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A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ?
Most Upvoted Answer
A spaceship is moving with constant speed V in gravity free space alon...
Problem:
A spaceship is moving with constant speed V in gravity-free space along the positive y-axis. It suddenly shoots out one-third of its part with speed 2V along the positive x-axis. We need to find the speed of the remaining part.
Solution:
Understanding the Problem:
- A spaceship is moving with a constant speed V along the positive y-axis.
- One-third of the spaceship is shot out with a speed of 2V along the positive x-axis.
- We need to find the speed of the remaining part of the spaceship.
Analysis:
- Let's assume the mass of the spaceship is M.
- Since momentum is conserved, the total momentum before and after the shot must be the same.
- The initial momentum of the spaceship is MV in the positive y-direction.
- The momentum of the shot-out part is (1/3)MV in the positive x-direction.
- The remaining part of the spaceship will have a momentum of (2/3)MV in the positive y-direction.
Solution:
- The total momentum before the shot is MV in the positive y-direction.
- The total momentum after the shot must also be MV in the positive y-direction.
- The momentum of the shot-out part is (1/3)MV in the positive x-direction, so the remaining part of the spaceship must have (2/3)MV in the positive y-direction.
- Since momentum is given by the product of mass and velocity, the remaining part must have a speed of (2/3)V.
Conclusion:
The speed of the remaining part of the spaceship is (2/3)V.
Community Answer
A spaceship is moving with constant speed V in gravity free space alon...
Use the conservation of momentum
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A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ?
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A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ?.
A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spaceship is moving with constant speed V in gravity free space along positive y-axis suddenly shoots out one third of its part with speed 2V along positive x-axis find the speed of the remaining part ?.
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