contestada

Anissa slides down a playground slide sloped at 25o. The coefficient of kinetic friction between Anissa and the slide is 0.15. If Anissa’s mass is 55 kg, how fast is she going 2.0 s after starting from rest?

Respuesta :

Answer:5.62 m/s

Explanation:

Given

Inclination [tex]\theta =25^{\circ}[/tex]

Coefficient of kinetic Friction [tex]\mu _k=0.15[/tex]

mass of Anissa's [tex]m=55 kg[/tex]

time interval [tex]t=2 s[/tex]

acceleration of the system

[tex]a=g\sin \theta -\mu _kg\cos \theta [/tex]

[tex]a=9.8\sin (25)-0.15\cdot 9.8\cos (25)[/tex]

[tex]a=4.14-1.33=2.81 m/s^2[/tex]

[tex]v=u+at[/tex]

where v=Final Velocity

u=Initial Velocity

a=acceleration of system

t=time

[tex]v=0+2.81\times 2[/tex]

[tex]v=5.62 m/s[/tex]