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In science, work is the energy transferred to or from an object via the application of force along a displacement.In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force strength and the distance traveled.
Product of a force and the perpendicular distance of the force from the point about which it is exerted newton-metre (N⋅m) L 2 M T −2: bivector (or pseudovector in 3D) Velocity: v →: Moved distance per unit time: the first time derivative of position m/s L T −1: vector Wavevector: k →
Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)
Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.
To every action, there is always opposed an equal reaction; or, the mutual actions of two bodies upon each other are always equal, and directed to contrary parts. [15]: 116 Rockets work by producing a strong reaction force downwards using rocket engines. This pushes the rocket upwards, without regard to the ground or the atmosphere.
There are several ways of doing mechanical work, each in some way related to a force acting through a distance. [34] In basic mechanics, the work done by a constant force F on a body displaced a distance s in the direction of the force is given by = If the force is not constant, the work done is obtained by integrating the differential amount ...
The kinetic energy of an object is equal to the work, force times displacement , needed to achieve its stated velocity. Having gained this energy during its acceleration, the mass maintains this kinetic energy unless its speed changes. The same amount of work is done by the object when decelerating from its current speed to a state of rest. [2]
Power is the rate with respect to time at which work is done; it is the time derivative of work: =, where P is power, W is work, and t is time. We will now show that the mechanical power generated by a force F on a body moving at the velocity v can be expressed as the product: P = d W d t = F ⋅ v {\displaystyle P={\frac {dW}{dt}}=\mathbf {F ...
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