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If I had to push a box with a certain weight 'm' up an incline, would I just need a force 'slightly greater' than 'mg'? (Assuming I applied the force parallel and up the incline)
A frictionless incline is a hypothetical scenario where there is no friction between a surface and an object moving on it. This means that there is no resistance or force that opposes the motion of the object on the incline.
In a frictionless incline, the required force to move an object up or down the incline is significantly reduced. This is because there is no friction to overcome, so the only force acting on the object is the force of gravity.
The formula for calculating the required force on a frictionless incline is F = mgsinθ, where F is the required force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the incline.
The steeper the angle of the incline, the greater the required force to move an object up or down the incline. This is because the component of the force of gravity acting in the direction of motion increases as the angle increases.
No, frictionless inclines cannot exist in real life as there will always be some amount of friction present between surfaces. However, the concept of a frictionless incline is used in theoretical and mathematical models to simplify calculations and understand the principles of motion better.