The average force necessary to stop a bullet of mass 20g moving with a speed of 250 m/s as it penetrates into wood for a distance of 12 cm
is.....
To calculate the average force necessary to stop a bullet, we can use the principle of work and energy.
The work done on the bullet to bring it to a stop is equal to the change in its kinetic energy. Therefore, we need to calculate the initial kinetic energy of the bullet and the work done on it as it penetrates into the wood.
First, let's calculate the initial kinetic energy of the bullet using the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Given:
mass of the bullet (m) = 20g = 0.02 kg
velocity of the bullet (v) = 250 m/s
Plugging these values into the formula, we get:
Kinetic Energy = (1/2) * 0.02 kg * (250 m/s)^2
Next, let's calculate the work done on the bullet. The work is given by the formula:
Work = force * distance
Given:
distance (d) = 12 cm = 0.12 m
The work done on the bullet is equal to the force required to stop it multiplied by the distance it penetrates into the wood. Thus, we can rearrange the equation to solve for force:
Force = Work / Distance
Plugging in the values, we get:
Force = Kinetic Energy / Distance
Substituting the values we calculated for kinetic energy and distance, we have:
Force = (1/2) * 0.02 kg * (250 m/s)^2 / 0.12 m
Evaluating this expression, we can find the average force necessary to stop the bullet.