Galileo found
for steeper inclines
A
Greater acceleration
B.
Smaller acceleration
с
Zero acceleration
D
None of these
Answers
Answer:
D None of this
Explanation:
Galileo decided to study balls rolling (falling) down smooth inclined planes. He reasoned that what is true for a gentle incline is true for a steeper incline and so on up to the steepest of all inclines – straight-down free fall. Galileo took wooden boards, about 20 feet long, along which he carved straight smooth channels. He then timed how long it took a bronze ball to roll down the channel with the board set at different slopes. Measurements were also made of the time the ball took to traverse different fractions of the total length of the channel – ¼, ½, ¾, etc.
Galileo divided the time of descent into equal intervals (“ticks”) and measured the length of the descent (length of track traversed) in numbers of equidistant “points” on a ruler. The following figures record a typical experiment in Galileo’s notebook (the first number in each pair of numbers is the number of elapsed ticks of time and the second number is the accumulated distance at that time in points): 1, 33; 2, 130; 3, 298; 4, 526; 5, 824; 6, 1192; 7, 1620; 8, 2104.
Galileo analysed these numbers and unveiled a pattern as follows. If you divide 33, the distance covered on the first tick, into each of the distances travelled on the eight ticks you get the following sequence 1, 3.9, 9.03, 15.9, 25, 36.1, 49.1, 63.8. Rounding out the numbers you get one squared, two squared, three squared, four squared, five squared, six squared, seven squared and eight squared.
Allowing for some experimental error, the distance covered is directly proportional to the square of the time. An object in free fall for two seconds drops four times the distance it drops in one second, and in three seconds it drops nine times the one-second distance, and so on. This is Galileo’s Law of Falling Bodies.
Answer:
A Is the correct answer I think