Engineering Mechanics
A force while acting on a body may

Balance the forces, already acting on it
All of these
Give rise to the internal stresses in it
Change its motion

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Engineering Mechanics
The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

[2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²
[m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²
[m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)
[2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = x. tanα + (gx²/2u² cos²α)
y = (gx²/2u² cos²α) - x. tanα
y = (gx²/2u² cos²α) + x. tanα
y = x. tanα - (gx²/2u² cos²α)

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