What is the relationship between ramp height and final velocity of a marble?

AI Thread Summary
The discussion centers on the relationship between ramp height and the final velocity of a marble. A marble released from a 10cm ramp achieves a final velocity of 1.4 m/s, prompting the question of its velocity from a 20cm ramp. The relevant equation used is the conservation of energy, equating gravitational potential energy to kinetic energy. The initial calculations suggested a final velocity of 2 m/s for the 20cm ramp, but there was uncertainty about its accuracy. Ultimately, the poster resolved the confusion and found the correct relationship between height and velocity.
16Candles
Messages
6
Reaction score
0

Homework Statement


A marble is released from a 10cm ramp. Its final velocity is 1.4 m/s. If it is released from a 20cm ramp, twice the height, what will its final velocity be?

Homework Equations


E = mgy + mv^2/2
mgy = mv^2/2 (Like initial gravitational potential energy will equal final kinetic energy? Does that make sense?)

The Attempt at a Solution


I tried to use mgy = mv^2/2, where I get 2gy = v^2. For g, our physics teacher has us use 10 m/s^2, and if the height is 20cm, then (2*.2m*10m/s^2) = v^2, 400 = v^2, v = 2m/s, but I don't think that is right.

I asked my teacher for help, and he said to think about the relationship between the height and the velocity (which I think has to do with square roots, but other than that, I am lost).
 
Last edited:
Physics news on Phys.org
Never mind, I figured it out! :)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Trying to Calculate Initial Velocity and Final Velocity
Replies
2
Views
687
Truck accelerating down a ramp
Replies
10
Views
959
2D kinematics problem -- Skateboard ramp jump calculations
Replies
4
Views
2K
Find the final velocity of a metallic bar
Replies
1
Views
1K
Finding the equation for final velocity in a perfectly elastic collision
Replies
13
Views
6K
Calculating the velocity of a head-on impact between two suns
Replies
6
Views
2K
Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
Coefficient of Friction question for a cart going down a wooden ramp
Replies
18
Views
3K
How do I find the final velocity and how high the bridge is?
Replies
2
Views
2K
Final velocity of two blocks between a spring
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top