a bullet of mass 20gm if fired with a velocity of 250m/s, from a pistol of mass 2.5kg , then caluculate the recoil velocity
conserve momentum.
0.020 * 250 = 2.5v
A bullet of mass 20g is horizolly find with a velocity of 250m/s from a pistol of a mass 52kg what is recoil velocity of the pistol
A bullet of mass 50g is horizolly find with a velocity of 250m/s from a pistol of a mass 5kg what is recoil velocity of the pistol
To calculate the recoil velocity of the pistol, we can use the principle of conservation of momentum. The total momentum before firing the bullet is equal to the total momentum after firing the bullet.
The momentum of an object is defined as the product of its mass and velocity. Therefore, the momentum of the bullet is given by the equation:
Momentum of bullet = mass of bullet × velocity of bullet
Substituting the given values, we have:
Momentum of bullet = 20 g × 250 m/s
However, it is recommended to convert the units to SI units (kilograms). So, 20 grams can be converted to 0.02 kilograms (since 1 kg = 1000 g).
Therefore,
Momentum of bullet = 0.02 kg × 250 m/s
Next, we can calculate the momentum of the pistol. Similar to the bullet, the momentum of the pistol is given by the equation:
Momentum of pistol = mass of pistol × velocity of pistol
Substituting the given values, we have:
Momentum of pistol = 2.5 kg × velocity of pistol
Since the total momentum before firing is equal to the total momentum after firing, we can write the equation:
Momentum of bullet + Momentum of pistol = 0
So,
0.02 kg × 250 m/s + 2.5 kg × velocity of pistol = 0
Simplifying the equation, we have:
5 kg m/s + 2.5 kg × velocity of pistol = 0
Rearranging the equation to solve for velocity of pistol, we can isolate the variable:
2.5 kg × velocity of pistol = -5 kg m/s
Dividing both sides of the equation by 2.5 kg, we get:
velocity of pistol = -5 kg m/s ÷ 2.5 kg
Simplifying, we find:
velocity of pistol = -2 m/s
Therefore, the recoil velocity of the pistol is -2 m/s. The negative sign indicates that the pistol moves in the opposite direction of the bullet when it is fired.