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From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 ms-1. Calculate the initial recoil velocity of the rifle.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Given that, Mass of the rifle, M = 4kg, And Mass of bullet, m = 50g. Initial velocity of bullet, v = 35 ms-1
Now we have to find Initial recoil velocity
Here consider the formula, we get
Total momentum prior to a collision equals total momentum following a collision, according to the law of conservation of momentum.
Gun and bullet velocity are both 0 prior to firing, therefore
0 = MV + mv
MV = – mv
V = -mv/M
Substituting the values
V = -50 x 35/ 4 x 1000
V = -7/16
V = -0.4375 ms-1
Table of content
The recoil velocity of the gun is -0.4375 ms-1. The negative symbol indicates that the recoil velocity will act in the opposite direction to the bullet’s direction of travel.
Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs.
There are four equations for starting velocity:
(1) The starting velocity is stated as u = v – at if time, acceleration, and final velocity are given.
(2) If the end speed, acceleration, and distance are given, we employ:
u2 = v2 – 2as
(3) The initial velocity is if distance, acceleration, and time are provided
u = s/t – ½ at
Where,
Initial velocity is equal to u, the final velocity is equal to v, time is equal to t, displacement is equal to s, and acceleration is equal to a.
(4) Initial velocity is if final velocity, distance, and time are given.
u = 2 (s/t) – v
Summary:
From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 ms-1. Calculate the initial recoil velocity of the rifle.
A 50 g bullet with an initial velocity of 35 m/s is fired from a 4 kilogramme rifle. The rifle’s initial recoil velocity is -0.4375 ms-1. To calculate this, you can take reference from the above calculation.
