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The amount of kinetic energy that will be gained from the particle as it moves from point B to point A is 12U₀.
Since the particle moves through in a projectile path (trajectory). The gravitational potential energy acts on the particle in the downward direction.
A resistive force refers to a force that resists and acts in the direction opposite to the velocity of a body.
where:
- resistive force
= 12 F
Recall that;
- the gravitational potential energy is constant;
- the kinetic energy at point A from B = U₀
∴
When the particle is launched from B to A, the kinetic energy gained by the particle can be computed as:
- U =
- U = 12 F × r
- U = 12 U₀
Learn more about kinetic energy here: