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lions [1.4K]
4 years ago
9

What is the weight of the ethyl alcohol that exactly fills a 200.0 mL container? The density of ethyl alcohol is 0.789 g/mL

Physics
1 answer:
sweet [91]4 years ago
3 0

Answer:

1.55 N

Explanation:

Density = mass / volume

0.789 g/mL = m / 200.0 mL

m = 157.8 g

Weight = mass × acceleration due to gravity

W = (0.1578 kg) (9.8 m/s²)

W = 1.55 N

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It is, A.combustion.
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3 years ago
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Use the ratio version of Kepler’s third law and the orbital information of Mars to determine Earth’s distance from the Sun. Mars
zhuklara [117]

Kepler's third law is used to determine the relationship between the orbital period of a planet and the radius of the planet.

The distance of the earth from the sun is 1.50 \times 10^{11}\;\rm m.

<h3>What is Kepler's third law?</h3>

Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of the radius of their orbits. It means that the period for a planet to orbit the Sun increases rapidly with the radius of its orbit.

T^2 \propto R^3

Given that Mars’s orbital period T is 687 days, and Mars’s distance from the Sun R is 2.279 × 10^11 m.

By using Kepler's third law, this can be written as,

T^2 \propto R^3

T^2 = kR^3

Substituting the values, we get the value of constant k for mars.

687^2 = k\times (2.279 \times 10^{11})^3

k = 3.92 \times 10^{-29}

The value of constant k is the same for Earth as well, also we know that the orbital period for Earth is 365 days. So the R is calculated as given below.

365^3 = 3.92\times 10^{-29} R^3

R^3 = 3.39 \times 10^{33}

R= 1.50 \times 10^{11}\;\rm m

Hence we can conclude that the distance of the earth from the sun is 1.50 \times 10^{11}\;\rm m.

To know more about Kepler's third law, follow the link given below.

brainly.com/question/7783290.

6 0
3 years ago
Point A of the circular disk is at the angular position θ = 0 at time t = 0. The disk has angular velocity ω0 = 0.17 rad/s at t
statuscvo [17]

Given that,

Angular velocity = 0.17 rad/s

Angular acceleration = 1.3 rad/s²

Time = 1.7 s

We need to calculate the angular velocity

Using angular equation of motion

\omega=\omega_{0}+\alpha t

Put the value in the equation

\omega=0.17+1.3\times1.7

\omega=2.38(k)\ m/s

We need to calculate the angular displacement

Using angular equation of motion

\theta=\theta_{0}+\omega_{0}t+\dfrac{\alpha t^2}{2}

Put the value in the equation

\theta=0+0.17\times1.7+\dfrac{1.3\times1.7^2}{2}

\theta=2.1675\times\dfrac{180}{\pi}

\theta= 124.18^{\circ}

We need to calculate the velocity at point A

Using equation of motion

v_{A}=v_{0}+\omega\times r

Put the value into the formula

v_{A}=0+2.38(k) \times0.2(\cos(124.18)i+\sin(124.18)j))

v_{A}=0.476\cos(124.18)j+0.476\sin(124.18)i

v_{A}=(-0.267j-0.393i)\ m/s

We need to calculate the acceleration at point A

Using equation of motion

a_{A}=a_{0}+\alpha\times r+\omega\times(\omega\times r)

Put the value in the equation

a_{A}=0+1.3(k)\times0.2(\cos(124.18)i+\sin(124.18)j)+2.38\times2.38\times0.2(\cos(124.18)i+\sin(124.18)j)

a_{A}=0.26\cos(124.18)i+0.26\sin(124.18)j+(2.38)^2\times0.2(\cos(124.18)i+\sin(124.18)j)

a_{A}=-0.146j-0.215i−0.636i+0.937j

a_{A}=0.791j-0.851i

a_{A}=-0.851i+0.791j\ m/s^2

Hence, (a). The velocity at point A is (-0.267j-0.393i)\ m/s

(b). The acceleration at point A is (-0.851i+0.791j)\ m/s^2

3 0
4 years ago
the figure shows an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angl
Cerrena [4.2K]

Answer:

(a) 1.054 m/s²

(b) 1.404 m/s²

Explanation:

0.5·m·g·cos(θ) - μs·m·g·(1 - sin(θ))  - μk·m·g·(1 - sin(θ))  = m·a

Which gives;

0.5·g·cos(θ) - μ·g·(1 - sin(θ)   = a

Where:

m = Mass of the of the block

μ = Coefficient of friction

g = Acceleration due to gravity = 9.81 m/s²

a = Acceleration of the block

θ = Angle of elevation of the block = 20°

Therefore;

0.5×9.81·cos(20°) - μs×9.81×(1 - sin(20°)  - μk×9.81×(1 - sin(20°) = a

(a) When the static friction μs = 0.610  and the dynamic friction μk = 0.500, we have;

0.5×9.81·cos(20°) - 0.610×9.81×(1 - sin(20°)  - 0.500×9.81×(1 - sin(20°) = 1.054 m/s²

(b) When the static friction μs = 0.400  and the dynamic friction μk = 0.300, we have;

0.5×9.81·cos(20°) - 0.400×9.81×(1 - sin(20°)  - 0.300×9.81×(1 - sin(20°) = 1.404 m/s².

3 0
3 years ago
The energy of atoms and molecules in an object due to their motion is_______ energy
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I think the answer is potential 
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