Uniformly Accelerated Motion
Uniformly Accelerated Motion - Animation Learnchannel
As you can see from the experiment above, the velocity v of the ball increases constantly. The acceleration a corresponds to the gradient of the v(t) diagram:
The distance s traveled increases exponentially and can be calculated:
s = ½ s ⋅ t2 ... Eq. (2)
Eq.(1) converted to t and then inserted into Eq. (2) shows a relationship between the variables s, v and a:
s = v2 ... Eq. (3)
. 2 a
Forces on the inclined plane
The weight (force of gravity Fg ) is not the force that accelerates the object. But we can determine the force which accelerates the object by decomposing the force:
Forces on object sliding downhill - decomposing weight force
- the normal force FN which is the force that always acts perpendicular to the surface on which the object is resting.
- the downhill force FD, which is actually the force that accelerates the body.
The weight force is calculated as:
FG = m * g | Mass m in kg and gravity g = 9,81 m/s2
If the weight force is known, the remaining forces can be determined using the trigometry:
- FD = FG cos α
- FN = FG sin α