A 4.0 g bullet leaves the muzzle of a rifle with a speed of 310 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.9 m long barrel of the rifle?
Force x distance = Work done on bullet
= kinetic energy increase = (1/2)MV^2
Solve for the Force
Hello. I keep repeating the problem and I get a huge number.
Show your work. Make sure the mass of the bullet is converted to kg.
F = (1/2) M V^2 / (0.9 m)
The answer will be in Newtons if m is in kg and V is in m/s.
it worked now.. thank you.. i forgot to convert!
A force of 2.3 N is exerted on a 6.6 g rifle bullet. What is the bullet's acceleration
A 4.1-g bullet leaves the muzzle of a rifle with a speed of 300 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.81-m-long barrel of the rifle?
my answer is 214N. is that right?
rigth
right
To calculate the force exerted on the bullet while it is traveling down the barrel of the rifle, we can make use of Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, we need to find the acceleration of the bullet. We can use the equation for acceleration:
Acceleration = (Final Velocity - Initial Velocity) / Time
Since the bullet leaves the muzzle of the rifle with a speed of 310 m/s and assuming it starts from rest, the initial velocity is 0 m/s. We can assume the bullet accelerates uniformly, so the final velocity is also 310 m/s. Therefore, the acceleration of the bullet is (310 - 0) / Time.
Now, we need to find the time it takes for the bullet to travel down the 0.9 m long barrel of the rifle. We can use the equation for average velocity:
Average Velocity = Distance / Time
In this case, the average velocity is (0 + 310) / 2 = 155 m/s (since the initial velocity is 0 m/s). We know the distance is 0.9 m, so we can rearrange the equation to solve for time:
Time = Distance / Average Velocity
Substituting the values, we get Time = 0.9 m / 155 m/s.
Now, we can substitute the value of time back into the equation for acceleration:
Acceleration = (310 - 0) / (0.9 / 155)
After simplifying, we get the acceleration of the bullet.
Finally, we can use Newton's second law of motion to calculate the force:
Force = Mass * Acceleration
Given that the mass of the bullet is 4.0 g (which is equivalent to 0.004 kg), we can substitute the values and calculate the force exerted on the bullet while it is traveling down the barrel of the rifle.