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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

A particle P is projected from a point on the surface of a smooth...

A particle P\text{P} is projected from a point on the surface of a smooth inclined plane (see figure). Simultaneously another particle Q\text{Q} is released on the smooth inclined plane from the same position. P\text{P} and Q\text{Q} collide on the inclined plane after t=4\text{t} = 4 seconds. Find the speed of projection in m/s\text{m/s}.
A particle P is projected from a point on the surface of a smooth inclined plane (see figure). Simultaneously another

Correct answer

10

Step-by-step solution

It can be observed from figure that P\text{P} and Q\text{Q} shall collide if the initial component of velocity of P\text{P} and Q\text{Q} on inclined plane i.e along incline should be equal. That is particle is projected perpendicular to incline.

A particle P is projected from a point on the surface of a smooth inclined plane (see figure). Simultaneously another

∴∴~Time of flight T=2u⊥gcosθ=2ugcosθ\text{Time of flight T} = \dfrac{2 {u}_{⊥}}{\text{g} \text{cos} \theta} = \dfrac{2 \text{u}}{\text{g} \text{cos} \theta}

∴∴~\text{u} = \dfrac{\text{g} \text{T} \text{cos} \theta}{2} = 1 0 \text{m} / \text{s}&
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