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Lynna [10]
3 years ago
9

When a baseball is thrown straight upward, what is its acceleration at its greatest height? Please explain your answer.

Physics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer: A

Explanation:

The acceleration of gravity is always 9.8 m/s^2 downwards, even if the velocity is 0 m/s.

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Two parallel plates, each of area 3.37 cm2, are separated by 5.40 mm. The space between the plates is filled with air. A voltage
baherus [9]

Answer:

1, 1583.33 V/m

2, 4.72*10^-12 C

3, 39.2*10^-11 C

Explanation:

1

E = V / d

E = 8.55 / 5.4*10^-3

E = 8.55 / 0.0054

E = 1583.33 V/m

2

Capacitance, C = (k * e0 * A) / d, where k = 1

A = area of capacitor, 3.37 cm² = 3.37*10^-4 m²

d = plate separation, 5.4 mm

e0 = Constant, 8.85*10^-12

Applying these, we have

C = (1 * 8.85*10^-12 * 3.37*10^-4) / 5.4*10^-3

C = 29.82*10^-16 / 0.0054

C = 5.52*10^-13 F

Since Q = CV, then

Q = 5.52*10^-13 * 8.55

Q = 4.72*10^-12 C

3

We are given that k = 83, so

Capacitance, C = (k * e0 * A) / d

C = (83 * 8.85*10^-12 * 3.37*10^-4) / 5.4*10^-3

C = 2.475*10^-13 / 0.0054

C = 4.58*10^-11 F

Q = CV

Q = 4.58*10^-11 * 8.55

Q = 39.2*10^-11 C

5 0
3 years ago
Create the following matrix H:
sladkih [1.3K]

Answer:

a) {[1.25  1.5  1.75  2.5  2.75]

    [35  30  25  20  15]  }

b) {[1.5  2  40]

    [1.75  3  35]

    [2.25  2  25]

    [2.75  4  15]}

Explanation:

Matrix H: {[1.25  1.5  1.75  2  2.25  2.5  2.75]

                [1  2  3  1  2  3  4]

                [45  40  35  30  25  20  15]}

Its always important to get the dimensions of your matrix right. "Roman Columns" is the mental heuristic I use since a matrix is defined by its rows first and then its column such that a 2 X 5 matrix has 2 rows and 5 columns.

Next, it helps in the beginning to think of a matrix as a grid, labeling your rows  with letters (A, B, C, ...) and your columns with numbers (1, 2, 3, ...).

For question a, we just want to take the elements A1, A2, A3, A6 and A7 from matrix H and make that the first row of matrix G. And then we will take the elements B3, B4, B5, B6 and B7 from matrix H as our second row in matrix G.

For question b, we will be taking columns from matrix H and making them rows in our matrix K. The second column of H looks like this:

{[1.5]

[2]

[40]}

Transposing this column will make our first row of K look like this:

{[1.5  2  40]}

Repeating for columns 3, 5 and 7 will give us the final matrix K as seen above.

4 0
3 years ago
A spring is compressed 8 cm. It is then brought back to equilibrium and compressed 24 cm. How much more work is done in the seco
posledela

Answer:

Nine times

Explanation:

x_{i} = Initial compression of the spring = 8 cm = 0.08 m

x_{f} = Final compression of the spring = 24 cm = 0.24 m

k = Spring constant of the spring

Initial spring energy is given as

U_{i} = (0.5) k x_{i}^{2}\\U_{i} = (0.5) k (8)^{2}\\U_{i} = 32 k

Initial spring energy is given as

U_{f} = (0.5) k x_{f}^{2}\\U_{f} = (0.5) k (24)^{2}\\U_{f} = 288 k = (9) (32) k = 9 U_{i}

3 0
4 years ago
A student carries a backpack for one mile. Another student carries the same backpack for two miles
Svetllana [295]

Answer:

Compared to the first student, the second student did twice as much work as the first student.

Explanation:

The work done by the first student will be equal to the Force exerted by the backpack on the student carrying it multiplied by one mile (Distance).  The work done by the second student will be equal to the Force exerted by the backpack on the student carrying it multiplied by two miles (Distance).

3 0
3 years ago
Convective cooling cools rocks much more rapidly than heat conduction. hydrothermal circulation represents convective cooling at
Luda [366]
When geophysicists measure the geothermal gradient in areas on the ridges where there is no activity hydrothermally, the gradient is far below than what is predicted theoretically, but when measured near hydrothermal vents it is more than what is predicted. This is because most of the heat is being carried through convection by hydrothermal systems so that the average gradient when measured far from the circulation would be depressed or lower.
7 0
3 years ago
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