Question

5. A 4.00 kg object slides down a frictionless inclined plane with an acceleration of 3.00 m/s2. What is the angle of the incline above horizontal?

Answer 1

Answer:

The angle of the incline above horizontal is 17.81 degrees.

Explanation:

Given that,

Mass of the object, m = 4 kg

Acceleration of the object above the incline, $a=3\ m/s^2$

We need to find the angle of the incline above horizontal. The net force acting on the object along the incline is given by :

$F_{net}=mg\ sin\theta$

$ma=mg\ sin\theta$

$a=g\ sin\theta$

$sin\theta=\dfrac{a}{g}$

$sin\theta=\dfrac{3}{9.8}$

$\theta=17.81^{\circ}$

So, the angle of the incline above horizontal is 17.81 degrees. Hence, this is the required solution.