Minimum Speed for Puck to Reach Top of Frictionless Ramp?

  • Thread starter Thread starter talaroue
  • Start date Start date
  • Tags Tags
    Ramp Velocity
AI Thread Summary
To determine the minimum speed for a 136.4 g puck to reach the top of a 3.31-m-long, 24° frictionless ramp, the relevant equations are kinetic energy (K = mV²/2) and gravitational potential energy (U = mgY). The vertical height (Y) must be calculated using the sine of the angle, as the height is the opposite side of the triangle formed by the ramp. The correct approach leads to the equation gh = v²/2, allowing for the cancellation of mass. The final calculation shows that the puck requires a speed of approximately 5.15 m/s to reach the top of the ramp.
talaroue
Messages
302
Reaction score
0

Homework Statement


What minimum speed does a 136.4 g puck need to make it to the top of a 3.31-m-long, 24° frictionless ramp?


Homework Equations


K=mV^2/2 U=mgY



The Attempt at a Solution


PHysics9.jpg
 
Physics news on Phys.org
the 'y' in your equation is the vertical distance, not horizontal. So the cos24 should be sin24
 
wrong its cos.

cos angle = b/c

f * s + potential energy = mv^2 / 2

edit: mistake if you want height then its sin.
 
if the equation is mgh = mv^2/2 then you can cancel out the mass.

gh = v^2/2

9.82 * 1.35m = v^2 / 2

26.5 =v^2

v = 5.15m/s

but it think this is totally wrong.
 
You have the angle, hypotenuse and want to know the opposite side. Therefore you need to use the sine.
 
ahhhhh. Thanks guys i see where i went wrong you guys are awesome!
 
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...
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...
Back
Top