A large heavy box is sliding without friction down a smooth plane of inclination θ. From a point P on the bottom of the box, a particle is projected inside the box. The initial speed of the particle w

Question

A large heavy box is sliding without friction down a smooth plane of inclination θ. From a point P on the bottom of the box, a particle is projected inside the box. The initial speed of the particle with respect to box is u and the direction of projection makes an angle α with the bottom as shown in figure.Find the distance along the bottom of the box between the point of projection P and the point Q where the particle lands. (Assume that the particle does not hit any other surface of the box. Neglect air resistance).

TestHub · Accepted Answer

a ⊥ ​ = g cos θ Initial velocity normal to base: u ⊥ ​ = u sin α t = g cos θ 2 u sin α ​ u ∥ ​ = u cos α PQ = u ∥ ​ t = u cos α ⋅ g cos θ 2 u sin α ​ PQ = g cos θ u 2 sin 2 α ​

Physics - Kinematics Question with Solution | TestHub

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