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
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top