the initial velocity, and m is the total mass of the system.
Yes, the conservation of momentum can be observed in many everyday situations. For example, when playing billiards, the initial velocity and mass of the cue ball will determine the final velocities of the cue ball and the other balls after a collision. Another example is when a car collides with a stationary object, the total momentum of the car and object will remain constant before and after the collision.
The conservation of momentum is closely related to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In the case of momentum, when two objects collide, the force exerted on each object is equal and opposite, resulting in a conservation of momentum in the system.
In classical mechanics, the conservation of momentum holds true in all situations. However, in the realm of quantum mechanics, there are exceptions to this law, such as in the case of radioactive decay, where particles can decay into smaller particles with different momenta. Additionally, in situations involving extremely high velocities or strong gravitational forces, the conservation of momentum may not hold true due to the effects of relativity.