r 3 Measurement of g using an electronic timer experiment gives a direct measure

Question

r 3 Measurement of g using an electronic timer experiment gives a direct measurement of the acceleration due to gravity Safety: Keep bags and other trip hazards out of the way Switch off the current to the electromagnet when not using the apparatus Procedure Ball bearing a. Set up the apparatus as shown in the diagram. You may need to adjust the distance of fall and the point at which the ball strikes the flap. b. Arrange the timer so that it starts when the electromagnet is switched off and stops when the hinged flap opens e. Check that the flap does open when the ball strikes it. You may need to make the distance of fall larger, or move the flap so that the ball strikes it further from the hinge. d. Measure the distance h from the bottom of the ball to the hinged flap. Be careful to avoid parallax error in this measurement. e. Measure the fall time three times and find the average. f. Repeat step e for a range of heights between 0.5 m and 1.5 m. g. Plot a graph of 2h against r h. Use the graph to find g. The value ofg is calculated from kinematic equation s = ut + 1 2 ar. this case h 1/2gr2 as initial velocity is zero. Rearranging, gives 2h-

Explanation / Answer

1. advantages of using light gates : the scope of error is reduced when we use light gates as an accurate measurement of time interval for a given distance helps us to calculate the speed of the object

2. the value of g is 9.81 m/s/s

but for free falling objects, these objects are aso acted upon by the resistive force of the air

due to air resistance the time taken for the ball to rech ground is more than it should have taken for free fall

so, apparent t is more , hence apparent g is less

t^2 = 2h/g

hence measured value of acceleration due to gravity islower than expected value because of air resistance

3. now, for t^2 = 2h/g

if t^2 = y

h = x

2/g = m

then this is a striaght line of the form

y = mx

its slope is 2/g

and, it passes through the origin

1. instead of measuring the time of fall of the ball on the floor for multiple times ( where the ball loses energy while colliding with the surface), instead doing this once will give us the most accurate result

doing experiment again and again to get average value of g will show doe to the fact that the energy wasted due to collisionis by default not included in the experimental appratus use, hence the results are more precise

2. as the distance fallen gets longer, the error in the results of light gate increases

due to increase in this error, the error in value of g shall increase too

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