Question #90503

1 Answer
A08
Dec 21, 2016

61.22N

Explanation:

Refer to the figure below
![static.newworldencyclopedia.org](useruploads.socratic.org)

As the mass slides down the inclined plane, we see that Normal reaction N is equal and opposite to the cos theta component of the weight. The other two forces acting on the mass are, sin theta component acting along the plane and force of friction acting up the plane and opposing the motion of the mass. _"net"

As there is movement in sliding down there is net force given as
F_"net"=mgsin theta-f
Using Newton's second law this net force can be written as

F_"net"=ma .......(1)
Where m is mass and a is acceleration produced.

Using the kinematic equation
s=ut+1/2at^2 and inserting given quantities in SI units we get
1.2=0xx0.42+1/2a(0.42)^2
Solving for a
a=1.2xx2/(0.42)^2 =13.605ms^-2, rounded to three decimal places

Inserting value of a in (1)
F_"net"=4.5xx13.605
=>F_"net"=61.22N

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