A crate of mass is released from rest at the top of a smooth incline that makes an…

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A crate of mass

12\,\text{kg}

is released from rest at the top of a smooth incline that makes an angle of

30^{\circ}

with the horizontal. It slides down the incline through a distance of

6.0\,\text{m}

. (i) Calculate the component of the crate’s weight acting along the incline. (ii) Obtain the work done by this component during the

6.0\,\text{m}

slide. (iii) Determine the speed of the crate at the bottom of the incline. (iv) If the crate were instead given an initial speed of

2.0\,\text{m\,s}^{-1}

up the same incline and brought to rest by gravity alone, find the distance it would travel before stopping.