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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?
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Two bodies of masses 0.1kg and 0.4kg move towards each other with the ...
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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.
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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?
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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?.
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