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4 years ago

15

A person jogs 4.0 km in 32 minutes, then 2.0 km in 22 minutes, and finally 1.0 km in 16 minutes. What is the jogger's average sp

eed in km per minute?

1 answer:

kupik [55]4 years ago

7 0

Answer:

22

Explanation:

i did it before

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3. Planet 1 has mass M₁ and radius R₁. Planet 2 has mass M₂ and radius

Oksanka [162]

(a) The initial speed must the object be launched so that it reaches

the surface of Planet 2 with zero speed is √[2G{ M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂}]

(b) An inequality between M₁ and M₂ that represents when (a)

can occur is { M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂} ≥ 0

(c) if R₁ = R₂, then M₁ must be greater than M₂ is proved.

<h3>What is gravity?</h3>

The force of attraction felt by a person which is directed at the center of a planet or Earth is called as the gravity.

The force of attraction is directly proportional to the product of masses of the object and inversely proportional to the square of distance between them.

F = GMm/R²

Given, Planet 1 has mass M₁ and radius R₁. Planet 2 has mass M₂ and radius R₂. The two planets are a distance of L apart, measured from surface to surface. An object is launched with some initial speed from the surface of Planet 1 directly towards Planet 2. For this problem, assume that Planets1 and 2 are stationary.

If v is the launch velocity, then initial total energy will be

T.E = 1/2 mv² + ( -GM₁m/ R₁ - G M₂m/(R₂ + L)

The final total energy will be

T.E =0 + ( -GM₁m/ (R₁ +L) - G M₂m/ R₂)

From energy conservation principle, we get

1/2 mv² + ( -GM₁m/ R₁ - G M₂m/(R₂ + L) = ( -GM₁m/ (R₁ +L) - G M₂m/ R₂)

v = √[2G{ M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂}]

(b) an inequality between M₁ and M₂ so that object reaches the surface of Planet 2 with zero speed is

[2G{ M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂}] =0

{ M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂} ≥ 0

Thus, this is an inequality between M₁ and M₂.

(c) If R₁ = R₂, then

{ M₁/ R₁ + M₂/(R₂ + L) - M₁/ (R₁ +L) - M₂/ R₂} ≥ 0

M₁(R+L) + M₂R - M₁R -M₂(R+L) / R (R+L) ≥ 0

M₁(R+L) + M₂R - M₁R -M₂(R+L) ≥ 0

M₁L - M₂L ≥ 0

M₁ ≥ M₂

M₁ must be greater than M₂.

Learn more about gravity.

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8 0

2 years ago

My question is in the picture, someone actually please answer it. And don’t just comment for the points, please answer it.

hram777 [196]

Answer:

Look at the attachment to see the work. It should be attached right below this, but if it's not, please let me know.

Explanation:

(I've never attached anything before so I'd like to know if it worked)

6 0

2 years ago

When changing a tire sized 195/75 R15 to a 5 percent lower profile, the correct tire size would be _____

valentinak56 [21]

Answer and explanation:

When you are changing a car tire, the most important thing is to keep the total diameter as equal as possible.

The total car tire diameter can be calculated as:

$D_{tot orig}=\frac{195 \cdot 75}{2540 \cdot 2}+15''=26.5''$

The profile of this tire is 75 (the higher/taller relation), therefore a 5 percent lower profile would be:

pr=0.95·75=71.25

The problem is that the profiles are normalized and the nearest profile available is 70.

If we take a theorical tire with a profile of 71.25:

$D_{tot orig}=D_{new}\\\frac{195 \cdot 75}{2540 \cdot 2}+15''=\frac{X \cdot 71.25}{2540 \cdot 2}+15''\\X=205.26$

The theorical tire size should be 205/71 R15.

If we look for a real tire size, we should look for a tire with a diameter nearest to 26.5'' and a profile of 70.

The best option for real tire size is: Tire 225/70 R14 (wheel diameter of 26.4'') or 205/70 R15 (wheel diameter of 26.3'').

3 0

4 years ago

Name the two types of vaporization and explain the difference between them. Give one example of each.

kolezko [41]

Evaporation and boiling.
Evaporation refers to only the surface level turning it into a gas and the vaporization pressure of the liquid remains low.
When a substance boils it’s pressure is high and the surface evaporated along with the rest of the liquid at an equal rate. A sign of boiling is the presence of bubbles, which occur only in the process of boiling and not in evaporation.
A example of boiling is heating water up to the point until you see steam and bubbles.
A example of evaporation is the melting of an ice cube.
Hope this helps

4 0

3 years ago

The geologic force applied to rocks is called

amid [387]

The geologic force applied to rocks is called compression. Compression<span> is the stress that squeezes </span>rocks<span> together. As a result of the c</span>ompression rocks fold or fracture depending on their compressive strength<span> or </span>compression strength<span> - the capacity of a material or structure to withstand loads tending to reduce size.
</span>When the compression is horizontal the crust will be s<span>hortened and thickened.</span><span> When the compression is vertical maximum a section of rock will fail in </span>normal faults<span>, horizontally extending and vertically thinning a given layer of rock.</span>

4 0

3 years ago