Constant Velocity or Acceleration

In this case, since the angle of the incline is less than 90 degrees, the weight of the block will have a component parallel to the incline. Using the formula for force, we find that the weight of the block equals 29.4sin37, which is greater than the maximum static friction force of 5.89. Therefore, the block will move down the incline with a constant acceleration. In summary, the block will move with a constant acceleration down the incline due to the weight of the block being greater than the maximum static friction force.
  • #1
Noobstorm
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Homework Statement


a 3 kg block is placed on an incline of 37 degrees with respect to the horizontal. The coefficient of static friction is 0.333, and the coefficient of kinetic friction is 0.167. What type of motion, constant or acceleration, will be observed?


Homework Equations


μ = Friction / Normal
Force = Mass * Acceleration

The Attempt at a Solution



3(9.8) = 29.4
Fgx = 29.4sin37

.333 = f / 29.4sin37
f (static friction) = 5.89188944

.167 = f / 29.4sin37
f (kinetic friction) = 2.954791401



I really have no idea how to determine whether it's moving at an acceleration or constant velocity. Any help would be appreciated :)
 
Last edited:
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  • #2
In a problem involving different coefficients of static and kinetic friction, with static being greater than kinetic, your first objective is to determine whether there is any motion to begin with. For motion to happen, there must be a component of force parallel to the contact surface, whose magnitude is greater than the maximum force of static friction.
 

1. What is the difference between constant velocity and constant acceleration?

Constant velocity refers to a uniform rate of motion in a straight line, while constant acceleration refers to a uniform rate of change in velocity over time. In other words, an object with constant velocity maintains the same speed and direction, while an object with constant acceleration experiences a change in its speed or direction.

2. How can you determine if an object is moving with constant velocity or acceleration?

An object is moving with constant velocity if its speed and direction remain the same over time. On the other hand, an object is moving with constant acceleration if its velocity changes by the same amount in the same direction every second.

3. Is it possible for an object to have both constant velocity and acceleration?

No, it is not possible for an object to have both constant velocity and acceleration at the same time. This is because constant velocity means there is no acceleration, and constant acceleration means there is a change in velocity.

4. What is the formula for calculating constant velocity?

The formula for calculating constant velocity is v = d/t, where v is the velocity, d is the distance traveled, and t is the time taken. This formula assumes that the object is moving in a straight line with a constant speed.

5. Can an object have a constant acceleration but not a constant velocity?

Yes, an object can have a constant acceleration but not a constant velocity. This occurs when the object is changing its velocity at a constant rate, meaning its speed is increasing or decreasing by the same amount in the same direction every second.

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