Please help The position of masses 4kg, 6kg, 7kg, 10kg, 2kg, and 12kg are (-1,1), (4,2), (-3,-2), (5,-4), (-2,4) and (3,-5) resp
Sophie [7]
Answer:
(1.9756, -2.1951)
Explanation:
The center of mass equation is:
=
, where m represents the masses and x represents the position.
In order to find the coordinates of the center of mass, we need to use this equation for both the x-values and the y-values.
<u>x-values:</u>
<u />
=
=
=
=
= 1.9756
<u>y-values:</u>
<u />
=
=
=
=
= -2.1951
<u>center of mass:</u>
(1.9756, -2.1951)
Answer:
A.
.
Explanation:
By definition of Electric Capacitance, the capacitance of the system (
), in farads, is described by the following formula:
(1)
Where:
- Electric charge, in coulombs.
- Voltage, in volts.
If we know that
and
, then the capacitance of the system is:


The correct answer is A.
As we know that acceleration is given as

here we know that



now we will have


so acceleration will be 3 m/s^2
Answer:
38 m/s
43 m/s
Explanation:
x = 18t + 5.0t²
The instantaneous velocity is the first derivative:
v = 18 + 10.t
At t = 2.0:
v = 18 + 10.(2.0)
v = 38 m/s
The average velocity is the change in position over change in time.
v = Δx / Δt
v = [ (18t₂ + 5.0t₂²) − (18t₁ + 5.0t₁²) ] / (t₂ − t₁)
Between t = 2.0 and t = 3.0:
v = [ (18(3.0) + 5.0(3.0)²) − (18(2.0) + 5.0(2.0)²) ] / (3.0 − 2.0)
v = [ (54 + 45) − (36 + 20.) ] / 1.0
v = 99 − 56
v = 43 m/s
Essentially, an increase in mass means an increase in gravity, while a decrease in mass means a decrease in gravity. So if the Sun spontaneously lost half its mass (gasp, shudder, the horror!) then its gravitational pull on Earth would lessen as well, ultimately changing the very nature of our orbit around the Sun.
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