How Does The Velocity Of The Fired Cannonball Compare To The Recoiling Cannon?

by | Last updated on January 24, 2024

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The velocity of the cannonball is

equal and opposite to the velocity of the cannon

.

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When a cannon is fired the acceleration of the cannon and cannonball are different because?


Newton’s third law

states that for every action there must be an equal and opposite reaction, so the forces on the cannon and cannonball are equal in magnitude (but not direction). and the mass of the cannon is larger than the mass of the cannonball, so the acceleration is lesser for the cannon than for the cannonball.

What is the velocity v of the recoiling cannon with respect to the earth?

The recoil velocity of the cannon is

0.5 m/s backward

. You can regard the recoil velocity as an instantaneous event, in the idealized experiment, whereas the gravity pulling the cannon down the plane operates over time.

What is the velocity of the cannon?

Since the cannonball has a momentum of 300 kg m/s, the cannon will also have a momentum of 300 kg m/s in the opposite direction, aka it will recoil with a velocity of

3m/s

.

What is the acceleration of a cannonball once it leaves the cannon?

Once she leaves the barrel of the cannon, the human cannonball is an object in free fall. Her acceleration is the acceleration due to gravity on Earth —

9.8 m/s

2

down

.

How does the acceleration of the cannon compare with the acceleration of the cannonball Why is this?

How does the acceleration of the cannon compare with that of the cannonball? Same;

acceleration is large for the cannonball, but small for the cannon

. How can a rocket be propelled above the atmosphere where there is no air to “push against”? It is propelled by the reaction force of the gas pushing on the rocket.

Why is the acceleration greater on the cannonball?

When a cannon is fired, the force that the cannon exerts on the cannonball (“action” force) is exactly the same size as the force the cannonball exerts on the cannon (“reaction” force). … Since

the cannonball has a small mass

, it gets a large acceleration (A

cannonball

= F

cannonball

/m

cannonball

).

Why is the cannon’s recoil speed so much less than the ball’s speed?

Just like in collisions, total system momentum is conserved. … The cannon experienced the same impulse, changing its momentum from zero to a final value as it recoils backwards. Due to the relatively larger mass of the cannon, its

backwards recoil speed

is considerably less than the forward speed of the tennis ball.

What is the recoil velocity of a rifle?

Recoil velocity is

the backward velocity experienced by a shooter when one shoots a bullet

. Due to the recoil velocity the shooter experiences a backward jerk. The recoil velocity is the result of conservation of linear momentum of the system.

How do you find the velocity?

To figure out velocity,

you divide the distance by the time it takes to travel that same distance, then you add your direction to it

. For example, if you traveled 50 miles in 1 hour going west, then your velocity would be 50 miles/1 hour westwards, or 50 mph westwards.

What is the total momentum of the cannon and shell before firing and after firing?

(i) The total momentum of both canon and shell before firing

is zero

, because both are at rest. (ii) According to the law of conservation of momentum, total momentum of the cannon and shell after firing is also zero.

What is the acceleration of a cannonball?

Yet in actuality, gravity causes the cannonball to accelerate downwards at a rate of

9.8 m/s/s

. This means that the vertical velocity is changing by 9.8 m/s every second.

What is the magnitude of the momentum of the cannon immediately after the shell is fired you may assume that the cannon is initially at rest?

Before the cannon is fired (the ‘event’) the total momentum is

zero

. This is because neither object is moving. The total momentum of the cannon and the cannon ball after being fired is also zero, with the cannon and cannon ball moving in opposite directions.

Is velocity a speed?

Speed is the time rate at which an object is moving along a path, while

velocity is the rate and direction of an object’s movement

. … For example, 50 km/hr (31 mph) describes the speed at which a car is traveling along a road, while 50 km/hr west describes the velocity at which it is traveling.

Why does a cannonball fired from a longer barrel travel farther?

impulse. … The longer barrel provides for a longer time for the force to act, and therefore, a greater impulse. A cannonball shot from a cannon with a long barrel will emerge with greater speed

because the cannonball receives a greater

..

Which object cannonball or cannon had the greatest acceleration explain your answer using Newton’s 3rd law?


The cannonball

undergoes more acceleration than the cannon because its mass is much smaller. Interestingly enough, in the interaction between the boulder and Earth, shown in Figure 7.6, the boulder pulls up on Earth with as much force as Earth pulls down on the boulder.

Why does a cannon recoil when it fires a cannonball explain using Newton’s 3rd law?

A cannonball firing from a cannon is often given as an example of Newton’s third law. The explanation goes like this:

The cannon exerts a force on the cannonball and thus the cannonball exerts an equal but opposite force on the cannon.

When a rifle is fired How does the size of the force?

“When a rifle shoots a bullet, Newton’s Third Law says that the force that

the rifle exerts on the bullet is exactly the same size as the force that the bullet exerts on the rifle

– yet the bullet gets a much greater acceleration than the rifle.

Can you physically touch a person without?

No,

one cannot physically touch

a person without that person touching him with the same amount of force.

Why can you exert a greater force on the pedals?

When you pull up with your hands on the handle bars, the reaction force means

your body must have an equal force going downward

. This will add force to your feet on the pedals.

When a racquet hits a tennis ball action and reaction forces?

The racquet does not swing backwards because the force of your arm keeps it from going back. The action force is the ball hitting the racquet (which your arm “absorbs”), the reaction force is the

racquet pushing back on the ball

causing it to go back across the net.

Is recoil velocity final velocity?

The final velocity of the gun =

Recoil velocity of the

gun.

Why does gun recoil when a bullet is fired derive an expression for recoiling velocity of gun?

When a bullet is fired from the gun, due to reaction force ,

the gun recoils in the direction opposite to the motion of bullet

. The velocity with which it recoils is called as Recoil Velocity. Derivation For recoil velocity of Gun: … Total momentum before recoil = Total momentum after recoil.

Is recoil velocity negative?

The negative sign implies that the direction of recoil velocity

is opposite to the direction of the velocity of a bullet or cannonball

.

How does Dr Hewitt break the piece of wood?

How does Dr. Hewitt break the piece of wood?

He causes a change in momentum of his hand over a short period of time

.

Why do the cannon and cannonball cancel out each others momentum?

After the firing occurs, both the cannon and cannonball have the same momentum (big mass, small velocity vs. small mass, big velocity). But

since the momentum for each is moving in the opposite direction, the momentums cancel out

, causing the cannon-cannonball system’s momentum to equal zero.

What do mean by recoiling of gun?

A gun’s recoil, or kickback, is

the backward movement a shooter feels when the bullet is discharged

. When a gun exerts a force on a bullet as it’s launching it forward, the law of physics says the bullet will exert an equal force in the opposite direction of the gun.

What do you mean by recoil velocity of the gun?


the velocity with which a gun moves in the backward direction when a bullet is shot

is known as recoil velocity of the gun.

How do you find velocity after a collision?

If two particles are involved in an elastic collision, the velocity of the second particle after collision can be expressed as:

v2f=2⋅m1(m2+m1)v1i+(m2−m1)(m2+m1)v2i v 2 f = 2 ⋅ m 1 ( m 2 + m 1 ) v 1 i + ( m 2 − m 1 ) ( m 2 + m 1 ) v 2 i

.

When an object speeds up does it gain momentum?

TRUE – Momentum is calculated as the product of mass and velocity. As the speed of an object increases, so

does its velocity

. As a result, an increasing speed leads to an increasing momentum – a direct relationship.

What muzzle velocity means?

:

the speed of a projectile at the moment of leaving the muzzle of a gun

.

How do you find final velocity?

Final Velocity Formula


vf=vi+aΔt

. For a given initial velocity of an object, you can multiply the acceleration due to a force by the time the force is applied and add it to the initial velocity to get the final velocity.

How do you calculate work velocity?

Assume friction is negligible in your calculations, so that the work done on the object equals its kinetic energy.

Take the square root of the number on the left side of the equation to find the velocity

. For example, the square root of 28.6 equals 5.3, so the velocity is 5.3 m/s.

When a cannonball is fired from a cannon both the cannonball and the cannon experience equal magnitudes?


Newton’s third law

states that for every action there must be an equal and opposite reaction, so the forces on the cannon and cannonball are equal in magnitude (but not direction). and the mass of the cannon is larger than the mass of the cannonball, so the acceleration is lesser for the cannon than for the cannonball.

What type of collision is a cannon?

An object being fired from a cannon is also a collision where momentum must be conserved. As the momentum before the ‘collision’ is zero, the momentum after the collision is zero. In physics, this type of event is termed an

explosion

.

What is the relationship between the forces acting on the cannon and the ball?

A non-zero net force on the ball produces a huge change in its momentum. Viewing the cannonball on its own as the explosion occurs, a

net force acts in the horizontal direction

(the normal force from the cannon’s barrel and the weight of the ball cancel one another in the vertical direction.

What is the acceleration of a cannonball once it leaves the cannon?

Once she leaves the barrel of the cannon, the human cannonball is an object in free fall. Her acceleration is the acceleration due to gravity on Earth —

9.8 m/s

2

down

.

How do you find momentum?

The Momentum Calculator uses the formula

p=mv

, or momentum (p) is equal to mass (m) times velocity (v).

Do they still use cannons?


The US military still uses cannons

. Most militaries do. They’re just known as “guns” and “howitzers” now. The difference between a gun and a howitzer is in the angle it fires at.

What is the velocity of a cannonball?

It seems likely to be in

between 250 and 100 m/s

(250 m/s is about 820 feet per second).

What is the terminal velocity of a cannonball?

The range of speeds at which these cannonballs travelled was from a muzzle velocity of ~700 m/sec, to a terminal velocity of

~100 m/sec

, so the Reynolds numbers will range from 8×10

6

down to 3×10

5

. This range of Reynolds numbers straddles the critical value where the sharp drop in drag occurs.

What is the initial velocity of a cannonball?

A cannon ball is shot from ground level towards a target. Its initial velocity is

v

0

= 125 m/s

at an angle θ = 37 degrees with the horizontal. Neglect air resistance.

Jasmine Sibley
Author
Jasmine Sibley
Jasmine is a DIY enthusiast with a passion for crafting and design. She has written several blog posts on crafting and has been featured in various DIY websites. Jasmine's expertise in sewing, knitting, and woodworking will help you create beautiful and unique projects.