Physics Homework Help on Momentum
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What is Momentum?

It is defined as the product of mass and velocity of the particle. It is a vector quantity.
 

product of mass and velocity of the particle


For an object having mass mass, and velocity velocity.

 

Conservation of Momentum

In an isolated system, the total initial momentum of objects momentum of objects would be equal to the total final momentum final momentum of the objects.
 

isolated system

 

Inelastic Collision

Under inelastic collision, the kinetic energy kinetic energy of the system is not conserved. Some energy is lost due to the collision. But, the momentum is conserved. 


momentum is conserved


For objects having mass m1, initial velocity ,2, and final velocity v1

 

Complete Inelastic Collision

In a completely inelastic collision, one body is moving with velocity Velocity 1 and mass Mass 1, and another body is at rest, having mass Mass 2. And, after the collision, both bodies move with velocity Velocity 1
 

Velocity 2

 

Elastic Collision

In an isolated system, the total kinetic energy and the momentum of the object remain conserved under the elastic collision.

Here, one body is moving with velocity V and mass M1, and another body is at rest, having mass M2. After the collision, the body moves with v and V2f respectively. 

So, we can use the momentum equation and kinetic energy equation to write some formulas. 
 

momentum equatio 
 

kinetic energy equation



Momentum Questions & Answers – Sample

Question 1: In an inelastic collision, the mass of a car is 650 kg, is moving with an initial velocity of 20 m/s. It then collides with a truck of mass 9200 kg, which is moving in the same direction with a velocity of 12 m/s. The velocity of the car after the collision is 16 m/s. What would be the velocity of the truck after they collide.

 

Explanation: We have given mass and velocity, let us apply the formula under inelastic collision. 

So, Explanation 1

And, we have Explanation 1.1. Also, Explanation 1.2

Plug the values, 
 

Explanation 1.3


Final answer: The velocity of the truck after collision would be Explanation 1.5.

 

Question 2: A block with a mass of 30 kg, which is initially at rest on a frictionless surface. The block got hit by a moving object having a mass of 70 kg, and a velocity of 15 m/s. Consider complete inelastic collision, and find the final velocity.

 

Explanation: We have given mass and velocity, let us apply the formula under complete inelastic collision
 

complete inelastic collision
 

And, we have Given


Explanation 2


Final answer: The final velocity of the system would be Explanation 2.1.

 

Question 3: Under the elastic collision, a body having a mass of 10 kg, with an initial velocity of 5 m/s, collides with a block of mass of 25 kg. Find the final velocity of the body.

 

Explanation: We will use the formula from the elastic collision. formula from the elastic collision

We have given, Given Mass and velocity

Plug the values.
 

After plugging the values


Final answer: The velocity of the body after collision would be -2.14ms. The negative sign indicates the direction would be opposite.

 

Learn how to calculate momentum, solve equations and apply formulas with TutorEye

 

Have you ever wondered “what is momentum in Physics”?  Momentum is measured as a product of its mass and velocity. It can also be referred to as the quantity of motion of a moving body, usually connoted by the symbol ‘p’.  The definition of momentum can be summarized as such “p= m x v” where ‘m’ stands for mass and ‘v’ for velocity.


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Frequently Asked Questions

 

 

What is the best definition of momentum?

   
Momentum is defined as the effect of the mass of a particle and its velocity. Momentum is a vector quantity.It has both magnitude and quantity. According to Newton's second law of motion, the rate of change of momentum is equal to the force acting on the surface of the body.

 


What are the types of momentum?

 
Type of momentum:  linear momentum and angular momentum.

 


Is momentum a speed?


No speed is not a momentum speed is the distance traveled per unit time whereas momentum is the product of mass and velocity.

 


What is the law of momentum?


When two or more bodies are the isolated system acting upon each other, their total momentum remains constant until an external force is acting on them. Therefore the momentum can neither be created nor destroyed.

 


What are the units of momentum?


Units of momentum: kg•m/s.

 

 

How to calculate momentum?


Momentum is calculated: The momentum p of an object of mass m and velocity v is defined according to the following relationship:
                                    p = mv

 

 

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