In the above diagram, there is no friction from point A to point D, however, the

Question

In the above diagram, there is no friction from point A to point D, however, the section from point D to E has a sliding coefficient of friction of 0.4

A 450N force is applied to the 50kg mass placed at point A. the force is paralell to the surface AB, and the 50kg mass is initially moving with velocity 20m/s at point A.

a. what is the velocity of the mass as it reaches point B, which is 40m higher than point A?

b. what is the velocity when it reaches point D which is 20m below point C?

c. how far does the mass slide from point D before coming to rest at point E?

Explanation / Answer

A. sum of all forces in the x axis(parallel to the inclined plane) A. F - mgsin(30) make it equal to ma to find the acceleration ma = F - mgsin(30) use trigonometry to find the length of the hypothenuse(how much it travel) sin(30) = 40m/hyp use kinematics to figure out the velocity at the top v^2 = v initial^2 + 2ax B. Use gravitational energy and kinetic energy for this part mgh at 40m mgh at 20m subtract GE at 40m - GE at 20m from that energy get the velocity with kinetic energy then the velocity from part A add it with this velocity C. get the forces in the x axis Force of friction = ma you are going to get a negative number for a (deceleration) again use kinematics to find when it is going to stop

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