Velocity of sliding object

In summary, the block slides down a 1 meter ramp at a 30 degree angle with a coefficient of kinetic friction of 0.4. The goal is to find the block's speed at the bottom of the ramp. To solve this problem, the kinetic friction force can be found by multiplying the coefficient of friction by the normal force, which can be calculated as the sum of the force of gravity and the mass times acceleration. The normal force and the component of the weight of the block must cancel each other out. The correct formula for acceleration, provided by the professor, is a = g[sinO - UkcosO]. It is important to understand how to derive formulas from first principles rather than memorizing them.
  • #1
vic05
2
0

Homework Statement


Block slides down a 1 meter ramp at a 30 degree angle. The coefficient of kinetic friction is 0.4
what is the block's speed at the bottom of the ramp?


Homework Equations



kineticFriction force = coefficient of friction X normal Force

normal Force = force of gravity + mass*acceleration

The Attempt at a Solution



I've tried the problem but i get stuck of finding the normal force required to find the kinetic friction force. Can someone guide me a little bit please... thank you in advanced
 
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  • #2
The normal force and the component of the weight of the block need to cancel each other out.
 
  • #3
solved! the professor gave us a formula but I copied it wrong... just for reference the formula which gave acceleration was a = g[sinO - UkcosO]
 
  • #4
Physics not about memorizing formulas, it is about deriving them from first principles, so can you?
 
  • #5


I would first analyze the given information and identify the key variables involved. In this case, we have a block sliding down a ramp, with a known angle and coefficient of kinetic friction. The goal is to find the block's speed at the bottom of the ramp.

To solve this problem, we can use the equations for Newton's Second Law of Motion and the Work-Energy Theorem.

First, we can calculate the normal force acting on the block using the equation for normal force: normal Force = force of gravity + mass*acceleration. Since the block is on a ramp, the force of gravity will be acting along the ramp's slope, while the normal force will be perpendicular to the ramp's surface. This means we can use trigonometry to find the components of the force of gravity and then add them together to find the normal force.

Next, we can use the equation for kinetic friction force: kineticFriction force = coefficient of friction X normal Force. With the normal force calculated, we can easily find the kinetic friction force acting on the block.

Finally, we can use the Work-Energy Theorem, which states that the work done on an object by a force is equal to the change in the object's kinetic energy. In this case, the work done by the kinetic friction force will be equal to the change in the block's kinetic energy. We can set up an equation with the known values for work and kinetic energy, and solve for the block's speed at the bottom of the ramp.

In conclusion, to find the block's speed at the bottom of the ramp, we need to use a combination of equations and concepts, including Newton's Second Law of Motion, the Work-Energy Theorem, and trigonometry. By breaking down the problem into smaller parts and using the appropriate equations, we can find the solution.
 

1. What is velocity?

Velocity is a measure of the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. How is velocity calculated?

Velocity is calculated by dividing the change in an object's position by the time it takes for that change to occur. This can be represented by the equation v = ∆x/∆t, where v is velocity, ∆x is change in position, and ∆t is change in time.

3. What is the difference between velocity and speed?

Velocity and speed are often used interchangeably, but they are actually two different quantities. While speed only measures how fast an object is moving, velocity takes into account the direction of movement as well.

4. How does the velocity of a sliding object change over time?

The velocity of a sliding object may change over time due to various factors such as friction, air resistance, and changes in slope or surface. It may increase, decrease, or remain constant depending on these factors.

5. How does the velocity of a sliding object affect its motion?

The velocity of a sliding object plays a crucial role in its motion. The direction of the velocity vector determines the direction of the object's movement, while the magnitude of the velocity determines the speed at which it moves. Changes in velocity can also affect the object's acceleration, which ultimately determines how it moves.

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