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Bullet 5 g. 100 metre per sec. Penetrates wooden block by 6 cm. Comes to rest. Find average force by block?
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Bullet 5 g. 100 metre per sec. Penetrates wooden block by 6 cm. Comes ...
Here too we use equation of motion
v^2 = u^2 + 2as
2as = v^2 - u^2
2 x a x (6/100) = 0 - (100)^2
12a / 100 = - 10000
a = -1000000 / 12 m/s^2
This is the average retardation of the bullet
Avg force F = m a
= (5/1000) x 1000000 / 12 = 416.66 N
approx 417 newton
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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 has now been replaced by the ballistic chronograph, an electronic devic e).A ballistic pendulum of 1 kg is fired with a bullet of mass 1 g. If the pendulum rises 2 cm, find the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?

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Bullet 5 g. 100 metre per sec. Penetrates wooden block by 6 cm. Comes to rest. Find average force by block?
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