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never [62]
3 years ago
8

Two capacitors with capacitances of 3.25 and 5.00 μF, respectively, are connected in parallel. The system is connected to a 55-V

battery. What charge accumulates on the 3.25-μF capacitor?
Physics
1 answer:
Nataliya [291]3 years ago
7 0

The charge accumulated in 3.25 μF capacitor is 178.75 μC.

Answer:

Explanation:

In parallel connection, the voltage drop across any passive devices like capacitor or resistor will be constant. So the current flow will be varying in case of parallel connections of capacitors or resistors.

As the capacitance is the measure of amount of charge or current generated for a given amount of voltage, it is directly proportional to the charge or current and inversely proportional to voltage.

C = Q/V

Here the charge accumulated in a capacitor of capacitance 3.25 microfarad need to be determined which is in parallel connection with another capacitor. So the voltage through both the capacitor will be equal to the voltage of the battery which is stated as 55 V.

3.25×10^{-6} = Q/55

Q = 3.25 * 55 = 178.75 μC

So the charge accumulated in 3.25 μF capacitor is 178.75 μC.

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scZoUnD [109]

Answer:

The density ρ of metal block is 8.92g/cm³

So from the given density table this corresponds to copper which has density of 8.92(g/mL)

Explanation:

Oh yeah, I got the correct unit update,

Now this problem bothers on the density of substances

We know that the density of a substance is expressed as

Density ρ= mass/ volume

Given data

Mass of metal block m= 62.44g

Volume of metal block v= 7 cm³

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ρ of metal block = 62.44/7

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3 years ago
A speed boat travels from the dock to the first buoy a distance of 20 meters in 18 seconds it began the trip at a speed of 0 m/s
Lunna [17]

Answer:

1.11 m/s

Explanation:

The motion of the boat is an example of accelerated motion, since the velocity is not constant. However, we don't need to find the acceleration, because we are only interested in the average velocity of the boat, which is given by:

v=\frac{d}{t}

where d is the total distance covered and t the time taken. In this problem, the boat covered a distance of d = 20 m and it takes t = 18 s, therefore the average velocity is

v=\frac{20 m}{18 s}=1.11 m/s

6 0
3 years ago
A cheetah can run at a maximum speed 97.8 km/h and a gazelle can run at a maximum speed of 78.2 km/h. If both animals are runnin
emmainna [20.7K]

(1)

Cheetah speed: v_c = 97.8 km/h=27.2 m/s

Its position at time t is given by

S_c (t)= v_c t (1)

Gazelle speed: v_g = 78.2 km/h=21.7 m/s

the gazelle starts S0=96.8 m ahead, therefore its position at time t is given by

S_g(t)=S_0 +v_g t (2)

The cheetah reaches the gazelle when S_c=S_g. Therefore, equalizing (1) and (2) and solving for t, we find the time the cheetah needs to catch the gazelle:

v_c t=S_0 + v_g t

(v_c -v_g t)=S_0

t=\frac{S_0}{v_c-v_t}=\frac{96.8 m}{27.2 m/s-21.7 m/s}=17.6 s


(2) To solve the problem, we have to calculate the distance that the two animals can cover in t=7.5 s.

Cheetah: S_c = v_c t =(27.2 m/s)(7.5 s)=204 m

Gazelle: S_g = v_g t =(21.7 m/s)(7.5 s)=162.8 m

So, the gazelle should be ahead of the cheetah of at least

d=S_c -S_g =204 m-162.8 m=41.2 m

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