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A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position?
Most Upvoted Answer
A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second...
For holding the gun in its position it is needed to have newtons 3rd law
hence F1=-f2 so
force needed= mA but for n bullets f=nMA so m=20/1000kg a=v/t t=1sc hence a=500
F=10×20/1000×500 Newton =100N
hence F1=-f2 so
force needed= mA but for n bullets f=nMA so m=20/1000kg a=v/t t=1sc hence a=500
F=10×20/1000×500 Newton =100N
Community Answer
A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second...
Mass of the machine gun: 10 kg
Mass of each bullet: 20 grams = 0.02 kg
Rate of fire: 10 bullets per second
Speed of each bullet: 500 m/s
Calculating the total momentum of the bullets:
The momentum of an object is given by the formula:
Momentum = Mass × Velocity
The momentum of each bullet can be calculated as follows:
Momentum of each bullet = Mass of bullet × Velocity of bullet = 0.02 kg × 500 m/s = 10 kg·m/s
Since the rate of fire is 10 bullets per second, the total number of bullets fired in one second is 10 bullets/s × 1 s = 10 bullets.
Therefore, the total momentum of the bullets fired in one second is:
Total momentum of bullets = Momentum of each bullet × Total number of bullets
= 10 kg·m/s × 10 bullets
= 100 kg·m/s
Calculating the force required to hold the gun in position:
The force required to hold the gun in position is equal to the change in momentum per second, according to Newton's second law of motion.
Force = Change in momentum / Time
In this case, the change in momentum per second is equal to the total momentum of the bullets fired per second, which is 100 kg·m/s.
Therefore, the force required to hold the gun in position is:
Force = 100 kg·m/s / 1 s
= 100 N
Conclusion:
The force required to hold the machine gun in position while firing 10 bullets per second, each with a speed of 500 m/s, is 100 Newtons. This force is necessary to counteract the momentum of the bullets being fired.
Mass of each bullet: 20 grams = 0.02 kg
Rate of fire: 10 bullets per second
Speed of each bullet: 500 m/s
Calculating the total momentum of the bullets:
The momentum of an object is given by the formula:
Momentum = Mass × Velocity
The momentum of each bullet can be calculated as follows:
Momentum of each bullet = Mass of bullet × Velocity of bullet = 0.02 kg × 500 m/s = 10 kg·m/s
Since the rate of fire is 10 bullets per second, the total number of bullets fired in one second is 10 bullets/s × 1 s = 10 bullets.
Therefore, the total momentum of the bullets fired in one second is:
Total momentum of bullets = Momentum of each bullet × Total number of bullets
= 10 kg·m/s × 10 bullets
= 100 kg·m/s
Calculating the force required to hold the gun in position:
The force required to hold the gun in position is equal to the change in momentum per second, according to Newton's second law of motion.
Force = Change in momentum / Time
In this case, the change in momentum per second is equal to the total momentum of the bullets fired per second, which is 100 kg·m/s.
Therefore, the force required to hold the gun in position is:
Force = 100 kg·m/s / 1 s
= 100 N
Conclusion:
The force required to hold the machine gun in position while firing 10 bullets per second, each with a speed of 500 m/s, is 100 Newtons. This force is necessary to counteract the momentum of the bullets being fired.
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A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position?
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A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position?.
A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun of mass 10kg fires 20 gram Bullet @ 10 Bullet per second with a speed of 500M per second what force is necessary to hold gun in his position?.
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