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A child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun if the mass of each bullet be 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second.
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A child suspends a steel disc in a vertical plane by means of a thread...
Problem:
A child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun. If the mass of each bullet is 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with the same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second.

Solution:

Step 1: Analyzing the situation
- The child is shooting bullets at a steel disc suspended in a vertical plane by a thread.
- The bullets have a mass of 2.0 g and are shot with a velocity of 11 m/s.
- The bullets return with the same velocity after striking the disc.
- The child is firing 3 bullets per second.

Step 2: Understanding the concept of force
- Force is a vector quantity that is defined as the rate of change of momentum.
- The momentum of an object is given by the product of its mass and velocity.
- The change in momentum of an object can be calculated by subtracting its initial momentum from its final momentum.

Step 3: Calculating the initial momentum of the bullet
- The initial momentum of the bullet can be calculated using the formula:
Momentum = mass x velocity
- The mass of each bullet is given as 2.0 g, which is equivalent to 0.002 kg.
- The velocity of the bullet is given as 11 m/s.
- Therefore, the initial momentum of the bullet is:
Momentum = 0.002 kg x 11 m/s
Momentum = 0.022 kg*m/s

Step 4: Calculating the final momentum of the bullet
- Since the bullet returns with the same velocity, its final momentum will also be the same as its initial momentum.
- Therefore, the final momentum of the bullet is also 0.022 kg*m/s.

Step 5: Calculating the change in momentum of the bullet
- The change in momentum of the bullet can be calculated by subtracting its initial momentum from its final momentum.
- Change in momentum = Final momentum - Initial momentum
Change in momentum = 0.022 kg*m/s - 0.022 kg*m/s
Change in momentum = 0 kg*m/s

Step 6: Calculating the average force exerted on the disc
- The average force exerted on the disc can be calculated using the formula:
Average force = Change in momentum / Time
- The child is firing 3 bullets per second, so the time interval between each bullet is 1/3 seconds.
- Therefore, the average force exerted on the disc is:
Average force = 0 kg*m/s / (1/3 s)
Average force = 0 kg*m/s * 3 s
Average force = 0 N

Step 7: Conclusion
The average force exerted on the disc by the bullets is 0 N. This means that the bullets do not exert any average force on the disc during the time interval between each shot.
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A child suspends a steel disc in a vertical plane by means of a thread...
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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).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.

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).The ballistic pendulum was invented by a

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).In ballistic pendulum the collision is

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A child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun if the mass of each bullet be 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second.
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A child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun if the mass of each bullet be 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second. 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 child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun if the mass of each bullet be 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A child suspends a steel disc in a vertical plane by means of a thread. Then he shoots bullets on the disc by a toy gun if the mass of each bullet be 2.0 g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity, then what average force is being exerted on the disc? The child is firing 3 bullets per second..
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