A 16.5 kg rifle, initially at rest, fires a 380 g bullet at a muzzle velocity of 770 m/s. Assumethat the time of acceleration along the barrel is 44.0 milliseconds.a) What is the average force on the bullet?
Question
A 16.5 kg rifle, initially at rest, fires a 380 g bullet at a muzzle velocity of 770 m/s. Assumethat the time of acceleration along the barrel is 44.0 milliseconds.a) What is the average force on the bullet?
Solution
To find the average force on the bullet, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma).
First, we need to find the acceleration of the bullet. Acceleration is the change in velocity over time.
Given:
- Initial velocity (u) = 0 m/s (since the rifle is initially at rest)
- Final velocity (v) = 770 m/s (muzzle velocity)
- Time (t) = 44.0 milliseconds = 0.044 seconds (converted from milliseconds to seconds)
We can calculate acceleration (a) using the formula a = (v - u) / t:
a = (770 m/s - 0 m/s) / 0.044 s = 17500 m/s²
Next, we need to convert the bullet's mass from grams to kilograms, since the standard unit of mass in physics is the kilogram:
Mass (m) = 380 g = 0.38 kg
Finally, we can find the force (F) using the formula F = ma:
F = 0.38 kg * 17500 m/s² = 6650 N
So, the average force on the bullet is 6650 Newtons.
Similar Questions
A rifle has a mass of 4.15 kg and it fires a bullet of mass 13.3 g at a muzzle speed of 823 m/s. What is the recoil speed of the rifle as the bullet leaves the gun barrel?
An 7.39-g bullet is shot into a 4.00-kg block, at rest on a frictionless horizontal surface. The bullet remains lodged in the block.The block moves into a spring and compresses it by 15.1 cm before stopping. The force constant of the spring is 1,842 N/m.What was the initial velocity of the bullet?Express your answer in m/s.
During a ballistic test designed to measure the muzzle velocity of a rifle, a 7.30 g bullet is fired into a 5.60 kg wooden block of mass sitting on a table. The block slides 14.3 cm across the table after the bullet becomed embedded into it befroe it comes to rest. The coefficient of kinteic friction between the table and the block is 0.200. What was the speed of the bullet before it entered the block?
A 7.80 g bullet moving at 575 m/s strikes the hand of a superhero, causing the hand tomove 5.50 cm in the direction of the bullet’s velocity before stopping.(a) Use work and energy considerations to find the average force that stops the bullet.(b) Assuming the force is constant, determine how much time elapses between themoment the bullet strikes the hand and the moment it stops moving.
A machine gun fires 60.0 gram bullets at a rate of 6 bullets per second. If the speed of the bullets is 600 m/s, then the magnitude of the average recoil force on the machine gun is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.