Answer:
Step-by-step explanation:
Consider car 1 with mass and original speed and car 2 with mass and original speed . We can consider both cars as punctual masses. In this case, recall that the kinetic energy of a particle of mass and speed is given by the expression . Then, since car 1 has twice the mass of a second car, but only half as much kinetic energy based on the description, we have the following equations.
, .
Replacing the equation in the second one, leads to , which implies Since and assuming that both speeds are positive, then .
Given that, if both cars increase their speed by 5.5 m/s then they have the same kinetic energy, we have that
. Using the previous result, and expressing everything in terms of and we have that
(where cancells out).
Then, we have the following equation , which by algebraic calculations leads to . Since we assumed , we have that .Then,
Answer:
I guess that we want to find how many grams of fat we have in a small pizza.
In a small pizza, we use 12 cups of cheese.
in 14 cups of cheese, we have 6 grams of fat.
Then, in 12 cups of cheese, we have x grams of fat.
We want to find the value of x.
We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:
12cups/14cups = x/6grams
x = (12/14)*6grams = 5.14 grams
Then in the 12 cups of cheese, we have 5.14 grams of fat.
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Step-by-step explanation:
434 454
Answer:
C
Step-by-step explanation:
For this problem, the point where the line changes its slope is the focus point. The trick for this is to find the x point for the point. You have to look at he absolute value parenthesis, for this just put the opposite negative value of the number being added or subtracted inside the parenthesis. The "b" (y=mx+b) for the equation, isn't changed at all, so -2 would be the y value.