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Murrr4er [49]
3 years ago
11

The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t =

time, and a = acceleration. Solve this formula for a. Show all steps in your work. plz someone >~<.
Physics
1 answer:
Taya2010 [7]3 years ago
8 0
We are given with the expression d = ut + 0.5 at^2 and is asked to express the equation in terms of a. First, we transpose ut to the left side, then we multiply to the equation and divide lastly the resulting equation by t^2. The final expression becomes a = 2(d-ut)/t^2.
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Addition of a metal slab of thickness "a" between the plates of a parallel plate capacitor of plate separation "d" is equivalent
Crazy boy [7]

Answer:

K =  \frac{d}{d+a}

Explanation:

The capacitance of a capacitor in terms of the dielectric constant, area of the plate and the distance separating the plate is given by:

C = \frac{\epsilon A}{d}

Where A = Area of the plate

d = distance between the plates

\epsilon = dielectric constant

Case 1:

When a meta slab of thickness, a, is added between the plates of the parallel plate capacitor , the effective separation between the plates becomes d+a

Therefore the capacitance of the capacitor becomes:

  C = \frac{\epsilon A}{d + a} .......................(1)

Case 2:

Introducing a dielectric with dielectric constant K between the plates, the capacitance of the capacitor becomes:

C = \frac{K\epsilon A}{d}.........................(2)

Equating (1) and (2)

\frac{K\epsilon A}{d} = \frac{\epsilon A}{d+a}\\\frac{K}{d} = \frac{1}{d+a} \\K = \frac{d}{d+a}

3 0
3 years ago
3. Given f(x) = x2 - 5x+3, then<br>A. f(-1) = -3<br>b. f(-1) = 7<br>f(-1) = -1<br>d. f(-1) = 9​
Phantasy [73]

Answer:

d

f(x) =  {x}^{2}  - 5x + 3 \\ f( - 1) =  {( - 1)}^{2}  - 5( - 1) + 3 \\  = 9

7 0
3 years ago
Quick does the watermelon have more or less mass then the 2kg bottle?
Ratling [72]

Answer

it will be less\

Explanation:

6 0
3 years ago
A person kicks a rock off a cliff horizontally with a speed of 20 m/s. It takes 7.0 seconds to hit the ground.
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6 0
2 years ago
A "spherical capacitor" is constructed of two thin, concentric spherical shells of conducting material. Let a be the radius of t
Shalnov [3]

Answer:

C=\frac{ab}{k(b-a)}

Explanation:

We can assume this problem as two concentric spherical metals with opposite charges.

We have also to take into account the formulas for the electric field and the capacitance. Hence we have

C=\frac{Q}{V}\\\\E=k\frac{Q}{r^2}\\

Where k is the Coulomb's constant. Furthermore, by taking into account the expression for the potential and by integrating

dV=Edr\\\\V=\int_{R_1}^{R_2}Edr=-\int_{R_1}^{R_2}\frac{kQ}{r^2}dr\\\\V=kQ[\frac{1}{R_2}-\frac{1}{R_1}]

Hence, the capacitance is

C=\frac{1}{k[\frac{1}{R_2}-\frac{1}{R_1}]}

but R1=a and R2=b

C=\frac{ab}{k(b-a)}

HOPE THIS HELPS!!

3 0
3 years ago
Read 2 more answers
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