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PLEASE ANSWER THIS PHYSICS PROBLEM . A machine gun fires a bullet of mass 40 grams with speed of 1200m/s.The person holding the gun can exert a maximum force of 144N.What is the number of bullets passing from the gun per second?
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Calculating the Number of Bullets Passing from the Gun Per Second:

- Step 1: Calculate the Force Exerted by the Bullet
- The force exerted by the bullet can be calculated using the formula: Force = mass x acceleration.
- The acceleration of the bullet can be calculated using the formula: v^2 = u^2 + 2as, where v is the final velocity (1200 m/s), u is the initial velocity (0 m/s), a is the acceleration, and s is the distance traveled.
- Solving for acceleration gives us a = (v^2)/(2s).
- The force exerted by the bullet is then F_bullet = mass x (v^2)/(2s).

- Step 2: Calculate the Acceleration of the Bullet
- Given that the person holding the gun can exert a maximum force of 144N, the acceleration of the bullet must be less than or equal to 144N/40g.
- Convert the mass of the bullet from grams to kilograms by dividing by 1000: 40g = 0.04kg.
- The maximum acceleration of the bullet is then a_max = 144N / 0.04kg.

- Step 3: Calculate the Distance Traveled by the Bullet
- The distance traveled by the bullet in one second is equal to the muzzle velocity of the bullet (1200 m/s).
- Therefore, the distance traveled by the bullet in one second is s = 1200 m.

- Step 4: Calculate the Number of Bullets Passing from the Gun Per Second
- Substituting the values obtained in Step 2 and Step 3 into the formula for the force exerted by the bullet, we get F_bullet = 0.04kg x (1200^2)/(2 x 1200) = 144N.
- Therefore, the number of bullets passing from the gun per second is 1.

In conclusion, the person holding the gun can fire 1 bullet per second at the maximum force they can exert.
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Ballistic pendulumThe ballistic pendulum was invented in 1742 by English mathematician Benjamin Robins. A Ballistic Pendulum is a device for measuring a bullet’s momentum and speed by employing perfectly inelastic collision. A large wooden block suspended by two cords serves as the pendulum bob. When a bullet is fired into the bob, it gets embedded in the bob and its momentum is transferred to the bob. The bullet’s momentum and velocity can be determined from the amplitude of the pendulum swing. The velocity of the bullet, in turn, can be derived from its calculated momentum.After collision, if the pendulum reaches a height h, then from principle of conservation of mechanical energywhere,m = mass of bulletM = mass of the bobvP = velocity of the bob-bullet combination∴ Now, Momentum before collision = Momentum after collisionwhere,vB = velocity of bullet∴ The ballistic pendulum used to be a common tool for the determination of the muzzle velocity of bullets as a measure of the performance of firearms and ammunition (Nowadays, the ballistic pendulum. has now been replaced by the ballistic chronograph, an electronic devic e).Which two principles of Physics are applied to find the velocity of the bullet?

Ballistic pendulumThe ballistic pendulum was invented in 1742 by English mathematician Benjamin Robins. A Ballistic Pendulum is a device for measuring a bullet’s momentum and speed by employing perfectly inelastic collision. A large wooden block suspended by two cords serves as the pendulum bob. When a bullet is fired into the bob, it gets embedded in the bob and its momentum is transferred to the bob. The bullet’s momentum and velocity can be determined from the amplitude of the pendulum swing. The velocity of the bullet, in turn, can be derived from its calculated momentum.After collision, if the pendulum reaches a height h, then from principle of conservation of mechanical energywhere,m = mass of bulletM = mass of the bobvP = velocity of the bob-bullet combination∴ Now, Momentum before collision = Momentum after collisionwhere,vB = velocity of bullet∴ The ballistic pendulum used to be a common tool for the determination of the muzzle velocity of bullets as a measure of the performance of firearms and ammunition (Nowadays, the ballistic pendulum. has now been replaced by the ballistic chronograph, an electronic devic e).A ballistic pendulum of 1 kg is fired with a bullet of mass 1 g. If the pendulum rises 2 cm, find the velocity of the bullet.

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PLEASE ANSWER THIS PHYSICS PROBLEM . A machine gun fires a bullet of mass 40 grams with speed of 1200m/s.The person holding the gun can exert a maximum force of 144N.What is the number of bullets passing from the gun per second?
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