An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30º with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35. The speed of the object at the bottom of the plane is _______?

Respuesta :

Answer:

Velocity at the bottom will be 16.66 m/sec

Explanation:

We have given mass of the object m = 5.5 kg

Angle which is made by the plane [tex]\Theta =30^{\circ}[/tex]

Distance traveled s = 72 m

Acceleration will be equal to [tex]a=g(sin\Theta -\mu cos\Theta )=9.8\times (sin30^{\circ}-0.35cos30^{\circ})=1.929m/sec^2[/tex]

Initial velocity u = 0 m /sec

We have to find the velocity at the bottom of the plane, that is final velocity v

From third equation of motion we know that

[tex]v^2=u^2+2as[/tex]

So [tex]v^2=0^2+2\times 1.929\times 72=277.77[/tex]

v = 16.66 m/sec