# How is horizontal range affected?

• splitline
In summary: For this experiment he let us shoot at a distance of 10 feet from the can and we found that the BB hit the can with an average accuracy of about 80% at that distance. So it seems that the ball retains some horizontal velocity even when it's all the way down on the ground.In summary, the ball retained some horizontal velocity even when it was all the way down on the ground.
splitline
I have this question from my book I really don't understand what they are asking for;
A spring loaded gun is aimed horizontally and is used to launch two kind of weight of balls with different initial speeds and gravitational accelerations. The Gun is fixed position above the floor. The balls are fired one at a time. How the horizontal range affected for each case? Note: M =2m, G=2g, and V=2v.

Here is one of the questions:
Conditions:
Use a ball whose mass is m, with the initial velocity V, and under gravitiational acceleration g.

Result: (e.g. The ball hit the ground at R from the gun as shown above.)

Reasons: (From which formulas you can derive the answer?)

Don't really understand what velocity since V = 2v?

Welcome to PF!

Hi splitline! Welcome to PF!

They're asking how r relates to R … is it r = R, r = 2R, r = (√2)R, r = 4R, r = 8R, r = r/2, or what?

So you have to find the formula for R in terms of V G and M, and see how it changes the result if V G and M are halved.

This may not be exactly relevant to your question but it might provide some insight. My high school physics teacher did an experiment for us with a tin can and a BB gun (probably totally politically incorrect these days to have a BB gun at school considering all the people who have been shot and killed by them lol) He hung the can from a string with a release mechanism that was tied to the trigger of the BB gun. The BB gun is bore sighted to the can. Theoretically no matter how far away the BB gun is from the can, the BB will hit the falling can as long as it retains some horizontal velocity to reach the can.

## 1. How does angle affect horizontal range?

The horizontal range is affected by the initial angle at which an object is launched. As the angle increases, the horizontal range also increases. This is because at higher angles, the vertical component of the launch velocity decreases, while the horizontal component remains constant. This results in a longer horizontal displacement.

## 2. Does air resistance affect horizontal range?

Air resistance can have a significant impact on the horizontal range of a projectile. This is because air resistance acts in the opposite direction of the motion of the object, slowing it down. As a result, the horizontal range will be shorter than it would be without air resistance.

## 3. How does initial velocity affect horizontal range?

The initial velocity of a projectile also affects its horizontal range. As the initial velocity increases, the horizontal range also increases. This is because a higher initial velocity means a higher horizontal velocity, which results in a longer horizontal displacement.

## 4. Does mass affect horizontal range?

The mass of a projectile has no direct effect on its horizontal range. As long as the initial velocity and angle are constant, the horizontal range will remain the same regardless of the mass of the object. However, a heavier object may experience more air resistance, which can indirectly affect its horizontal range.

## 5. How does gravity affect horizontal range?

Gravity has a significant impact on the horizontal range of a projectile. As the force of gravity acts in the downward direction, it causes the vertical component of the launch velocity to decrease over time. This results in a shorter horizontal range compared to a scenario with no gravity.

• Introductory Physics Homework Help
Replies
5
Views
319
• Introductory Physics Homework Help
Replies
7
Views
2K
• Mechanics
Replies
8
Views
2K
• Introductory Physics Homework Help
Replies
6
Views
2K
• Other Physics Topics
Replies
62
Views
8K
• Introductory Physics Homework Help
Replies
38
Views
2K
• Introductory Physics Homework Help
Replies
14
Views
2K
• Other Physics Topics
Replies
8
Views
2K
• Mechanics
Replies
17
Views
17K
• Mechanics
Replies
4
Views
903