NEET Exam > NEET Questions > Two bodies of masses 0.1kg and 0.4kg move tow...
Start Learning for Free
Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels?
Verified Answer
Two bodies of masses 0.1kg and 0.4kg move towards each other with the ...
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
Two bodies of masses 0.1kg and 0.4kg move towards each other with the ...
Given:
- Mass of body 1 (m1) = 0.1 kg
- Mass of body 2 (m2) = 0.4 kg
- Initial velocity of body 1 (u1) = 1 m/s
- Initial velocity of body 2 (u2) = 0.1 m/s
- Time (t) = 10 s
Step 1: Find the final velocities of the bodies after collision:
Since the bodies stick together after the collision, they have the same final velocity (v) after the collision. According to the law of conservation of momentum:
m1*u1 + m2*u2 = (m1 + m2)*v
Substituting the given values:
(0.1 kg)(1 m/s) + (0.4 kg)(0.1 m/s) = (0.1 kg + 0.4 kg)v
0.1 kg + 0.04 kg = 0.5 kg*v
0.14 kg = 0.5 kg*v
v = 0.14 kg / 0.5 kg
v = 0.28 m/s
Therefore, the final velocity of the combined mass after the collision is 0.28 m/s.
Step 2: Find the distance traveled by the combined mass:
Since the combined mass travels for 10 seconds, we can use the equation:
Distance (d) = velocity (v) * time (t)
Substituting the values:
d = 0.28 m/s * 10 s
d = 2.8 m
Therefore, the combined mass travels a distance of 2.8 meters in 10 seconds.
Conclusion:
After the collision, the two bodies of masses 0.1 kg and 0.4 kg stick together and move with a final velocity of 0.28 m/s. In 10 seconds, the combined mass travels a distance of 2.8 meters.
- Mass of body 1 (m1) = 0.1 kg
- Mass of body 2 (m2) = 0.4 kg
- Initial velocity of body 1 (u1) = 1 m/s
- Initial velocity of body 2 (u2) = 0.1 m/s
- Time (t) = 10 s
Step 1: Find the final velocities of the bodies after collision:
Since the bodies stick together after the collision, they have the same final velocity (v) after the collision. According to the law of conservation of momentum:
m1*u1 + m2*u2 = (m1 + m2)*v
Substituting the given values:
(0.1 kg)(1 m/s) + (0.4 kg)(0.1 m/s) = (0.1 kg + 0.4 kg)v
0.1 kg + 0.04 kg = 0.5 kg*v
0.14 kg = 0.5 kg*v
v = 0.14 kg / 0.5 kg
v = 0.28 m/s
Therefore, the final velocity of the combined mass after the collision is 0.28 m/s.
Step 2: Find the distance traveled by the combined mass:
Since the combined mass travels for 10 seconds, we can use the equation:
Distance (d) = velocity (v) * time (t)
Substituting the values:
d = 0.28 m/s * 10 s
d = 2.8 m
Therefore, the combined mass travels a distance of 2.8 meters in 10 seconds.
Conclusion:
After the collision, the two bodies of masses 0.1 kg and 0.4 kg stick together and move with a final velocity of 0.28 m/s. In 10 seconds, the combined mass travels a distance of 2.8 meters.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels?
Question Description
Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels?.
Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels?.
Solutions for Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? defined & explained in the simplest way possible. Besides giving the explanation of
Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels?, a detailed solution for Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? has been provided alongside types of Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? theory, EduRev gives you an
ample number of questions to practice Two bodies of masses 0.1kg and 0.4kg move towards each other with the velocities 1m/s and 0.1 m/s respectively after collision they stick together In 10 sec the combined mass travels? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup