A Block Sliding Across the Floor

In summary, the conversation discusses a problem where a box slides on a frictionless floor and then encounters a rough region with a coefficient of friction of 0.1. The length of the strip is 1.56734693877551 m and the question is to find the speed of the box when it leaves the strip. The suggested solution involves using the equation for force of friction and calculating the work done by the friction force, then using conservation of energy to find the new kinetic energy and solve for velocity. Alternatively, one can also use the kinematic laws to solve for velocity and displacement. The conversation ends with the thread being closed due to lack of effort in finding a solution.
  • #1
Jamesdynasty
2
0

Homework Statement



A box slides across a frictionless floor with an initial speed v = 3.2 m/s. It encounters a rough region where the coefficient of friction is µk = 0.1. If instead the strip is only 1.56734693877551 m long, with what speed does the box leave the strip?

Homework Equations





The Attempt at a Solution

 
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  • #2
Well firstly, you've measured the length of the strip to less than the diameter of an atom! Stick with something like 1.57m, any more precision than that is unnecessary.

What you want to do is use the equation for the force of friction and calculate what it should be given the coefficient of friction. You can use the definition of work, W = ∫Fdx to calculate how much work the Friction force will do, and realize that this energy is lost. Then, using conservation of energy calculate what the new kinetic energy of the box should be, and solve for the velocity.
 
  • #3
still a little confused
 
  • #4
Can you calculate the force of friction? If you feel confused about the mass of the box, just take it 1 kg. When you know the force, find the acceleration.

If you learned about energy you can use dipole's hint. Calculate the work of the friction (how do you get the work?) and the work done is equal to the change of kinetic energy.

Or apply the kinematic laws.
The acceleration (deceleration really) is constant. What do you know about "motion with uniform acceleration" ? What are the equations for the velocity and displacement?

ehild
 
  • #5
Based on zero effort by Jamesdynasty, this thread is closed.
 

1. What is the force required to move a block across the floor?

The force required to move a block across the floor depends on several factors, such as the weight of the block, the type of surface it is sliding on, and the amount of friction present. Generally, a greater force is required to move a heavier block or to slide it on a rough surface with high levels of friction.

2. How does the angle of the floor affect the movement of the block?

The angle of the floor can significantly impact the movement of a block. If the floor is flat, the block will require less force to slide across it compared to an inclined floor. This is because the weight of the block is distributed evenly on a flat surface, while on an inclined surface, the weight is concentrated in the direction of the slope, making it more difficult to move.

3. What is the role of friction in the movement of a block across the floor?

Friction plays a crucial role in the movement of a block across the floor. Friction is the force that opposes motion, and it occurs when two surfaces are in contact. The amount of friction present between the block and the floor will determine the force required to move the block. More friction will result in more force needed to overcome it and move the block.

4. How can the speed of the block be increased while sliding across the floor?

The speed of the block can be increased by applying a greater force to the block or by reducing the amount of friction between the block and the floor. This can be achieved by using a smoother surface or by applying a lubricant to the floor.

5. What is the difference between static and kinetic friction in the context of a block sliding across the floor?

Static friction is the force that keeps an object at rest when a force is applied to it. In the context of a block sliding across the floor, static friction is the force that keeps the block from moving until a greater force is applied. Kinetic friction, on the other hand, is the force that opposes the motion of an object once it is in motion. In the case of a block sliding across the floor, kinetic friction is the force that slows down the block's movement.

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