Determining the frictional resistance.

[lauralovesyou]

How would you determine the frictional resistance between an inclined plane and cart (with wheels) when you are pulling the cart with a spring scale along the plane when you know:
mass of cart, vertical height of plane , displacement (hypotenuse of inclined plane), applied force needed to drag the cart on inclined plane, work input: Fd and work output: mgh?

 

[pgardn]

How would you determine the frictional resistance between an inclined plane and cart (with wheels) when you are pulling the cart with a spring scale along the plane when you know:
mass of cart, vertical height of plane , displacement (hypotenuse of inclined plane), applied force needed to drag the cart on inclined plane, work input: Fd and work output: mgh?

Is the cart pulled at a constant velocity? probably so...

Do you know how to find the force required to pull the cart at a constant velocity if the plane was frictionless? Not an experiment, just done on paper?

 

[kerimek]

To determine the frictional resistance between the inclined plane and cart, we can use the formula for work done: W = Fd, where W represents the work input, F is the applied force needed to drag the cart, and d is the displacement of the cart along the inclined plane. We can also use the formula for potential energy: PE = mgh, where m is the mass of the cart, g is the acceleration due to gravity, and h is the vertical height of the inclined plane.

First, we need to calculate the work output (mgh) by multiplying the mass of the cart by the acceleration due to gravity and the vertical height of the inclined plane. This represents the energy needed to lift the cart to the top of the inclined plane.

Next, we can use a spring scale to measure the applied force (F) needed to pull the cart along the inclined plane. By multiplying this force by the displacement (d) of the cart, we can calculate the work input (Fd). This represents the energy used to pull the cart along the inclined plane.

The difference between the work input and work output (Fd - mgh) represents the work done against frictional resistance. This can be used to calculate the frictional force using the formula: Ff = (Fd - mgh) / d. This will give us the frictional resistance between the inclined plane and cart.

We can also use this information to calculate the coefficient of friction between the inclined plane and cart by dividing the frictional force (Ff) by the normal force (mg) exerted on the cart by the inclined plane. This will give us a better understanding of the surface properties and the level of resistance between the two surfaces.

In summary, by using the formulas for work and potential energy, along with measurements of applied force and displacement, we can determine the frictional resistance between an inclined plane and cart. This information can be used to calculate the coefficient of friction and provide valuable insights for optimizing the design and efficiency of the system.