An object sliding down a slope

In summary, an object slides down a 30° angled slope with even velocity. It is then hit with a force, causing its initial velocity to become 2.5m/s up the slope. To determine how far the object will go before coming to a stop, you need to consider its initial kinetic energy and the vertical distance it moves up the slope, which contributes to gravitational potential energy. To determine if the object will slide back down, you need to compare the force of friction acting up the slope to the force of gravity acting down the slope. Since the object is initially at rest, the forces must be equal, but when it comes to a stop, the force of friction will be greater than the force of gravity, causing the
  • #1
bjarnidk
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Homework Statement


An object slides down a 30° angled slope with even velocity.
The object is hit with a force such that its initial velocity is now 2,5m/s up the slope. How far does the object go before coming to a stop (I answered this, though) and how much of the kinetic energy becomes potential energy? Does the object slide back down? If so, why?


Homework Equations


Work and force equations


The Attempt at a Solution


I can answer how far it went but I'm unsure on where to begin on the rest!
 
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  • #2
For the first part, you want to consider how much kinetic energy it has to start (with the 2.5 m/s velocity), and then how far vertically it moves up the slope, which would contribute to gravitational potential energy. That would use the distance it travels along the slope in addition to the angle of the slope.

For the last part, you want to consider how the force of friction acting up the slope compares to the force of gravity, which acts down the slope. You know that by sliding down with constant velocity, the forces must be equal, so how do you think they will compare when the block is at rest?
 
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  • #3
Thanks!
 
Last edited:

1. How does the angle of the slope affect the speed of the object?

The steeper the slope, the faster the object will slide down. This is because a steeper slope means there is a greater force pulling the object downward, increasing its speed.

2. What factors influence the friction between the object and the slope?

The weight of the object, the roughness of the surface, and the presence of any lubricants or other substances can all affect the friction between the object and the slope. Heavier objects will experience more friction, while smoother surfaces and lubricants can reduce friction.

3. How does the mass of the object affect its acceleration down the slope?

The mass of the object does not directly affect its acceleration down the slope. According to Newton's Second Law of Motion, the force of gravity pulling the object down the slope is equal to the mass of the object multiplied by its acceleration. Therefore, the mass and acceleration are proportional and do not directly impact each other.

4. What is the role of air resistance in the object's motion down the slope?

Air resistance can act as a force opposing the motion of the object down the slope. This can slow down the object's acceleration and decrease its overall speed. However, the effect of air resistance is typically minimal for objects sliding down slopes, as the force of gravity is much stronger.

5. How does the surface material of the slope affect the object's motion?

The surface material of the slope can impact the object's motion in several ways. A rougher surface will increase friction, slowing down the object's motion. A smoother surface will reduce friction, allowing the object to slide faster. Additionally, certain materials may have a stronger or weaker gravitational pull on the object, altering its acceleration down the slope.

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