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  1. Review the units of work, energy, force, and distance. Use the equations for mechanical energy and work to show what is work and what is not. Make it clear why holding something off the ground or carrying something over a level surface is not work in the scientific sense.

  2. work, the body gaining energy has work done on it. Work is given by the force multiplied by the displacement through which the force acts, or: where F = force (N), d = displacement (m)

  3. The Work-Energy Theorem. The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.

  4. The work-energy theorem states that the net work \(W_{net} \) on a system changes its kinetic energy, \(W_{net} = \frac{1}{2}mv^2 - \frac{1}{2}mv_0^2\).

  5. The work-energy theorem says that this equals the change in kinetic energy: − m g ( y f y i ) = 1 2 m ( v f 2 − v i 2 ) . − m g ( y f − y i ) = 1 2 m ( v f 2 − v i 2 ) . Using a right triangle, we can see that ( y f − y i ) = ( s f − s i ) sin θ , ( y f − y i ) = ( s f − s i ) sin θ , so the result for the final speed is ...

  6. Work is energy transferred to an object or from an object as the result of the action of an external force. Positive work transfers energy to the object, and negative work transfers energy from the object. Work is the scalar product of the force vector and the displacement vector.

  7. Work-Energy Theorem argues the net work done on a particle equals the change in the particle’s kinetic energy. According to this theorem, when an object slows down, its final kinetic energy is …

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