A 40-kg box is being pushed along a horizontal smooth surface. The pushing force is 15 n directed at an angle of 15° below the horizontal. What is the magnitude of the acceleration of the crate?

Acceleration of the crate is 0.362 m/s^2.

Explanation:

Given:

Mass of the box, m = 40 kg

Applied force, F = 15 N

Angle at which the force is applied, = 15°

We have to find the magnitude of the acceleration.

Let the acceleration be "a".

FBD is attached with where we can see the horizontal and vertical component of force.

⇒          and             ⇒

⇒                           ⇒

⇒ Applying concept of  forces.

⇒

⇒

⇒        ...Newtons second law Fnet = ma

⇒              

⇒ Plugging the values.

⇒     ...f is the friction which is zero here.

⇒

⇒

Magnitude of the acceleration of the crate is 0.362 m/s^2.

could you add the photo?

explanation: