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3 years ago

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Suppose a rock is hoisted up with a rope. The rock experiences 10 N of tension force upward and 10 N of gravitational force down

ward. The total net force on the rock is 20 N. True False

2 answers:

nika2105 [10]3 years ago

5 0

False. Since the forces are pulling in equal and opposite directions, the net force is 0.

LiRa [457]3 years ago

5 0

10N of tension upwards is <em>positive</em>

10N of gravitational Force downwards is <em>negative</em>

Net Force = The sum of all forces

$F_{net} = F_{tension} + F_{gravity}$

$F_{net} = 10N + (-10N) = 0$

So the answer is false.

Extra Info: If the net force was 20N there would be a tensional force of 30N moving the rock upwards.

30N - 10N = 20N

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What are the coefficients in this expression?

skad [1K]

6 and $\frac{1}{3}$

Explanation:

The expression:

6a - $\frac{3}{4} + 7.5 - \frac{b}{3}$

A coefficient is a numerical constant usually placed before a variable in an expression.

They are used to multiply variables.

Given equation is;

$6a - \frac{3}{4} + 7.5 - \frac{b}{3}$

There are two variables in this expression which are;

a and - b

$6 (a) - \frac{3}{4} + 7.5 - b (\frac{1}{3} )$

The coefficients in this expression are:

6 and $\frac{1}{3}$

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3 years ago

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Calculate the equivalent resistance for both circuits. Series circuit: 2 Ω and 4 Ω Parallel circuit: 2 Ω and 4 Ω Which circuit h

goldenfox [79]

Equivalent resistance is also known as the overall resistance.

For resistors in a series circuit, the total resistance is computed using the formula:

$R_{T} = R_{1}+ R_{2}+ R_{3}... R_{n}$

In other words, you just add up the resistance of each resistor in the series circuit. In your case you only have two resistors. You have 2Ω and 4Ω. So all you need to do is add that up.

$R_{T} = R_{1}+ R_{2}$
$R_{T} = 2 + 4=6$

The total resistance of the series circuit is 6Ω

In a parallel circuit you get the total resistance using the formula:
$\frac{1}{R_{T}} = \frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}...+\frac{1}{R_{n}}$

First you get the sum of all fractions and at the end take the reciprocal of the resulting fraction and divide. So let us take your problem into consideration where you have two resistors that have a resistance of 2Ω and 4Ω.

$\frac{1}{R_{T}} = \frac{1}{R_{1}}+\frac{1}{R_{2}}$
$\frac{1}{R_{T}} = \frac{1}{2}+\frac{1}{4}$
$\frac{1}{R_{T}} = \frac{2}{4}+\frac{1}{4}$
$\frac{1}{R_{T}} = \frac{3}{4}$

Get the reciprocal of the resulting fraction 3/4 and then divide. The reciprocal of 3/4 is 4/3.

4/3 = 1. 33Ω

So if you compare the equivalent resistance of the two circuits, the series circuit has a higher equivalent resistance.

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3 years ago

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A sinusoidal wave traveling in the negative x direction (to the left) has an amplitude of 20.0 cm , a wavelength of 35.0 cm , an

SOVA2 [1]

The expression for the wave function describing this wave is y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198).

The angular frequency of a wave is 75.4 rad/s.

<h3>What is wave function?</h3>

A wave function is a mathematical equation for the motion of the wave.

y(x, t) = A sin(kx + ωt + Φ)

where;

ω is angular speed
k is angular wavenumber
Φ is phase angle

The angular wave number of the wave is calculated as follows;

k = 2π/λ

where;

λ is the wavelength
k is the angular wavenumber

k = 2π / 0.35

k = 17.95/m

<h3>Angular speed</h3>

ω = 2πf

ω = 2π(12)

ω = 75.4 rad/s

<h3>Phase angle</h3>

75.4(0.2) sin(Φ) = -0.03

sin(Φ) = -0.001989

Φ = arc sin(-0.001989)

Φ = -0.00198

<h3>Wave function</h3>

y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198)

Thus, the expression for the wave function describing this wave is y(x,t) = 0.02 sin(17.95x + 75.4t - 0.00198).

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1 year ago

Warmup: The International Space Station is orbiting with a velocity of 7,667 m/s at an altitude of 408,000 m. The radius of Eart

poizon [28]

Answer:

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Explanation:

As per given values

Radius of earth (r) = 6371000 m

The "international space station" is orbiting with a velocity (v) = 7667 m/s.

"Centripetal acceleration" is the acceleration is equal to "the square of the velocity" divided by "the radius of the circular path".

$\text { Centripetal acceleration a }=\frac{V^{2}}{R}$

V = velocity of the orbit

R = radius of the earth + height of the space station

R = 6,371,000 + 408,000

R = 6779000 m

The direction of the centripetal acceleration is always inwards along the radius vector of the circular motion.

$a=\frac{7667^{2}}{6779000}$

$a=\frac{58782889}{6779000}$

$\mathrm{a}=8.671 \mathrm{m} / \mathrm{s}^{2}$

$\text { The International Space Station's centripetal acceleration } 8.671 \mathrm{m} / \mathrm{s}^{2}.$

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3 years ago

The heat capacity of an object depends in part on its ____.

nikdorinn [45]

If I remember it correctly, heat capacity is inversely proportional to mass so the answer is:
The heat capacity of an object depends in part on its a. mass

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3 years ago