# Hunter's Recoil Speed from Rifle Shot

• henry3369
In summary, a hunter on a frictionless pond fires a rifle with 4.20g bullets at 950m/s and holds tightly to the gun. With a mass of 72.5kg, the hunter fires the rifle at 52.0∘ above the horizontal. Using conservation of momentum in the x and y directions, the recoil speed of the hunter is 0.0339 m/s. The hunter is not free to recoil in the y-direction as they are already on the ice surface.
henry3369

## Homework Statement

A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20g bullets at 950m/s . The mass of the hunter (including his gun) is 72.5kg , and the hunter holds tight to the gun after firing it.

Find the recoil speed of the hunter if he fires the rifle at 52.0∘ above the horizontal.

## The Attempt at a Solution

Vx = 950cos(52)
Vy = 950sin(52)

Conservation of Momentum in the x-Direction:
m1v1' = -m2v2'
(72.5)v1' = (-0.0042)(950cos(52))
v1' = -0.033882611 m/s

Conservation of Momentum in the y-Direction:
m1v1' = -m2v2'
(72.5)(v1') = (-0.0042)(950sin(52))
v1' = -0.043367764 m/s

vf = sqrt(0.0338826112+0.0433677642) = 0.055 m/s

The correct answer is 0.0339 m/s

What am I doing incorrectly?

Is the hunter free to recoil in the Y-direction?

gneill said:
Is the hunter free to recoil in the Y-direction?
I know that the hunter wouldn't move in the y-direction, but wouldn't there still be an initial velocity in the y-direction? Similar to how if an object is dropped, it has a y-component of velocity right as it hits the ground.

henry3369 said:
I know that the hunter wouldn't move in the y-direction, but wouldn't there still be an initial velocity in the y-direction? Similar to how if an object is dropped, it has a y-component of velocity right as it hits the ground.
The hunter is already on the ice surface. Any velocity in the downward direction would have to include the ice and the rest of the planet.

## 1. What is hunter's recoil speed from rifle shot?

Hunter's recoil speed from rifle shot is the speed at which the rifle recoils or kicks back after shooting. It is a measure of the force exerted on the hunter's body when shooting a rifle.

## 2. How is hunter's recoil speed measured?

Hunter's recoil speed is measured in feet per second (fps) or meters per second (m/s). It can be measured using a specialized recoil measuring device or by calculating the velocity of the rifle's recoil using a high-speed camera.

## 3. What factors affect hunter's recoil speed?

The main factors that affect hunter's recoil speed include the type and weight of the rifle, the caliber and type of ammunition used, and the hunter's body position and stance while shooting.

## 4. Why is hunter's recoil speed important?

Hunter's recoil speed is important because it can affect the accuracy and comfort of shooting. A higher recoil speed can make the rifle harder to control and lead to inaccurate shots, while a lower recoil speed can provide a more comfortable shooting experience.

## 5. How can I reduce hunter's recoil speed?

There are several ways to reduce hunter's recoil speed, such as using a rifle with less weight or a softer recoil pad, using a lower caliber or lighter ammunition, and practicing proper shooting techniques and body positioning to absorb the recoil.

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