Rolling Steel Ball Acceleration Questions

In summary, a steel ball starts from rest and rolls down a slope, reaching a speed of 5.0 m/s after 2.5s. It then goes up another slope with an acceleration that is half of the first slope. To find the time it takes for the ball to stop on the second slope, we can use the equation v=at, where v is the final velocity and a is the acceleration.
  • #1
j1249
14
0
a steel ball, starting from rest rolls down one slope and up another. it takes 2.5s to reach the bottom of the first slope, at which point its speed is 5.0 m/s. if the magnitutde of the acceleration on the second slope is exactly one-half that on the first slope, how long will it take for the ball to come to a stop on the second slope?
 
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  • #2
The key is to get a value of the acceleration on the first slope. You should be able to get that by using the values given in

v=at

where v is the final velocity, a is the acceleration and t is the time.
 
  • #3
alright great thanks alot! :)
 

1. What is "rolling steel ball acceleration"?

"Rolling steel ball acceleration" is a term used to describe the rate at which a steel ball increases its speed as it rolls down an inclined plane or slope.

2. How is rolling steel ball acceleration related to gravity?

Rolling steel ball acceleration is related to gravity because the force of gravity is what causes the ball to accelerate down the incline. The steeper the incline, the greater the acceleration due to gravity.

3. What factors can affect the acceleration of a rolling steel ball?

The acceleration of a rolling steel ball can be affected by several factors, such as the incline of the plane, the mass and size of the ball, the surface of the plane, and air resistance.

4. How can rolling steel ball acceleration be calculated?

Rolling steel ball acceleration can be calculated using the formula a = (g*sinθ)/(1+(I/mr^2)), where g is the acceleration due to gravity, θ is the angle of the incline, I is the moment of inertia of the ball, m is the mass of the ball, and r is the radius of the ball.

5. What is the difference between rolling steel ball acceleration and free-fall acceleration?

The main difference between rolling steel ball acceleration and free-fall acceleration is that in rolling steel ball acceleration, the ball is rolling down an inclined plane and is affected by other factors such as friction and air resistance, while in free-fall acceleration, the object is falling straight down with no other factors affecting its acceleration.

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