Answer: 33.5 x 10⁻⁶ C
Explanation:
By definition, the capacitance is the relationship between the charge on one of the plates (assuming it's a capacitor) and the voltage between them:
C = Q / V
Now, it can be showed that we can find the capacitance of a parallel-plate capacitor, taking into account the geometry and the dielectric material only, as follows:
C = ε A /d = ε₀ εr A / d
If the dielectric is air, we can assume εr = 1
If the space between plates is filled with a dielectric of dielectric constant 7.74, the new value for capacitance (regarding the former value) must be 7.74 times larger, as A and d didn't change.
So, in order to produce the same potential difference between the plates, we need to increase the charge, exactly 7.7 times:
Q = 7.7. 4.33 . 10⁻⁶ C = 33.5 . 10⁻⁶ C
The correct answer is 1.2 m/s
: mv+mv=mv+mv
(0.5kg)(2m/s)+(0.4kg)(0m/s)=(0.5kg)v+(0.4kg)(1m/s)
= 1kg*m/s=(0.5kg)v+0.4kg*m/s
=1kg*m/s-0.4kg*m/s=(0.5kg)v
=0.6kg*m/s=(0.5kg)v
to solve for v we divide both side by 0.5kg
v=1.2m/s
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Answer:
2.7km
Explanation:
Two methods: Convert km/hour to km/minutes or convert 3/2 minutes to hours.
Then multiply time to get the distance of the car traveled.
