Question

company uses a ramp to slide boxes of parts to a shippingarea. Each box weighs about 10 kilograms. When sliding downthe ramp, the boxes accelerate at a speed of 0.1 m/sec2. What isthe force acting on each box? For this problem, ignore theeffects of friction acting on each box.

Answer 1

Fₓ = 1 N

Step-by-step explanation:

For this exercise let's use Newton's second law, in this case our reference system has an axis parallel to the plane, we will call it the x-axis and we assume that the downward direction is positive, an y- axis perpendicular to the plane. Let's write Newton's second law for each axis

x axis

Wₓ = m a

y Axis

N - W_y =

N = W_y

let's use trigonometry to find the components of the weight

sin θ = Wₓ / W

Wx = W sin θ

cos θ = W_y / W

W_y = W cos θ

we substitute

Fₓ = mg sin θ = m a

Fₓ = 10 0.1

Fₓ = 1 N

This is the force that makes the box slide down and a component of the box's weight.