Solving for Friction Force on a Ramp

In summary, To determine the frictional force acting on a 2.0kg block of wood accelerating down a smooth incline at 37o to the horizontal, calculate the net acceleration and then subtract the component of gravity pointing down the ramp. Use a free body diagram and the equations of motion to integrate and solve for the friction force.
  • #1
chem_is_lovex
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Homework Statement


A 2.0kg block of wood accelerates from rest down a smooth incline at 37o to the horizontal. It covers 1.26m in 1.0sec. Determine the frictional force acting.

Homework Equations


uhhh... this is the problem, I don't know what equation to use...


The Attempt at a Solution


can someone please help me?
 
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  • #2
Calculate the net accleration to get the net force, then subtract off the component of gravity that is pointing down the ramp. The remaining force is kinetic friction.
 
  • #3
If I were doing this problem, I'd:

1. Draw a free body diagram showing the ramp and forces acting on the block

2. Write the equations of motion of the block (i.e. sum F = ma)

3. Integrate twice to get an expression for x = x(t) where x is the distance the block travels down the ramp keeping in mind the initial conditions (hint: accelerates from rest)

4. Since you are given the distance traveled in a specific time, equation (3) can be solved for the friction force
 

FAQ: Solving for Friction Force on a Ramp

What is the "Physics Ramp Problem"?

The "Physics Ramp Problem" refers to a common physics problem where an object slides down a frictionless ramp due to the force of gravity. It is used to demonstrate the principles of Newton's laws of motion and conservation of energy.

What are the key concepts involved in solving the Physics Ramp Problem?

The key concepts involved in solving the Physics Ramp Problem include understanding the forces acting on the object, such as gravity and normal force, as well as applying equations of motion and conservation of energy to calculate the acceleration, velocity, and displacement of the object.

How do you calculate the acceleration of an object on a ramp?

The acceleration of an object on a ramp can be calculated using the formula a = (g * sinθ), where g is the acceleration due to gravity (9.8 m/s^2) and θ is the angle of the ramp. This assumes a frictionless surface and neglects air resistance.

What is the difference between static and kinetic friction in the Physics Ramp Problem?

In the Physics Ramp Problem, static friction refers to the force that keeps an object at rest on the ramp until a certain angle is reached, after which kinetic friction takes over as the object begins to slide down the ramp. Static friction is typically greater than kinetic friction, meaning more force is needed to overcome it.

How does the height and angle of the ramp affect the motion of the object in the Physics Ramp Problem?

The height and angle of the ramp affect the motion of the object by changing the gravitational potential energy and the angle at which the object slides down the ramp. A higher ramp will result in a greater gravitational potential energy and a steeper angle, leading to a faster acceleration and higher final velocity of the object.

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