Free Fall and gravitational acceleration

AI Thread Summary
A ball dropped from a height of 1.5 meters takes 0.54 seconds to hit the ground, prompting a calculation of gravitational acceleration (g). The equation used is y = 1/2gt^2, leading to an initial calculation of g as approximately 10.27 m/s². However, the correct value, calculated with more precision, is 10.29 m/s². The discrepancy from the accepted value of 9.8 m/s² highlights the importance of accuracy in calculations. The discussion concludes with an acknowledgment of understanding the correct approach.
tgilli
Messages
2
Reaction score
0

Homework Statement



A ball is dropped from 1.5 y(m) and hits the ground in .54 t(s). What is the value of g (m/s^2)?

The accepted value of g = 9.8m/s^2


Homework Equations


y=1/2gt^2


The Attempt at a Solution



I'm getting this wrong, but this is my attempt.

1.5 = 1/2g x .54^2
1.5 = 1/2 x .292
1.5 = .146
.146 / 1.5 =

10.27 g (m/s^2)

10.27 g (m/s^2) is close, but not correct. The correct answer is 10.29 m/s^2

Clarification would be appreciated.
 
Physics news on Phys.org
tgilli said:

Homework Statement



A ball is dropped from 1.5 y(m) and hits the ground in .54 t(s). What is the value of g (m/s^2)?

The accepted value of g = 9.8m/s^2


Homework Equations


y=1/2gt^2


The Attempt at a Solution



I'm getting this wrong, but this is my attempt.

1.5 = 1/2g x .54^2
1.5 = 1/2 x .292
1.5 = .146
.146 / 1.5 =

10.27 g (m/s^2)

10.27 g (m/s^2) is close, but not correct. The correct answer is 10.29 m/s^2

Clarification would be appreciated.

Calculate the expression with more precision. I get 10.288
 
LowlyPion said:
Calculate the expression with more precision. I get 10.288


Got it and understand. Thanks.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged 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