A body of mass m moving with an initial velocity u collides inelastically with a body of mass M initially at rest. If the collision is completely inelastic, then find (i) final velocity of combined system. (ii) loss in kinetic energy during collision.

Asked by Last Modified  

2 Answers

Learn Physics

Follow 1
Answer

Please enter your answer

(i) As the collision is completely inelastic therefore the two bodies stick together and the sticked bodies of mass 'm+M' move with final velocity let us say 'v' which we have to find out If the external force on system is zero then by law of conservation of momentum of system , we have , initial...
read more
(i) As the collision is completely inelastic therefore the two bodies stick together and the sticked bodies of mass 'm+M' move with final velocity let us say 'v' which we have to find out If the external force on system is zero then by law of conservation of momentum of system , we have , initial momentum of system = final momentum of system ⇒mu +M×0 = (m+M) v ⇒(m+M) v = mu ⇒v = mu⁄ (m+M) Thus the above value of v is the required final velocity (ii) initial kinetic energy of system = ½mu² +½ M×0² = ½mu² Final kinetic energy of system =½(m+M) v² Now putting the value of v= mu⁄(m+M) in final KE ∴final KE =½(m+M)× m² u²⁄ (m+M)² =½m² u²⁄ (m+M) ∴ loss of kinetic energy = initial KE – final KE =½mu²– ½ m²u²⁄(m+M) = {½mu²×(m+M)–½m²u²}⁄ (m+M) ={½m²u² +½mMu²–½m²u²} ⁄ (m+M) =½mMu² ⁄ (m+M) ∴loss of kinetic energy =½mMu²⁄ (m+M) read less
Comments
Dislike Bookmark

(i) As the collision is completely inelastic therefore the two bodies stick together and the sticked bodies of mass 'm+M' move with final velocity let us say 'v' which we have to find out If the external force on system is zero then by law of conservation of momentum of system , we have , initial...
read more
(i) As the collision is completely inelastic therefore the two bodies stick together and the sticked bodies of mass 'm+M' move with final velocity let us say 'v' which we have to find out If the external force on system is zero then by law of conservation of momentum of system , we have , initial momentum of system = final momentum of system ⇒mu +M×0 = (m+M) v ⇒(m+M) v = mu ⇒v = mu⁄ (m+M) Thus the above value of v is the required final velocity (ii) initial kinetic energy of system = ½mu² +½ M×0² = ½mu² Final kinetic energy of system =½(m+M) v² Now putting the value of v= mu⁄(m+M) in final KE ∴final KE =½(m+M)× m² u²⁄ (m+M)² =½m² u²⁄ (m+M) ∴ loss of kinetic energy = initial KE – final KE =½mu²– ½ m²u²⁄(m+M) = {½mu²×(m+M)–½m²u²}⁄ (m+M) ={½m²u² +½mMu²–½m²u²} ⁄ (m+M) =½mMu² ⁄ (m+M) ∴loss of kinetic energy =½mMu²⁄ (m+M) read less
Comments
Dislike Bookmark

Related Questions

A photon of wavelength 4.0 x m strikes on metal surface, the work function of the metal being 2.13 eV. Calculate:

i. The energy of the photon (eV).

ii. The kinetic energy of the emission.

Iii. The velocity of the photoelectron.
Razaul

Can you add three unit vectors to get a unit vector? Does the answer change if two unit vectors are along coordinate axis? Please give example.
If two unit vector in same direction (along),third unit vector in opposite direction situated after applying law's of vector addition along coordinate we will gate unit vector..which is result of three...
Deepika T.
0 0
6

Why Saturn has visible rings but other planets do not have such rings ?
Due to reflection of sun
Aditya
0 0
9
derivation of v2/r=ac
Below sheets has elaborate details of centripetal acceleration:
Indra
0 1
9
Why does a swimmer push the water backwards?
According to newton's 3rd law of motion in each and every action there is an equal and opposite force. So if he push the water backwards then according to the above principle or law he will be able to move forward.
Gulfam
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Water Equivalent

Waris Siddiqui

0 0
0
Tension
Tension is a special type of force which is applicable in a stretchable body like rope or string. Its direction is towards the pulley. If rope or chain is massless,frictionless or smooth, then tension...

Shivendra Kumar

4 0
0
ELECTRO -36

Mohit Kumar

0 0
0
The Power of Twist and Spin

Rakesh Nair

1 0
0
Parallelogram Law of Vector Addition
In this video, we'll study the Parallelogram Law of Vector Addition with one example.

Sunil Yadav

0 0
0

Recommended Articles

The Trend of E-learning and it’s Benefits

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

How To Choose The Right School For Children?

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

The Rising Problems in Indian Government School

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

Top Benefits of e-Learning

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

Find Class 11 Tuition near you
Class 11 Tuition in Delhi
Class 11 Tuition in Bangalore
Class 11 Tuition in Hyderabad
Class 11 Tuition in Kolkata
Class 11 Tuition in Mumbai
Class 11 Tuition in Chennai
Class 11 Tuition in Pune
Class 11 Tuition in Gurgaon
Class 11 Tuition in Noida
Class 11 Tuition in Ghaziabad

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you