There were 15 apples in a bowl. Dan used some apples to make a pie. Now there are 7 apples in the bowl. How many apples did Dan
2 answers:
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Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble = 12.3 gm
Velocity of before collision
= 15.5 cm/s
Velocity of after collision
= 77.5 cm/s
Marble 2:
Mass of the marble = 24.6 gm
Velocity of before collision
= 62 cm/s
Velocity of after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒
⇒
⇒ Plugging the values.
⇒
⇒
⇒
⇒ ...subtracting both sides 953.25
⇒
⇒ ...dividing both sides with 24.6
⇒
⇒ cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Answer:
2x+59.
Step-by-step explanation:
Let <em>J </em>represent Jessica's weight and <em>R</em> represent Ronda's weight.
Jessica weighs <em>x+34</em> pounds. Thus:
Ronda weighs 12 pounds less than Jessica. In other words:
The sum of their weights, therefore, is:
Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:
The sum of the new [weights] is represented by 2x+59.