Solving an Uphill Task: A 10° Frictionless Ramp & 8 m/s Cart

AI Thread Summary
To determine how far a cart moving at 8 m/s will travel up a frictionless ramp inclined at 10 degrees, energy conservation principles can be applied. The kinetic energy of the cart will convert into gravitational potential energy as it ascends the ramp. The relevant equations are kinetic energy (KE = 0.5 * m * v^2) and gravitational potential energy (PE = m * g * h), where h can be expressed in terms of the distance along the ramp. By equating the initial kinetic energy to the potential energy at the highest point, the distance can be calculated. Understanding these equations is crucial for solving the problem effectively.
fizzicks
Messages
3
Reaction score
0
This is the most horrible question I've ever had to do. It should be simple, but it's not!

A cart moving at 8 m/s on a flat surface goes up a frictionless ramp tilted 10 degrees from the horizontal. How far up the ramp should the cart go?

It's not worded like that exactly, but the question is the same. Any ideas on how to solve this one? :confused:
 
Physics news on Phys.org
use energy?
 
But what do I have to do to find out how far up the ramp it will go? I don't know what equation to use. I tried and tried but can't figure it out.
 
State the equations for Kinetic energy and gravitational potential energy.
 
I know about the potential energy and kinetic energy, but if I only have the speed and angle of the ramp, how am I supposed to work it out?
 
what are the equations? write them out. it may help
 

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 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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

Coefficient of Friction question for a cart going down a wooden ramp
Replies
18
Views
3K
Cart and ramp with same mass(dynamics)
Replies
5
Views
2K
Impulse and Momentum: Ball and cart connected by a cord
Replies
24
Views
3K
Conservation of Energy of cart Problem
Replies
5
Views
5K
Stopping Distance affected by Mass of Cart on Inclined Plane
Replies
1
Views
4K
What is the magnitude of acceleration for a block released up an inclined plane?
Replies
10
Views
5K
How Far Will a Block Travel Up a 32-Degree Ramp with Initial Speed of 3.7 m/s?
Replies
2
Views
1K
What Force Keeps the Block from Sliding on a Frictionless Inclined Ramp?
Replies
10
Views
2K
A block on a frictionless circular ramp
Replies
5
Views
2K
How to Solve a Basic Sliding Box Problem on a Frictionless Ramp?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top