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Alenkasestr [34]
2 years ago
8

Two 20 ohm resistors are connected in parallel and two 10 ohm resistors are connected in parallel. If these two combinations are

connected in series the equivalent resistance of the combination is: a) 20 ohm b) 10 ohm c) 15 Ohm d) 30 Ohm

Physics
1 answer:
geniusboy [140]2 years ago
5 0

C. 15Ω.

The circuit diagram is shown in the first image attached. To solve this problem we have to use the equivalent resistor conected in parallel Req = (R1*R2)/(R1+R2).

Calculating the equivalent resistor in the 20Ω resistor parallel arrangement:

RAeq = [(20*20)/(20+20)] Ω

RAeq = 400/40 Ω

RAeq = 10Ω

Calculating the equivalent resistor in the 10Ω resistor parallel arrangement:

RBeq = [(10*10)/(10+10)]Ω

RBeq = 100/20 Ω

RBeq = 5Ω

Both equivalent resistors are in series. So, in order to calculate the equivalent resistance of the combination:

Rtotal = RAeq + RBeq

Rtotal = 10Ω + 5Ω

Rtotal = 15Ω

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Answer:

The moment of inertia is I=\frac{M}{12} a^{2}

Explanation:

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I=\int\limits^a_b {r^{2}\frac{M}{a}  } \, dr\\a=\frac{a}{2} \\b=-\frac{a}{2}

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Answer:

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2 years ago
While visiting the planet Mars, Moe leaps straight up off the surface of the Martian ground with an initial velocity of 105 m/s
yawa3891 [41]

Answer:

L = 0 m

Therefore, the cricket was 0m off the ground when it became Moe’s lunch.

Explanation:

Let L represent Moe's height during the leap.

Moe's velocity v at any point in time during the leap is;

v = dL/dt = u - gt .......1

Where;

u = it's initial speed

g = acceleration due to gravity on Mars

t = time

The determine how far the cricket was off the ground when it became Moe’s lunch.

We need to integrate equation 1 with respect to t

L = ∫dL/dt = ∫( u - gt)

L = ut - 0.5gt^2 + L₀

Where;

L₀ = Moe's initial height = 0

u = 105m/s

t = 56 s

g = 3.75 m/s^2

Substituting the values, we have;

L = (105×56) -(0.5×3.75×56^2) + 0

L = 0 m

Therefore, the cricket was 0m off the ground when it became Moe’s lunch.

5 0
3 years ago
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n200080 [17]

1c. The goal of technology is to improve how people live. For example a toothbrush helps prevent cavities and buildup on our teeth.

2a. Science and technology both help improve our lives. Science gives us the knowledge we need to create technology.

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2c. Prosthetics are created though scientific study and research. Technology is used to create the material prosthetics are made of and to help design the prosthetics.

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Negatives:

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5 0
2 years ago
a) Calculate the height (in m) of a cliff if it takes 2.21 s for a rock to hit the ground when it is thrown straight up from the
DedPeter [7]

Answer:

a)Height of the cliff = 6.19 m

b) t = 0.571 s

Explanation:

We need to first calculate the time it takes the rock to go up and come down to the cliff's level first.

Using the equations of motion,

g = -9.8 m/s², u₁ = Initial velocity = 8.03 m/s,

v = velocity at maximum height = 0 m/s

t₁ = time to reach maximum height = ?

a) v₁ = u₁ + gt₁

0 = 8.03 - 9.8t

t₁ = 8.03/9.8 = 0.819 s

Total time of flight for the rock to leave the cliff and reach maximum height = 0.819 s

Height that the rock attains, measured from the top of the cliff to the maximum height, y₁ = ?

y₁ = ut₁ + gt₁²/2 = 8.03(0.819) - 9.8(0.819²)/2 = 3.29m

Total time of flight of the rock, t = t₁ + t₂

Subtracting the time obtained from the first part (0.819 s) from the total time would give the time it took the rock to travel from maximum height reached to the ground.

t₂ = 2.21 - 0.819 = 1.391 s

Let y = total height fallen through = y₁ + (height of the cliff) = y₁ + H = ?

g = 9.8 m/s²

t₂ = 1.391 s

u₂ = initial velocity for 2nd phase of rock motion = velocity at maximum height = 0 m/s

y = u₂t₂ + gt₂²/2

y = 0 + 9.8(1.391²)/2

y = 9.48 m

y = y₁ + H

9.48 = 3.29 + H

H = 9.48 - 3.29 = 6.19 m

b) y = H = 6.19 m, u = 8.03 m/s, t = ?,

y = ut + gt²/2

6.19 = 8.03t + 9.8t²/2

4.9t² + 8.03t - 6.19 = 0

Solving the quadratic eqn

t = -2.21 s or 0.571 s

Since time can only be positive,

t = 0.571 s

(PROVED)

4 0
3 years ago
Read 2 more answers
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