La b 2 | Physics homework help

Question 4: 1 point

Definitions Acceleration due to gravity: Acceleration with which any body falls, when it is falling freely with no air resistance or any other forces acting on it other than gravitational force, close to the surface of earth, is called acceleration due to gravity. It is denoted by' g ' and has the value of approximately 9.81 m/s2. NOTE: For the case of our experiment, we will neglect air resistance, even though it is present, as it is negligibly small. Free fall: Any body falling under this acceleration due to gravity, and with no other forces acting on it, is said to be in free fall motion. Apparatus setup and concept Key Idea: Drop bodies from rest through height h under free fall motion and record total time t of fall.

From Newton’s equation of motion for a body:

y− y0 = v0 t+ 1 2 a t 2 (1) wherey is final position,y0 is initial position, v0 is initial velocity and a is constant acceleration. In this case: y− y0 =−h , as final height is lower than initial, v0 = 0 , as body drops from rest and a =−g , acting downwards. Final equation from (1), using these: h = 1 2 g t 2 (2) Outline of procedure Drop objects from different initial heights, recording all h values. Record the total time of fallt for all these differenth . Compute average⟨t ⟩ for small and big balls. Using these data, create h vs.⟨t ⟩2 plots. Then comparing Eqn. (2) with straight line equation y = mx + b (3) with the correspondencey→h , x→ t2 , we determine acceleration due to gravity g from the slopes of the plots and take average of these values. h t 2 slope→g Properties of acceleration due to gravity Its magnitude does not depend on mass, shape, size and material of the object. When close enough to the surface of the earth, its magnitude does not depend on the height from which the body is dropped. Resulting Observation from these properties: In the absence of air resistance or any other forces, other than the gravitational force, all bodies dropped from the same height (which is much smaller compared to the radius of the earth) will reach the ground at the same time. We can recast equation(2) to clearly see that time of fall is independent of mass and size of free-falling object: t = √ 2hg (4) End of Theory Provided data for Exp 2 and instructions for data analysis and lab report