Answer:
(b)-3 m,-7 m
Explanation:
Displacement is a vector quantity that connects the initial position of an object to its final position after a certain motion.
Mathematically, displacement can be written as:

where
is the final position
is the initial position
The direction of this vector is from the initial position to the final position.
In order to calculate the displacement of an object, therefore, it is necessary to correctly take into account the sign of each motion, which gives the direction of each motion.
Let's analyze the three cases:
(a) -3 m, +5 m;
In this case, the object moves 3 m in the negative direction first, and then 5 meters in the positive direction; so the net displacement is
d = -3 + 5 = +2 m
(b)-3 m,-7 m;
In this case, the object moves 3 m in the negative direction first, and then 3 meters in the negative direction; so the net displacement is
d = -3 - 7 = -10 m
(c) 7 m, -3 m?
In this case, the object moves 7 m in the positive direction first, and then 3 meters in the negative direction; so the net displacement is
d = +7 + (-3) = +4 m
So, the only situation in which we have a net negative displacement is situation b).
<span>Answer:
F(x) = ax^2 - bx
or
F(x) = ax² - bx
F(x) = 30x² - 6x
â«F(x)dx = â«(30x² - 6x)dx
as this is evaluated from zero to x
W = 10x³ - 3x² <===ANS
W = 10(0.42³) - 3(0.42²) - [10(0³) - 3(0²)]
W = 0.212 J <===ANS
W = 10(0.72³) - 3(0.72²) - [10(0.42³) - 3(0.42²)]
W = 1.966 J <===ANS</span>
That ratio is 2 .
<h3>What is ratio?</h3>
A ratio is the comparison of the two numbers bydivision.
Taking the first two outputs, or the -1/8 and -1/4, we can divide not the second one by the first one to find the
ratio:
-1/4-1/8
When dividing fractions, we multiply by the reciprocal:
-1/4x-8/1
To multiply fractions, multiply straight across:
(-1x-8)/(4x1) 8/4=2
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Answer:
Explanation:
Pressure (P): the force exerted by gas molecules as they strike a given surface.
Volume (V): the space occupied by gas molecules.
Temperature (T): A measure of how fast gas molecules move (kinetic energy).
Amount (n): Amount in moles of gas molecules.