How to find distance when a ball rolls slope with angle?

In summary, the conversation discusses calculating the distance a steel ball will travel in the x direction when launched horizontally from a table at different heights and angles. The equations used include a=v^2/r, V=sqrt(10/7)xgh, and g=9.8m/s. The person asking for help has found a final velocity of 3.74m/s but is unsure of what to do next. They request clarification on whether rotational energy needs to be considered and the intended level of the problem.
  • #1
physicsstudent101
2
0

Homework Statement


A) For a steel ball rolling down a 35 degree slope from a height of .5 m above the table, how far will the ball travel in the x direction if it launches horizontally from the table which is 1m high

For the same ball rolling down a 45 degree slope from one meter high, what maximum diameter of loop the loop will the ball go around without falling? Show work?

Homework Equations


a=v^2/r
V=sqtroot(10/7)xgh
g=9.8m/s

The Attempt at a Solution


I got V= 3.74m/s which seems pretty high/fast and then idk what else to do to find the distance. Any help would be great!
 
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  • #2
physicsstudent101 said:

Homework Statement


A) For a steel ball rolling down a 35 degree slope from a height of .5 m above the table, how far will the ball travel in the x direction if it launches horizontally from the table which is 1m high
I think you need to show more of the details of your work so far. How did you find the final velocity? Do you need to take into account the rotational energy of the steel ball?

Perhaps you could tell us what physics class level this problem is aimed at?
 

1. How do you calculate the distance traveled by a ball rolling down a slope?

The distance traveled by a ball rolling down a slope can be calculated using the formula d = (v2sin2θ)/g, where d is the distance, v is the initial velocity, θ is the angle of the slope, and g is the acceleration due to gravity.

2. What is the relationship between the slope angle and the distance traveled by the ball?

The distance traveled by a ball rolling down a slope is directly proportional to the angle of the slope. This means that the steeper the slope, the farther the ball will travel.

3. How does the initial velocity affect the distance traveled by the ball on a slope?

The initial velocity has a direct impact on the distance traveled by the ball on a slope. The higher the initial velocity, the farther the ball will travel. This is because a higher initial velocity will give the ball more kinetic energy, allowing it to roll further.

4. Can the distance traveled by the ball on a slope be affected by friction?

Yes, friction can affect the distance traveled by the ball on a slope. Friction acts against the motion of the ball, causing it to slow down and ultimately travel a shorter distance. This is why smooth and slippery surfaces, such as ice, allow the ball to travel farther on a slope.

5. Is there a limit to how far a ball can travel on a slope?

Yes, there is a limit to how far a ball can travel on a slope. This limit is determined by the angle of the slope and the initial velocity of the ball. If the slope is too steep, the ball may roll back down due to gravity, and if the initial velocity is too low, the ball may not have enough energy to overcome friction and reach the end of the slope.

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