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s2008m [1.1K]
2 years ago
6

A sphere made of rubber has a density of 1.00 g/cm3 and a radius of 8.00 cm. It falls through air of density 1.20 kg/m3 and has

a drag coefficient of 0.500. What is its terminal speed (in m/s)
Physics
2 answers:
icang [17]2 years ago
4 0

Answer:

Terminal speed= 1,826.51m/s

Explanation:

Volume of a sphere is given by: V=4/3pir^3

Where r is radius of sphere

V=4×3.142×(8)^2/3

V= 2144.66cm^3

Converting to meters

V=2144.66cm^3×(1m^3/ 1×10^-6cm^3)

V= 2.145×10^-3m^3

Area of sphereA= pi(8)^2

A= 3.142×64=210.6cm^3

Converting to meter

201cm^×(1m/10000cm^2)

A=0.0210m^2

Given:

Density of shere= 1.00kg/m^3

Drag coefficient =0.500

Mass of sphere=?

Density of sphere= mass of sphere / volume of shere

Mass= 2144.66cm^3×1.00kgcm^3

Mass= 2144.66kg

Terminal speed,VT= Sqrt(2mg)/(DpA)

VT= Sqrt( 2×( 2144.66)×9.8))/(0.500×1.20×0.021)

VT= Sqrt(42035.34/0.0126)

VT=Sqrt(3,336,137.78)

VT= 1,826.51m/s

Tom [10]2 years ago
3 0

Answer:

Explanation:

m = p_sphere*V A = pi*r^2 v_t= sqrt(2mg/Dp_airA)

The Attempt at a Solution

m = (870 kg/m^3)(4/3)pi(0.085 m)^3 = 2.24 kg

A = pi(0.085 m)^2 = 0.0227 m^2 v_t = sqrt[2(2.24 kg)(9.80 m/s^2)/(0.500)(1.20 kg/m^3)(0.0227 m^3)] = 56.8 m/s

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Natalija [7]

Answer:

Explanation:

Because we assume the pendulum is a "mathematical pendulum" (neglecting the moment of inertia of the bob), we can find:

T=2\pi\sqrt{\frac{L}{g}} \rightarrow 4=2\pi\sqrt{\frac{L}{9.81}} \rightarrow \frac{4}{\pi^{2}}=\frac{L}{9.81} \rightarrow L \approx 3.97 m

By using the y=A\sin(\omega t)  \rightarrow v = \frac{dy}{dt}=\omega A \cos\omega t = \omega\sqrt{A^{2}-y^{2}}

The mean position is the position when <em>y</em> = 0, so:

\omega = \frac{2\pi}{T}=\frac{2\pi}{4}=0.5\pi rad/s

and v = \omega A \rightarrow A=\frac{40}{0.5\pi}=\frac{80}{\pi} in centimeters (cm).

4 0
2 years ago
Debbie places two shopping carts in a cart corral. She pushes the first cart, which then pushes a second cart. What force is bei
ExtremeBDS [4]
Hey there,

Your question states: <span>Debbie places two shopping carts in a cart corral. She pushes the first cart, which then pushes a second cart. What force is being exerted? 

based by looking at this statement above about Debbie, I understand that she (pushed) Cart (A) first. And then, she exerted (Cart B) next. From the option's that are listed above, I only see two. But from my own words, not from the only (two) options above, I see that (Debbie first exerts the second cart on to the first cart). This reason would be because the first cart is already in the corral. So then she would put the second one in there, this would mean that the second one would push the other one in there. Which means that the velocity would also be in half.

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5 0
2 years ago
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Anna [14]

Answer:

(1) Exercise should be painful in order for it to be beneficial. FALSE

(2) Proper progression involves a gradual increase in the level of exercise. TRUE

(3) Exercising on a regular, consistent basis provides you with the best results. TRUE

Explanation:

(1) It is a false statement because whenever we do exercise, it should not be painful, it should be comfortable to some extent for a person, if it will be painful then it means one cant get the true and genuine benefit from the exercise.

(2) It is very much true because one must keep on increasing the level of his/her exercise gradually with the passage of time, it will make his/her body synchronized with the exercise properly.

(3) It is also a true statement because, one must use variety of exercises in his/her workout session targeting different muscles and different areas and parts of the body to make exercise really beneficial.

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3 years ago
Different asteroids reflect different percentages of the light falling on them. This is due to the fact that they have different
Georgia [21]

Due to the Composition, different asteroids reflect different percentages of the light falling on them.

What are Asteroids:

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Composition of Asteroids:

  • Most of the asteroids in the Main Belt are made of rock and stone.
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We determine reflectivity of asteroids by comparing the brightness of light in the visible spectrum to the brightness of light in the infrared spectrum. The light shining from asteroids is reflected sunlight.

Hence we can say that,

Due to the Composition, different asteroids reflect different percentages of the light falling on them.

Learn more about Asteroids here:

<u>brainly.com/question/13047582</u>

<u />

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4 0
1 year ago
What is the acceleration of a 10kg mass pushed by a 5N force?​
GenaCL600 [577]

Answer:

<h2>0.5 m/s²</h2>

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

a =  \frac{f}{m}  \\

From the question we have

a =  \frac{5}{10} =  \frac{1}{2}   \\  = 0.5

We have the final answer as

<h3>0.5 m/s²</h3>

Hope this helps you

5 0
2 years ago
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