Kinematics

Such a quantity is called a vector.

A shining example is velocity itself.

velocity is the rate of change of displacement- the distance moved by particle in a specified direction.

Since velocity = displacement/time taken = vector/scalar, Velocity thus has both a direction and a magnitude (magnitude = speed of particle)

Another examples include quantities such as Force, acceleration, displacement

Kinetic energy is the energy possessed by a body because of its motion. The formula for kinetic energy is KE = 1/2mv2, where m is mass in kg and v is velocity in m/s.

To find the amount of mechanical energy lost when colliding with a floor, you can calculate the difference in kinetic energy before and after the collision. Subtract the final kinetic energy (which would be zero if the object comes to a stop) from the initial kinetic energy to determine the mechanical energy lost during the collision.

How is your kinetic energy related to your speed?

Kinetic Energy is proportional to the square of the velocity. If the velocity is doubled, the KE is 4 times as much.

I don't remember ever seeing the KE formula derived. I derived it from motion and work equations.

1) Work input = Force * distance

Work input causes increase in KE

Force * distance = increase in KE

If the object is at rest initially,

2) Work input = Force * distance = KE

3) Force * distance = KE

Force = mass * acceleration

4) F = m*a

Acceleration = (Vf - Vi) ÷ time, Vi = 0,Vf = V

5) a = V ÷ t

Substituting V ÷ t for a

6) F = m*( V ÷ t)

Distance = Average velocity * time

7) Average velocity = (Vi + Vf) ÷ 2, Vi = initial velocity, Vf =final velocity

If the object is at rest initially, Vi = 0, Vf is the velocity at specific time.

8) Average velocity = V ÷ 2

9) Distance = (V ÷ 2) * time

10)Force * distance = KE

……………….From Eq.#6………..From Eq#9

11) F = m*( V ÷ t)…… Distance = (V ÷ 2) * t

12)Force * distance = m*( V ÷ t) * (V ÷ 2) * t

Be careful of numerators and denominators. What is divided by what!

13)Force * distance = (M * V^2) Substituting from Eq #2 reversed, Work input = Force * distance

14)Work input = (M * V^2) ÷ 2

15) Kinetic Energy = ½ * Mass velocity^2

16)Work input = ½ * Mass velocity^2

There it is, the Kinetic energy formula derived from work and motion equations.

Describing motion using words instead of numbers is called qualitative kinematics. This approach focuses on the characteristics of motion such as speed, direction, and changes in motion without quantifying them numerically.

Gravitational potential energy is directly related to an object's height above a reference point, such as the ground. It is the energy stored in an object due to its position in a gravitational field. The higher an object is lifted, the greater its gravitational potential energy.

Having four-wheel drive can help with traction on icy roads, but it won't necessarily make the car faster around corners. The key to driving safely on icy roads is to reduce speed and drive cautiously regardless of the drivetrain. It's always important to adjust your driving according to the road conditions to avoid slipping.

No. One mile per hour is 1.609 kilometers per hour.

The word for a person being experimented on is a "subject."

Phyz (Dax Phyz), is a public domain, 2D computer graphics physics engine with built-in editor and DirectX graphics and sound. In contrast to most other real-time physics engines, it is vertex based and stochastic. It's integrator is based on a SIMD-enabled assembly version of the Mersenne Twister random number generator, instead of traditional LCP or iterative methods, allowing simulation of large numbers of micro objects with Brownian motion and macro effects such as object resonance and deformation.

Momentum is of two kind. One is linear momentum and the other is angular momentum.

Linear momentum is defined as the product of the mass and the velocity. Hence a vector quantity.

To change the momentum of a given body with its mass constant, its velocity is to be changed. Velocity change could be made by changing its magnitude or direction or both.

Angular momentum is the product of moment of inertial and the angular velocity. Same manner, angular momentum is also a vector quantity as angular velocity is a vector quantity.

Most of us think that moment of inertia of a body about any prescribed axis is also a vector quantity. It is totally wrong as far as my approach is concerned. Moment of inertia is a scalar quantity.

So to change the momentum, some force can be applied by allowing a moving body to collide with.

Angular momentum can be changed by applying torque on it. Torque colloquially saying is a turning force. Moment of effective force about an axis is termed as torque.

Use the formula KE = 1/2 mv2 (kinetic energy = 1/2 times mass times velocity squared).

Use the formula KE = 1/2 mv2 (kinetic energy = 1/2 times mass times velocity squared).

Use the formula KE = 1/2 mv2 (kinetic energy = 1/2 times mass times velocity squared).

Use the formula KE = 1/2 mv2 (kinetic energy = 1/2 times mass times velocity squared).

The energy attributed to an object by virtue of its motion is known as kinetic energy. It is dependent on the object's mass and velocity, with the formula being KE = 0.5 * mass * velocity^2.

There is an equation called the Range equation that can be used here. This equation only applies when the starting altitude and ending altitude are the same for the object. R = v2 sin(2 Theta)/g v is the initial velocity of the ball, theta is the launch angle, and g is the gravitational constant(9.8 meters per second squared or 32.2 feet per second squared depending on which system you wish to use). R is the distance the ball is hit.

It has kinetic energy because it is moving. Just because it is in the air doesn't mean that it can't have kinetic energy.

Measured in the frame of reference in which the object is at rest; zero since momentum is mass times velocity. Note that momentum is zero but inertia is not.

Yes, anything that has a mass, and moves, has kinetic energy.

Yes, anything that has a mass, and moves, has kinetic energy.

Yes, anything that has a mass, and moves, has kinetic energy.

Yes, anything that has a mass, and moves, has kinetic energy.

We have to assume that the 785 km/hr is the speed measured by an observer on the ground, NOT the closing speed. The closing speed is (785 x 2) = 1,570 km/hr. If the impending catastrophe first attracts their attention when they are 11 km apart, then the distance between them at that instant represents 11/1570 = 0.007 of an hour = 25.22 seconds (rounded)

The formula for gravitational potential energy is: PE = m*g*h

where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the reference point.

In this case, the mass is 1 kg and the height is 2 meters. If we take the acceleration due to gravity to be 9.8 m/s^2, we get:

PE = (1 kg) * (9.8 m/s^2) * (2 m) = 19.6 kg*m^2/s^2 = 19.6 Joules

It's not preferable to speak about 'forces' when considering crashes or impacts. Force depends not only on the projectile, but also the target, so it's better to describe projectiles using kinetic energy they carry.

Formula for kinetic energy of moving body is:

Ek = mv2 / 2

It's quite hard to compare bullets and arrows due to big variety both in firearms and in bows and arrows. Let's try however.

Arrow with mass of 25g, which may travel at 75m/s:

Ek = 61 J

Bullet 5.56x45mm with a mass of 4 g flying at 940m/s:

Ek = 1620 J

Gun bullet (.45 ACP) with mass of 12g at 373m/s:

Ek = 835 J

Comparison seems favourable for firearms.

Remember though that 'stopping power' and possibility of fatal injury isn't only affected by kinetic energy.

Bows and other weapons are not toys and should be handled with responsiblity.

Note: Though it is true old longbows cannot outclass a firearm in modern warfare, a longbow arrow has more penetration, 4 inches of solid oak and then 6 inches more out the other end at 30-50 yards, and has been tested and successfully penetrated a bullet proof vest. This is due to the heavier weight, better transfer of momentum, and solid pointed tip not shredding like a bullet. Makes you wonder what would have happened if they continued advancements in tension based weaponry?

Kinetic energy is the energy of motion, and is defined as one half of mass times

the square of velocity. Evidence of kinetic energy include Examples of:

Orbital motion: moons about the planets, or the planets around the sun. The motion of the stars in a galaxy, orbiting satellites and space vehicles.

Random linear motion: On a molecular level, vibrations of molecules, gas molecules bouncing around a room.

Rotational or torquing motion: spinning flywheels, rolling balls or wheels

Projectile (parabolic) motion: a fired bullet, a thrown ball, a boy jumping

Linear motion: running, bowling, aircraft in flight, a moving car or train, a boy skateboarding

The total energy of an object is the sum of its potential energy and kinetic energy. Potential energy is stored energy based on an object's position or condition, while kinetic energy is the energy of motion. The total energy remains constant in a closed system according to the law of conservation of energy.

As an object's kinetic energy increases, its velocity and momentum also increase. This leads to greater force upon impact and the ability to do more work. However, the object's mass remains constant, so its acceleration will also increase.