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- It is not a vector quantity but is rather a magnitude.
In physics, the kinetic energy of an object is the form of energy that it possesses due to its motion. [1] In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is . [2]
A light object and a heavy object have the same kinetic energy. Which has the greater momentum? Explain. Short Answer. Expert verified. The heavier object has greater momentum than the lighter object. Step by step solution. 01. Momentum. The product of mass and velocity of an object is termed the momentum of that object.
- Douglas C. Giancoli
- How to Find Kinetic Energy
- Change in Kinetic Energy
- Rotational Kinetic Energy
- Vibrational Kinetic Energy
Kinetic energy is a scalar quantity, not a vector. It takes positive values that depend on two factors – velocity and mass. It cannot be negative since mass cannot be negative. The formula for kinetic energy is given by, K.E. = ½ mv2 Where, K.E.: kinetic energy m: mass v: velocity SI Unit: Joule or J (1 J = 1 kg m2/s2) Cgs Unit: Erg (107 erg = 1 J)...
An object can start from rest and acquire velocity. An object can also change its velocity during its motion. Suppose the object moves with a velocity vi, the initial velocity. A force alters its motion such that its velocity changes to vf, which is the final velocity. Then, the change in kinetic energy is, ΔK.E. = ½ mvf2 – ½ mvi2 Now, work is bein...
An object rotating about its axis also has kinetic energy. Its kinetic energy depends on angular velocity and moment of inertia. For rotational motion, the expression for kinetic energy is different from linear motion. The formula is, K.E. = ½ Iω2 Where, I: moment of inertia ω: angular velocity An example of rotational kinetic energyis a merry-go-r...
A vibrating object has kinetic energy. For example, a spring oscillates with kinetic energy given by, K.E. = ½ kx2 Where, k: spring constant x: displacement
The kinetic energy of an object is the energy associated with the object which is under motion. It is defined as “the energy required by a body to accelerate from rest to stated velocity.” It is a vector quantity.
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- The momentum of an object is the virtue of its mass. It is defined as the product of mass and velocity. It is a vector quantity.
- The law of conservation of momentum states that in an isolated system the total momentum of two or more bodies acting upon each other remains const...
- The law of conservation of momentum is based on Newton’s third law of motion which states that every force has a reciprocating equal and opposite f...
- The momentum observation principle can be mathematically represented as: m 1 u 1 + m 2 u 2 = m 1 v 1 + m 2 v 2 In the equation, m1 and m2 are mas...
Jun 15, 2023 · Two objects of equal mass moving with equal speeds in opposite directions have a total momentum of zero, but their total kinetic energy is definitely nonzero. Basically, the kinetic energy of a system can never be zero as long as there is any kind of motion going on in the system.
You can see that the kinetic energy of an object can have very different values, depending on the frame of reference. However, the kinetic energy of an object can never be negative, since it is the product of the mass and the square of the speed, both of which are always positive or zero.
Hence, unlike momentum, kinetic energy is not a vector, but a scalar: there is no sense of direction associated with it. In three dimensions, one could write \[ K=\frac{1}{2} m\left(v_{x}^{2}+v_{y}^{2}+v_{z}^{2}\right) \label{eq:4.2} \]
