Simple acceleration puzzle I with,I forgot how to do.

AI Thread Summary
The discussion focuses on deriving the expression for the acceleration of a steel ball released from a height above two markers, M1 and M2. The correct formula for acceleration is identified as 2h/(t2^2 - t1^2). The user initially attempts to use different equations for velocity and acceleration but struggles to arrive at the correct expression. They eventually solve the problem using the equation of motion, s = ut + (1/2)gt^2. The thread concludes with the user thanking others for their assistance in solving the puzzle.
inv
Messages
46
Reaction score
0

Homework Statement


Two markers M1 & M2're set up a vertical distance h apart.
untitled.jpg

When a steel ball is released from rest from a pt a distance x above M1,it's found that the ball takes time t1 to reach M1 and time t2 to reach M2.
Which expression gives the acceleration of the ball?
A.Wrong,B.Wrong,C.Wrong,D.Correct - >\frac{2h}{t_{2}^2-t_{1}^2}
Was wondering how to get that expression,I've done it b4 but forgot I'm afraid,pls guide?


Homework Equations


Acceleration is the rate of change of velocity,ie (v-u)/t where v is final velocity,u is initial velocity,t is time taken for the change in velocity to occur.


The Attempt at a Solution



Well,I've \frac{h+x}{t_{2}} as v
\frac{x}{t_{1}} as u
So I do (v-u)/t but I get something far from what the correct answer is ie
\frac{t_{1}(h+x)-xt_{2}}{t_{2}t_{1}(t_{2}-t_{1})}
 
Last edited:
Physics news on Phys.org
Use

s = ut + \frac{1}{2}gt^2
 
Solved*!Tq for answering!
 
Last edited:
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