Respuesta :
Answer:
v = 5.19 m/s
Explanation:
Using the work-energy theorem:
W = Δk
where W is the work and Δk is the change in the kinetic energy
Now the work of all the system is equal to:
[tex]W = Mgd - F_kd[/tex]
where M is the mass, g the gravity, d the distance and [tex]F_k[/tex] the friction force, it means that Mgd is the work of the gravitational force and [tex]F_kd[/tex] is the work of the friction force
Also, the kinetic energy could be calulate by:
K = [tex]\frac{1}{2}MV^2[/tex]
where M is the mass and V the velocity.
Replacing:
[tex]Mgd - F_kd = \frac{1}{2}MV^2[/tex]
[tex](20)(9.8)(1.5) - (16)(1.5) = \frac{1}{2}(20)V^2[/tex]
Solving for V, we get:
v = 5.19 m/s
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