Marble Rollocoster?

Question

I am learning about Nutin's law an object going in a straight line will remain to until it is acted on. I am doing an obsticle corse for it in school, so does anyone know anything that will slow a marble down?

Answer 1

A marble is a rolling mass. The theory is that the marble rolls along and the area of the marble in contact with the surface it is rolling on is not slipping.

As the marble rolls along, the forces that act on it are

1. Gravity

2. Air resistance

I recommend that you focus on gravity to create forces of predictable magnitude and direction. You can use ramps and then apply Newton's laws and a little trig to calculate the force magnitudes and predict the motion of the marble. As long as you have a decent velocity without being too fast, air resistance will be negligible.

I designed a simple track for you that you could make out of light plywood and some glue.

The track I propose will be a valley that is 2 meters long (a little over 6 feet) and 1/2 meter wide( 20 inches wide will give you some margin). The valley sides are set at an angle of 30 degrees. At one end of the valley at the top of the valley side set up a ramp that will inject a marble such that the direction of the velocity of the marble is straight with respect to the edge of the valley. The height of the ramp will control the velocity of the.

Now, consider a coordinate system that has x starting from the same end as the ramp and running parallel to the sides of the valley. y is perpindicular to the sides of the valley.

I created a variable, h, that is the vertical height of the starting end of the ramp with respect to the entry point of the marble.
Using conservation of energy, the velocity of the marble will be related through the equation:
1/2*m*v^2=m*g*h
v=sqrt(2*g*h)

The time it will take the marble to roll the length of the valley I set as t
length of the valley is 2m
so 2m=v*t
t=2/sqrt(2*g*h)

When the marble enters the top edge of the valley it will have a velocity in the x direction of v as derived above. This is your constant velocity since the only forces that will act on the marble in the x direction is air resistance, which we will assume to be negligible.
Since the marble enters the valley near the top edge, it will be acted on by gravity to pull it down the edge. If you have the marble enter the ramp at exactly .25m from the center, it reach the center of the ramp in time t'
where
.25=1/2*g*cos(30)*t'^2
or t'=sqrt(.5/(g*cos(30))

I thought it would be fun to consider an experiment where you control how many times the marble rolls across the center of the valley before exiting at the other end.
This I set as N
Note that t/t'=N
N=(2/sqrt(2*g*h))/sqrt(.5/(g*cos(30))
N=2*sqrt(g*cos(30))/sqrt(2*g*h*.5)
N=2*sqrt(cos(30)/h)

Then I thought that it would be fun to set up an equation where we decide how many Ns we want according to how high we set the end of the ramp. Sound like fun?

N^2=4*cos(30)/h
h=4*cos(30)/N^2
(h is in units of meters)
N h(m) h(inches)
3 .385 15.15
4 .0771 3.04


Have fun.

j

Answer 2

Daisy, I lost my marbles years in the past and did not even understand they have been lacking until eventually you basically asked the question. LOL heavily regardless of the undeniable fact that, I accrued a remarkable style of marbles whilst i replaced right into a new child yet I wasn't very sturdy on the interest so I wound up loosing maximum of them. I remember I had extremely some varieties of marbles ... 'purries that have been sparkling glass which you will discover by and that they got here in diverse hues, cat eyes that have been additionally sparkling glass yet that they had a layout interior the midsection that recognized like a cats eye, the extremely some marbles have been diverse hues which you ought to not see by, and a few have been stable hues yet had swirls in them yet i don't remember what they have been called. l additionally had tommy trollers that have been approximately thrice greater desirable than the familiar marbles yet they have been greater stable to shoot besides the fact that it did not count with me because of the fact I wasn't sturdy at taking pictures any sized marble. I had extremely a set as a new child yet i think of I lost maximum of them interior of a pair of weeks and after that my mom and pop have been in no hurry to interchange what I had lost so my marble taking pictures days have been extremely limited. thank you for the momories!

Answer 3

An increase in the elevation, causing the Kinetic Energy to be converted to Gravitational Potential Energy. If the marble loses kinetic energy, it will slow down.

you could also add a substance to the track that will increase the frictional forces on the marble. The increased friction is essentially a force that will oppose the forward motion of the marble, slowing it down.