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A projectile is an object projected into air with a velocity V so that it is moving under the influence of gravity. 1. What is the shape of the path of projectile?2. As a projectile moves in its path, is there any point along the path where the velocity and acceleration vectors are perpendicular to each other 3. If E is energy with a projectile is projected.(i) What is the Kinetic energy at the highest point. (ii) What is P.E at highest point? |
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Answer» 1. Parabola 2. Yes, highest point 3. Energy with a projectile is projected: (i) Kinetic energy Ek = 1/2mv2 Velocity at the highest point = Vcosθ ∴ K.E. at highest point = 1/2m(Vcosθ)2 = 1/2 mv2cos2θ K.E. = Ek cos2θ (ii) Potential energy at highest point, P.E. = mgh = mg \(\frac{v^2sin^2θ}{2g}\) = 1/2mv2sin2θ P.E. = Ek sin2θ. |
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