A block is projected down a smooth incline that makes an angle of with the horizontal
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A 3.0kg block is projected down a smooth incline that makes an angle of 30∘ with the horizontal. Its speed along the incline is 6.0ms−1 at the instant it leaves the top of the incline. Two seconds later its speed along the incline is 12.0ms−1.
(i) Express the block’s initial velocity vector in terms of its horizontal and vertical components.
(ii) Write the corresponding components of its initial momentum.
(iii) Resolve the velocity after 2.0s into horizontal and vertical components and obtain the corresponding momentum components.
(iv) Compute the change in the momentum vector during the 2.0s interval and state its magnitude and direction relative to the horizontal.