a particle of mass 1.3kg is sliding down a frictionless slope inclined at 30 to the horizontal. the acceleration of the particle down the slope is

Respuesta :

Answer:

[tex]4.9\ m/sec^2[/tex]

Explanation:

The computation of acceleration of the particle down the slope is shown below:-

data provided in the question

Particle of mass = 1.3 kg i,e sliding down

Inclined = 30 to the horizontal

based on the above information

Force is given by

[tex]N = mg\ cos \theta[/tex] ............ 1

and sliding force is given by

[tex]F = mg\ sin\alpha[/tex]

[tex]a = g(sin\ 30^{\circ})[/tex]

[tex]= 9.8\times \frac{1}{2} m/sec^2[/tex]

= [tex]= 4.9\ m/sec^2[/tex]

Hence, the acceleration of the particle down the slope is 4.9 m/sec^2