Question A wooden plank is raised at one end to an angle of 30 o . A 2.0 kg box
ID: 1721930 • Letter: Q
Question
Question A wooden plank is raised at one end to an angle of 30o . A 2.0 kg box is placed on the incline1.0 m from the lower end and given a slight tap to overcomestatic friction. The coefficient of kinetic friction between thebox and the plank is k= 0.20 . Find a) the rate ofacceleration of the box and b) the speed of the box at the bottom.Assume that the initial speed of the box is zero.I don't know how to solve this. Pls help
Question A wooden plank is raised at one end to an angle of 30o . A 2.0 kg box is placed on the incline1.0 m from the lower end and given a slight tap to overcomestatic friction. The coefficient of kinetic friction between thebox and the plank is k= 0.20 . Find a) the rate ofacceleration of the box and b) the speed of the box at the bottom.Assume that the initial speed of the box is zero.
I don't know how to solve this. Pls help
Explanation / Answer
angle of the plank, = 30 o mass of the box, m = 2 kg distance of the box, s = 1 m coefficient of kinetic friction, k =0.2 (a) acceleration, a = g ( sin -k cos ) = 9.8 ( sin 30 - 0.2 cos 30 ) = 9.8 ( 0.5 - 0.1732 ) = 3.203 m/s^2 (b) Speed, V = ( 2 a s ) = ( 2 * 3.203 * 1 ) = 2.53 m/s