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A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position?
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Calculation of Force Required to Keep the Machine Gun in Position
To keep the machine gun in position, a force must be applied equal to the force produced by the machine gun while firing.
Calculating the Force Produced by the Machine Gun
Mass of the machine gun = 20kg
Mass of one bullet = 35g = 0.035kg
Rate of firing = 400 bullets per minute
Speed of bullets = 400m/s
The force produced by the machine gun while firing can be calculated using the formula:
Force = Mass x Acceleration
Acceleration can be calculated using the formula:
Acceleration = (Speed of bullets)^2 / (2 x Distance)
Distance can be calculated using the formula:
Distance = Rate of firing x Time taken to fire one bullet
Time taken to fire one bullet = 60 / Rate of firing
Putting the values in the above formulas, we get:
Time taken to fire one bullet = 60 / 400 = 0.15 seconds
Distance = 400 x 0.15 = 60m
Acceleration = (400)^2 / (2 x 60) = 1333.33m/s^2
Force produced by the machine gun = 0.035 x 400 x 1333.33 = 1866.66N
Therefore, to keep the machine gun in position, a force of 1866.66N must be applied.
Conclusion
To keep the machine gun in position, a force must be applied equal to the force produced by the machine gun while firing. The force produced by the machine gun can be calculated using the formula Force = Mass x Acceleration. The acceleration can be calculated using the formula Acceleration = (Speed of bullets)^2 / (2 x Distance) and the distance can be calculated using the formula Distance = Rate of firing x Time taken to fire one bullet. Putting the values in these formulas, we can calculate the force produced by the machine gun and hence the force required to keep it in position.
To keep the machine gun in position, a force must be applied equal to the force produced by the machine gun while firing.
Calculating the Force Produced by the Machine Gun
Mass of the machine gun = 20kg
Mass of one bullet = 35g = 0.035kg
Rate of firing = 400 bullets per minute
Speed of bullets = 400m/s
The force produced by the machine gun while firing can be calculated using the formula:
Force = Mass x Acceleration
Acceleration can be calculated using the formula:
Acceleration = (Speed of bullets)^2 / (2 x Distance)
Distance can be calculated using the formula:
Distance = Rate of firing x Time taken to fire one bullet
Time taken to fire one bullet = 60 / Rate of firing
Putting the values in the above formulas, we get:
Time taken to fire one bullet = 60 / 400 = 0.15 seconds
Distance = 400 x 0.15 = 60m
Acceleration = (400)^2 / (2 x 60) = 1333.33m/s^2
Force produced by the machine gun = 0.035 x 400 x 1333.33 = 1866.66N
Therefore, to keep the machine gun in position, a force of 1866.66N must be applied.
Conclusion
To keep the machine gun in position, a force must be applied equal to the force produced by the machine gun while firing. The force produced by the machine gun can be calculated using the formula Force = Mass x Acceleration. The acceleration can be calculated using the formula Acceleration = (Speed of bullets)^2 / (2 x Distance) and the distance can be calculated using the formula Distance = Rate of firing x Time taken to fire one bullet. Putting the values in these formulas, we can calculate the force produced by the machine gun and hence the force required to keep it in position.
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A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position?
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A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in 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 has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position?.
A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in 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 has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun has a mass of 20kg it first 35g bullets at the rate of 400 bullet per minute with a speed of 400m/s what force must be applied to keep it in position?.
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