marble momentum lab\nfold the index card in half so that it stands up (see picture). the idea is that marble…

marble momentum lab\nfold the index card in half so that it stands up (see picture). the idea is that marble will roll down the ruler and bump the card. the farther the index card moves, the more momentum the marble has. use a ruler (centimeters) to measure how far the index card moved back.\nnext, prop the ruler up on two books. roll the same marble down the ruler. the card get pushed away farther?\nmass of the small marble \n|height|distance the card moved|total time the marble traveled|marble speed v = d/t|p=mv momentum|\n|1 book height| | | | |\n|2 books height| | | | |\n|3 books height| | | | |\n1. how do your results compare to each other?\n2. why did one height have more momentum than the other? explain.

marble momentum lab\nfold the index card in half so that it stands up (see picture). the idea is that marble will roll down the ruler and bump the card. the farther the index card moves, the more momentum the marble has. use a ruler (centimeters) to measure how far the index card moved back.\nnext, prop the ruler up on two books. roll the same marble down the ruler. the card get pushed away farther?\nmass of the small marble \n|height|distance the card moved|total time the marble traveled|marble speed v = d/t|p=mv momentum|\n|1 book height| | | | |\n|2 books height| | | | |\n|3 books height| | | | |\n1. how do your results compare to each other?\n2. why did one height have more momentum than the other? explain.

Answer

Explanation:

Step1: Analyze the relationship between height and speed

As the height from which the marble rolls (number of books) increases, the marble gains more gravitational - potential energy which is converted to kinetic energy. According to the formula (v = \frac{d}{t}), with an increase in height, the speed of the marble likely increases (assuming similar track conditions).

Step2: Analyze the relationship between speed and momentum

Momentum is given by (P=mv). Since the mass (m) of the marble is constant, as the speed (v) increases (from the increase in height), the momentum (P) also increases.

Step3: Analyze the results comparison

The greater the height from which the marble rolls, the farther the index - card moves. This indicates that the marble has more momentum at greater heights. For example, when the height is 2 books, the card moves farther than when the height is 1 book, showing that the marble has more momentum at the 2 - book height.

Answer:

  1. The results show that as the height from which the marble rolls increases (from 1 book height to 2 books height to 3 books height), the distance the card moves increases. This implies that the marble has more momentum at greater heights.
  2. One height has more momentum than the other because as the height increases, the marble has more gravitational - potential energy which is converted into more kinetic energy. Since momentum (P = mv) and the mass (m) of the marble is constant, an increase in speed (v) (due to more kinetic energy from greater height) leads to an increase in momentum.