A block of mass rests on a rough incline making an angle with the horizontal
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
A block of mass m=4kg rests on a rough incline making an angle 32∘ with the horizontal. A force P is applied parallel to the plane and directed up the slope.
(i) Taking the coefficient of static friction as 0.45, find the range of values of the applied force P for which the block remains at rest.
(ii) The force P is set to the minimum value that just starts moving the block up the plane and is then kept constant. If the coefficient of kinetic friction is 0.30, determine the acceleration of the block immediately after motion begins.
(iii) Using the acceleration obtained in part (ii), calculate the distance moved by the block in the first 2s after it starts moving.