E = p2 /2m. According to classical mechanics, the magnitude of angular momentum is J = pr, and so the energy can be expressed as E = J2 /2mr2. .

De Brolie wave relation states: l = h/p (l = wavelength, h=plank’s const, p=momentum) this is true in general not just for photons. Hence E = p.c for photons. For non relativistic bodies p = m.v and E = (1/2) m.v^2 so E = (p^2)/2m. This assumes m = rest mass is independent of velocity.

So its kinetic energy is the square of its momentum divided by twice its mass.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

Calculating work done

1. W = F s.
2. W = F s.
3. W = 600 N × 40 m.

Therefore the work done (force times distance) is proportional to the square of initial velocity. Since energy is conserved, that work becomes kinetic energy, and therefore kinetic energy increases with the square of velocity.

The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity. This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.

When something is moving four times as fast as something else, it doesn’t have four times the energy but rather 16 times the energy—in other words, that figure is squared. So the speed of light squared is the conversion factor that decides just how much energy lies within a walnut or any other chunk of matter.

Final velocity (v) squared equals initial velocity (u) squared plus two times acceleration (a) times displacement (s). v2=u2+2as. Solving for v, final velocity (v) equals the square root of initial velocity (u) squared plus two times acceleration (a) times displacement (s).

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

Check the accuracy of relation ${v^2} – {u^2} = 2as$, where v and u are the final and initial velocities, a is the acceleration, and s is the distance. Hence the given relation is accurate. So this is the required answer.

When a body starts from rest or it changes it direction of motion,it is called as initial velocity. We generally consider initial velocity is equal to zero(u=0),only when the object starts from rest. Generally at time (t=0),the initial velocity is zero.

Question: Initial velocity is always equal to zero.

Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth’s gravitational force as the acceleration rate of an object.

Initial velocity describes how fast an object travels when gravity first applies force on the object. On the other hand, the final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.

The different types of velocities are uniform velocity, variable velocity, average velocity and instantaneous velocity.

Final velocity → Zero: When a body is moving with a constant velocity/ or consider a body in motion, when some force is exerted on it to stop the body. The final Velocity Becomes Zero.

The speed of an object is how far the object travels in one unit of time. The formula for speed is: speed = distance time. The most common units of speed are metres per second (m/s), kilometres per hour (km/h) and miles per hour (mph).

Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second .