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Verizon LTE 5:25 PM 9 flipitphysics.com Homework: Work And Potential Energy: Par

ID: 1787561 • Letter: V

Question

Verizon LTE 5:25 PM 9 flipitphysics.com Homework: Work And Potential Energy: Part_ Block On Incline Trip A mass m 16 kg is pulled along a horizontal floor with NO friction for a distance d 7.6 m. Then the mass is pulled up an incline that makes an angle -33' with the horizontal and has a coefficient of kinetic friction = 0.42. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of -33° (thus on the incline it is parallel to the surface) and has a tension T -72 N What is the work done by tension before the block goes up the incline? On the horizontal surface. 458.9 What is the speed of the block right before it begins to travel up the incline? 7.57 What is the work done by friction after the block has traveled a distance x = 3.3 m up the incline? (Where x is measured along the incline.) 182.3 " What is the work done by gravity after the block has traveled a distance x = 3.3 m up the incline? where x is measured along the incline.) 281.8 How far up the incline does the block travel before coming to rest? (Measured along the incline.) 3.26 On the incline the net work done on the block is: Opositive

Explanation / Answer

given, m = 16 kg

d = 7.6 m, no friction

theta = 33 deg

coefficient of kinetci friction, k = 0.42

T = 72 N

a. work done by tension before the block goes up the incline

Tw = T*d*cos(theta) = 458.92 J

b. speed of the block just before going up the incline = u

from work energy theorem

Tw = 0.5mu^2

u = 7.5739 m/s

c. work done by fricitonfor x = 3.3 m up the incline distance

fw = k*m*g*cos(180 - theta)*x = -182.4498 J

d. work done by gravity = Wg = -mgsin(theta)*3.3 = -282.1055 J