How do you do projectile problems in physics?

What is cannon physics?

A cannon, really, is simply a kind of gun in which the mass of the “bullet” is very large. As such, it obeys the same laws of projectile motion, and understanding projectile physics will help you understand cannon physics.

Why is 45 degrees the best launch angle?

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

What is a Type 1 projectile problem?

Problem Type 1: Predictable unknowns include the initial speed of the projectile, the initial height of the projectile, the time of flight, and the horizontal distance of the projectile. Examples of this type of problem are. A pool ball leaves a 0.60-meter high table with an initial horizontal velocity of 2.4 m/s.

How does the cannon work?

A cannon is a remarkably simple device. It consists of a strong metal tube with a plug at one end. There is a small hole for a fuse drilled through the tube. You load gunpowder into the tube from the open end of the cannon and then insert a cannon ball so that the gunpowder and ball are pressed against the plugged end.

How do human cannons work?

Cannon. The impetus in the cannon is provided either by a spring or jet of compressed air. This makes the device work more like a catapult, where the cylinder propelling the human stops at the mouth of the cannon. Some cannons utilize nitrocellulose, specifically the dinitrate ester, cellulose dinitrate (pyroxylin).

What is the formula for projectile motion?

The equation for the distance traveled by a projectile being affected by gravity is sin(2θ)v2/g, where θ is the angle, v is the initial velocity and g is acceleration due to gravity. Assuming that v2/g is constant, the greatest distance will be when sin(2θ) is at its maximum, which is when 2θ = 90 degrees.

Is learning projectile motion hard?

Projectile motion is often one of the most difficult topics to understand in physics classes. Most of the time, there is not a direct way to get the answer; you need to solve for a few other variables to get the answer you are looking for.

What is projectile physics?

A projectile is any object thrown into space upon which the only acting force is gravity. The primary force acting on a projectile is gravity. This doesn’t necessarily mean that other forces do not act on it, just that their effect is minimal compared to gravity.

At what angle height of projectile is maximum?

The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.

Does launch angle affect initial velocity?

Higher launch angles have greater times in the air The time in air is determined by the initial vertical velocity. Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the time in air.

What angle gives maximum height?

The greater the initial value of vy, the higher that a projectile will rise. The projectile launched at 60-degrees has the greatest vy, and as such the greatest peak height.

What is a Type 2 projectile?

A “Type 2” Projectile Motion problem is one where a projectile is launched with a 2D initial velocity vector, and it returns back to the same height when it lands.

What is the difference between projectile and trajectory?

Projectile motion is the motion of an object thrown (projected) into the air. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.

How many types of projectile motion are there?

There are the two components of the projectile’s motion – horizontal and vertical motion.

How heavy is a cannon?

These were usually divided into the cannon royal, or double cannon, which weighed about 8,000 pounds (3,630 kg) and fired a ball weighing 60–63 pounds (27–28 kg); the whole cannon, which weighed about 7,000 pounds and fired a 38–40-pound ball; and the demicannon of about 6,000 pounds, which shot a 28–30-pound ball.

What makes a cannon a cannon?

A cannon is a large-caliber gun classified as a type of artillery, which usually launches a projectile using explosive chemical propellant. Gunpowder (“black powder”) was the primary propellant before the invention of smokeless powder during the late 19th century.

What is inside a cannon?

A cannon is just a metal tube with a closed end and an open end. The closed end has a small fuse hole. To load the cannon, you pour in gunpowder (a mixture of charcoal, sulfur and potassium nitrate), and then drop in a cannonball.

What pushes a person out of a human cannon?

Allan McPherson, founder of the Blackpool Circus School, says that the firing mechanism for human cannonballs usually works by releasing compressed air. The amount and pressure of the air depends on the size of the person involved and how far they need to go.

How far can a cannonball fly?

The typical Civil War shell had a range of about 1,500 yards — or just under a mile.

What are the 3 properties of a projectile?

Objects experiencing projectile motion have a constant velocity in the horizontal direction, and a constantly changing velocity in the vertical direction. The trajectory resulting from this combination always has the shape of a parabola.

How do you solve projectile motion problems without angles?

What is time of flight of a projectile?

The time of flight of projectile motion is defined as the time from when the object is projected to the time it reaches the surface.

How many forces act on a projectile?

A projectile is any object that once projected or dropped continues in motion by its own inertia and is influenced only by the downward force of gravity. By definition, a projectile has a single force that acts upon it – the force of gravity.

What is the formula for free fall?

The formula for free fall: Imagine an object body is falling freely for time t seconds, with final velocity v, from a height h, due to gravity g. It will follow the following equations of motion as: h= \frac12gt^2. v²= 2gh.

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