✅ Answers
Answerer 1
Look at the two extreme cases when the ramp angle is zero, i.e. the ramp is horizontal. In this case the force to move the cart on the ramp is very small but the cart will still move regardless of the small frictional force in the wheels. When the ramp angle is 90 degrees, the force required to move the cart is much greater = (mass of the cart)* acceleration of gravity. In the case presented by this problem, the friction on the wheel axles is negligible compared with other forces. See case B of the reference Source which compared the forces for 30 degrees, 45 degrees and 60 degrees. The force required to pull the cart of the ramp increases proportional to the sine of the angle of incline. Sine of zero degrees is zero. Sine of 90 degrees is one. Force required to move the cart is m*g*sine (90 degrees)
Source(s):
http://www.physicsclassroom.com/Class/ve…
Answerer 2
There are two forces at work: gravity and friction. Tthe weight og the object and gravity are constant and do not chage but the incline of the plane will affect friction which is a result of the weight of the object. On a 0~incline plane, the amount of force requires to move the carts wheels is constant and unchanging, once gravity is couneracted and friction broken, the cart moves. Once the inclination of the plane begins to increace, gravity exerts more force on the cart, increasing friction. This will continue until the incline of the palne reaches 90* vertical, allowing only the weight of the object to be affcted by gravity (32FpS). Lifting an object straight up is easier than taking it up an inclined plane becausefriction is reduced to 0, the steeper the inclination is the greater the braking force of friction will be. The wheels of the cart allow for easier movement but gravity and weight are constant: the higher the degree of inclination, the more the full weight of the object will be brought to bear.
Source(s):
Once the incline reaches 90* vertical, friction within wheels is rediced to negative and only the weight as affected by gravity is left to deal with.
Answerer 3
You only have to apply (significant) force when you are moving something HIGHER. It would take twice as much force to move something 2 feet up instead of 1 foot up. So if the ramp is steeper, you are pulling the cart further vertically than if it was more horizontal. The force is actually proportional to the ratio of the height divided by the length of the angle.
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