How Does Incline Angle Affect Ice Block Acceleration on a Frictionless Ramp?

  • Thread starter Thread starter oreosama
  • Start date Start date
  • Tags Tags
    Block Forces Ice
Click For Summary
SUMMARY

The discussion focuses on calculating the time, angle, and acceleration of a block of ice sliding down a frictionless ramp. The user derived the time to hit the bottom of the ramp using the formula T = 2L / v1, where L is the length of the ramp and v1 is the final speed at the bottom. The acceleration of the ice was determined using A = v1^2 / (2L). The user seeks clarification on calculating the angle of inclination (theta) of the ramp, which requires understanding the geometry of the triangle formed by the ramp.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of trigonometry, specifically right triangles
  • Familiarity with concepts of acceleration and velocity
  • Ability to interpret and manipulate coordinate systems
NEXT STEPS
  • Research the relationship between angle of inclination and acceleration on an incline
  • Study the derivation of the sine and cosine functions in right triangles
  • Learn about the principles of energy conservation in frictionless systems
  • Explore advanced kinematics involving multiple dimensions and forces
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding motion on inclined planes.

oreosama
Messages
51
Reaction score
0
A block of ice of mass m is released from rest at the top of a frictionless ramp of length L. at the bottom of the incline the speed of the ice is v1. given m,L,v1 determine

the time needed to hit the bottom
the angle between the ramp and the horizontal
the accel of the ice

I made my coordinate system slant at the angle of the ramp because I thought this would make it less work

http://i.imgur.com/d18GN.png

(is this okay?)



x0 = 0
x = L
v0 = 0
v = v1
a= A
t = T

v1 = 0 + AT

T = v1/A

v1^2 = 2AL

A = v1^2 / 2L

T = v1 / (v1^2 / 2L)

T = 2L / v1

I got these answers pretty cleanly but I have no idea what I should be doing to get theta since I don't see a way to get the lengths of the potential triangle with hypoteneus L
 
Physics news on Phys.org
What is the acceleration of the ice if it is dropped from rest, free fall?
If it has to follow the ramp inclination, what is it's acceleration?
 

Similar threads

  • · Replies 25 ·
Replies
25
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
18
Views
8K
Replies
18
Views
3K
Replies
10
Views
2K
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
10
Views
5K
  • · Replies 24 ·
Replies
24
Views
3K