Why did I get the wrong answer?

  • Thread starter Thread starter dukkie
  • Start date Start date
AI Thread Summary
The discussion revolves around a physics problem involving a mass on a spring and the calculation of displacement from equilibrium. The user calculated the spring constant and angular velocity correctly but obtained an incorrect displacement value due to using degrees instead of radians in their calculator. After confirming the use of radian mode, they found the correct answer. This highlights the importance of ensuring the correct mode is set on calculators when solving trigonometric equations. The issue was resolved by switching to radian mode.
dukkie
Messages
15
Reaction score
0
Here is what I was given in the problem:

A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. It is then pulled downward an addtional distance of 12.5 cm and released. Find the displacement from the equilibrium position of the mass (in cm) after 0.42 sec. Count up as positive and g=9.81m/s^2.


I figured out the spring constant (k=54.06 N/m) and the angular velocity (14.15 s^-1). I then entered the two values I had just found into the displacement equation [x at(t=0.42 s)=A cos (wt)] and got (-12.43 cm). That was wrong. The answer is (-11.78 cm). What did I do wrong? I tried the equation several different ways and got the same answer every time and it was the wrong one.

Thanks so much for taking the time to help me.:smile:
 
Physics news on Phys.org
Are you using Radian mode when calculating your answer?
I can find the correct answer by using radian mode.
 
thanks. that was my problem. my calculator was set on degrees instead of radians.:blushing: ooops!
 
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