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A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is?
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A machine gun fire 240 bullets for minute with the mass of which polit...
Understanding the Problem
To determine the power of the machine gun in kilowatts, we need to calculate the kinetic energy of the bullets fired and the rate at which this energy is expended.
Key Data
- Bullets per minute: 240
- Mass of each bullet: 10 grams (0.01 kg)
- Velocity of each bullet: 600 m/s
Calculating Kinetic Energy
The kinetic energy (KE) of a single bullet can be calculated using the formula:
- KE = 0.5 × mass × velocity^2
For one bullet:
- KE = 0.5 × 0.01 kg × (600 m/s)²
- KE = 0.5 × 0.01 × 360000
- KE = 1800 Joules
Total Energy per Minute
Now, to find the total energy expended in one minute by firing 240 bullets:
- Total Energy = KE × Number of bullets
- Total Energy = 1800 J × 240
- Total Energy = 432000 Joules
Calculating Power
Power is defined as the rate of energy transfer per unit time. Since we are calculating power in kilowatts (kW), we need to convert the total energy per minute into seconds:
- Power (P) = Total Energy / Time
- Time = 1 minute = 60 seconds
- P = 432000 J / 60 s
- P = 7200 Watts or 7.2 kW
Final Result
Thus, the power of the machine gun is 7.2 kW. This indicates the rate at which the gun expends energy to fire bullets.
To determine the power of the machine gun in kilowatts, we need to calculate the kinetic energy of the bullets fired and the rate at which this energy is expended.
Key Data
- Bullets per minute: 240
- Mass of each bullet: 10 grams (0.01 kg)
- Velocity of each bullet: 600 m/s
Calculating Kinetic Energy
The kinetic energy (KE) of a single bullet can be calculated using the formula:
- KE = 0.5 × mass × velocity^2
For one bullet:
- KE = 0.5 × 0.01 kg × (600 m/s)²
- KE = 0.5 × 0.01 × 360000
- KE = 1800 Joules
Total Energy per Minute
Now, to find the total energy expended in one minute by firing 240 bullets:
- Total Energy = KE × Number of bullets
- Total Energy = 1800 J × 240
- Total Energy = 432000 Joules
Calculating Power
Power is defined as the rate of energy transfer per unit time. Since we are calculating power in kilowatts (kW), we need to convert the total energy per minute into seconds:
- Power (P) = Total Energy / Time
- Time = 1 minute = 60 seconds
- P = 432000 J / 60 s
- P = 7200 Watts or 7.2 kW
Final Result
Thus, the power of the machine gun is 7.2 kW. This indicates the rate at which the gun expends energy to fire bullets.
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A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is?
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A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is?.
A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun fire 240 bullets for minute with the mass of which politics 10 gram and the velocity of the bullet is 600 m per second in the Power in kilowatt of the gun is?.
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