Why does lifting one end of the track lead to constant acceleration?

We put a motion detector at one end of the track and put a cart on the track. ... Next, we put a motorized fan on the cart and let it push the cart down the track. ... This is what I would expect based on the velocity graph, since acceleration equals the slope of the velocity graph, which remainsconstant in time.

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Martebi Martebi · Answer 2 · 2021-10-26T18:58:59+02:00

Acceleration is known to be as the rate to which the velocity of an object alters or changes in course of time.

Newton's second law of motion state that the acceleration of an object is based on two factors

The factors are:

a. The mass of the object

b. The net force acting on it.

When lifting one end of the track, it will break or divides the weight into two parts.

lets call the parts mgcosθ and mgsinθ. As the weight acts vertically downwards, the normal force that acts opposite to the slope with magnitude will be equal to mgcosθ

kinetic friction force do act parallel to the surface in the direction to which the motion is. Therefore, the force due to a weight component which is mgsinθ will be parallel to the surface that has sloped down.

In Newton's second law: ΣF = ma

mgsinθ - fk = ma

Conclusively, If the kinetic friction is free or constant, the part mgsinθ will result in a constant acceleration. The weight of the acceleration is measured by the part mg sinθ.

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