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Anastasy [175]
3 years ago
14

It is known that a certain kind of algae in the Dead Sea can double in population every 2 days. Suppose that the population of a

lgae grows exponentially, beginning now with a population of 1,000,000. (a) How long it will take for the population to quadruple in size?
Physics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

4 days

Explanation:

1,000,000*4=4,000,000(total size after quadrupling)

1,000,000*2=2,000,000(after 2 days.)

2,000,000*2=2,000,000(after 4 days.)

therefore it will take 4 days to quadruple in size

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At one particular moment, a 19.0 kg toboggan is moving over a horizontal surface of snow at 4.00 m/s. After 7.00 s have elapsed,
Lina20 [59]

Answer:

10.86 N

Explanation:

Let the average frictional force acting on the toboggan be 'f' N.

Given:

Mass of toboggan (m) = 19.0 kg

Initial velocity (u) = 4.00 m/s

Final velocity (v) = 0 m/s

Time for which friction acts (Δt) = 7.00 s

Now, change in momentum is given as:

\Delta p =Final\ momentum-Initial\ momentum\\\\\Delta p=mv-mu\\\\\Delta p=19.0\ kg(0-4.00)\ m/s\\\\\Delta p=-76.00\ Ns

Now, we know that, change in momentum is equal to the impulse acting on the body. So,

Impulse is, J=\Delta p=-76.00\ Ns

Now, we know that, impulse is also given as the product of average force and the time interval for which it acts. So,

J=f\times \Delta t

Rewriting the above equation in terms of 'f', we get:

f=\dfrac{J}{\Delta t}

Plug in the given values and solve for 'f'. This gives,

f=\frac{-76.00\ Ns}{7.00\ s}\\\\f=-10.86\ N

Therefore, the magnitude of frictional force is |f|=|-10.86\ N|=10.86\ N

3 0
3 years ago
Explica virgula din structura"Vesela verde câmpie acu-i trista,vestezita. "...dau coroana...la limba romană. Plsss
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8 0
2 years ago
A student whirls a rubber stopper attached to a string in a horizontal circle above her head. If the radius of the stopper in ci
alexandr402 [8]

Answer:

v = 12.57 m/s

Explanation:

As we know that the radius of the circular motion is given as

R = 50.00 cm

time period of the motion is given as

T = 0.2500 s

now we know that it is moving with uniform speed

so it is given as

v = \frac{2\pi R}{T}

now plug in all data

v = \frac{2\pi(0.50)}{0.25}

v = 12.57 m/s

3 0
3 years ago
A slanted vector has a magnitude of 41 N and is at an angle of 23 degrees north of east. What are the magnitude and direction of
jenyasd209 [6]

Answer:

The horizontal component is 37.74 N to east

The vertical component is 16.02 N to North

Explanation:

Any slant vector has two components

→ Horizontal component = R cos Ф

→ Vertical component = R sin Ф

→ R is the magnitude of the vector

→ Ф is the direction of the vector with positive part of the horizontal axis

A slanted vector has a magnitude of 41 N and is at an angle of 23

degrees north of east

23° north of east means the angle between the vector and the

east direction is 23° (east is the positive horizontal direction)

That means R is 41 N and Ф is 23°

→ R = 41 N , Ф = 23°

→ The horizontal component = 41 × cos(23) = 37.74 N east

→ The vertical component = 41 × sin(23) = 16.02 N North

<em>The horizontal component is 37.74 N to east</em>

<em>The vertical component is 16.02 N to North</em>

7 0
3 years ago
Samples of different materials, A and B, have the same mass, but the sample
Effectus [21]

Answer:

B. The particles that make up material B have more mass than the

particles that make up material A.

Explanation:

3 0
2 years ago
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