The concept required to solve the given problem is the law of conservation of linear momentum.
Calculate the velocity of man with the help of law of conservation of linear momentum.
Law of conservation of linear momentum: It states that when no external force acts on a body the momentum remains conserved. Mathematically the statement may be expressed as,
Here, is the initial and final momentum of the body into consideration.
Momentum is given by,
Here, is the mass and is the velocity of the body.
The initial velocity of the man with rifle is,
The initial velocity of the bullet is,
Apply the law of conservation of linear momentum.
Here, is the mass of the man and rifle together, is the mass of bullet, is the initial velocity of the man and the rifle together, is the initial velocity of the bullet, is the final velocity of the man and rifle together and is the final velocity of the bullet.
Rearrange the above equation.
……(1)
Substitute for , for , for , and for in equation (1).
Ans:
The final speed of the man is .
A man standing on very slick ice fires a rifle horizontally. The mass of the man...
In principle, when you fire a rifle, the recoil should push you backward. How big a push will it give? Let's find out by doing a calculation in a very artificial situation. Suppose a man standing on frictionless ice fires a rifle horizontally. The mass of the man together with the rifle is 70 kg, and the mass of the bullet is 10 g. If the bullet leaves the muzzle at a speed of 500 m/s, what is the final...
AP PHYSICS I - UNIT 4- tomentum and Impulse Problem Set 12-2 Due 11/21 2. A man standing on very slick ice fires a rifle horizontally. The mass of the man together with the rifle is 70 kg, and the mass of the bullet is 10 g. The bullet leaves the muzzle at a speed of 500 m/s. a. Explain why the man will move backwards after he fires the gun. b. Calculate the speed at which the man recoils....
A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle their speed is given by v (-4.75 10t2(2.55 x 105)t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a) Determine the acceleration (in m/s) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following...
. A rifle that weights 1.5 kg fires a 6 g bullet. The bullet leaves the rifle traveling at 700 m/s. What is the recoil speed of the rifle?
A Styer AMR (Anti-Materiel Rifle) with a mass of 18 kg fires a fires a 20 gram bullet to have a muzzle velocity of 1450 m/s. The average time it takes to reach that muzzle velocity is 0.004 seconds. Since you are holding the gun to keep it horizontal and pushing back on the recoil to keep the AMR stationary.. a) Draw an appropriate momentum diagram for this process... b) And determine the average force you apply to the Styer...
A rifle with a weight of 25 N fires a 5.5-9 bullet with a speed of 230 m/s. (a) Find the recoil speed of the rifle. m/s (b) If a 800-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. m/s
A rifle fires a bullet. When the bullet leaves the barrel, it has a speed of 125 m/s. If the barrel is 45 cm long, what is the average acceleration of the bullet?
Forensic scientists can determine the speed at which a rifle fires a bullet by shooting into a heavy block hanging by a wire. As the bullet embeds itself in the block, the block and embedded bullet swing up; the impact speed is determined from the maximum angle of the swing (a) Which would make the block swing higher, a 0.204 Ruger bullet of mass 2.14 g and muzzle speed 1290 m/s or a 7-mm Remington Magnum bullet of mass 9.71...
If a bullet leaves the muzzle of a rifle with a speed of 600m/s, and the barrel ofthe rifle is 0.9m long, what is the acceleration of the bullet while in the barrel?
(cBp54) A 30-caliber rifle with a mass of 3.04 kg fires a 7.33- g bullet with a speed of 626 m/s with respect to the ground. What kinetic energy is released by the explosion of the qunpowder that fires the bullet? (Note there is a tolerance 0.1 percent for the answer) Submit Answer Tries 0/10